Three springs are connected to a mass m

) is to be connected to the rotating machine in order to act as a vibration absorber. This is a quartic equation in ω, but it is also a quadratic equation in ω2, and there are just two positive solutions for ω. We will assume that when the masses are in their equilibrium position, the springs are also in their equilibrium positions. Blocks A and B are connected by a dashpot and block B is connected to the ground by two dash-pots, e A block of mass m is connected to another block of mass M by a massless spring of springs constant K initially the blocks are at rest and the spring is unstreatched when a constant force F starts acting on the block of mass M to pull, Find the max extension of the spring. What is the change in length of three springs connected in series and parallel, as shown in the figure below? Known : The change in length of a spring (Δx) = 4 cm = 0. Physics. Two particles, each of mass M, are hung between three identical springs. ∴ Equivalent spring constant =(k+k) =2k. 4k,2π 4kM. Each mass has mass m, and is attached to a rigid wall with a spring of spring constant k1. If the two springs with spring constant k 1 and k 2 are arranged as shown in figure, then the effective spring constant of two spring system will be Q. The total deformation x is the sum of the deformation xi of each spring. The two outer springs each have force constant k, and the inner spring has force constant A block of mass m is connected to three springs as shown in the figure. Consider two masses m, connected to each other and to two walls by three springs, as shown in Figure 1. k = 10 N/m k = 40 N/m b. At this requency, all three masses move together in the same direction with the center A body of mass m hangs from three springs, each of spring constant K, as shown. 1. Three identical springs, with the same spring constant k = 40 N/m, are used to connect the mass (m = 20 kg) to a ceiling. Now, this equation must hold for arbitrary and , so each piece Each spring is deformed by an amount xi = F / ki. 1) The potential energy for a pair of springs is given by: U, - }* [ (x = x Tow identical springs are connected to mass m as shown (k = spring constant). Figure 3 (b) shows an assemblage of two roller-supported rigid blocks and three springs connected to rigid walls. 'The displacement of the masses from their equilibrium positions are denoted by x1 and x2. Two mass points of equal mass m are connected to each other and to fixed points by three equal springs of force constant k, as shown in the diagram. The separation is a. A constant force vecF is exerted on the rod so that remains perpendicular to the direction of the force. Four springs are attached to a mass m as shown. The coupling spring has a spring constant kand the other two springs have spring constant ko. Each spring of stiffness k can move in the (x,y) plane. A system of masses connected by springs is a classical system with several degrees of freedom. Three identical masses [10 points) Three identical masses of mass m are connected by four springs. A massless spring of constant 1000 N m − 1 is compressed a distance of 20 cm between discs of 8 kg and 2 kg, spring is not attached to discs. Each mass point has a positive charge +q, and they repel each other according to the Coulomb law. a) When the two spring system is set into simple harmonic motion, will its period be greater than, less than, or the same as with the single Three spring are connected to a mass m (= 100 g) as shown in figure. Spring 1 and 2 have spring constants k_1 and k_2 respectively. Two masses and three springs*. Blocks A and B, of mass m, are supported as shown by three springs of the same constant k. The block is displaced down slightly and left free; it starts oscillating. Blocks A A and B B are connected by a dashpot and block B B is connected to the ground by two dashpots, each dashpot having the same coefficient of damping c c. View Solution. Now the left spring (along with P) is compressed by A 2 and the right spring (along with Q) is compressed by A. Rightmost sping connects right mass to right wall with Question 3. They vibrate along the line joining their centres. Apr 2, 2024 · Three light springs are connected to a block of mass M kept on a frictionless plane as shown in the figure. The distance PQ = 3a > 31, Find the frequencies of the Three point masses, one of mass 2m and two of mass m are constrained to move on a circle of radius R. We are interested in solving for the eigenmodes of the system Two sphere of mass m and negligible size are connected to two identical springs of force constant k as shown in Figure 1. Set up the secular equation for the eigenfrequencies. Three equal masses m are connected by four identical massless springs of elastic constant k. The free ends of the springs are fixed to walls, as shown in the diagram below. 4082 (slow, low frequency) and 1 (fast, high frequency). Consider two identical masses, m, connected to opposite walls with identical springs with spring constants, k 0. The masses of the springs are 1 kg,2 kg and 3 kg, respectively. If the springs have a stiffness of k1 and then k2, find the frequency of oscillation of m. 6 N m , as shown in the image Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on. Answer the following questions: a) What are the normal mode frequencies in the limit Sep 7, 2012 · A three degree-of-freedom mass-spring system (consisting of three identical masses connected between four identical springs) has three distinct natural modes of oscillation. If both the springs have a spring constant k, then the frequency of oscillation of the block is : 1 2 π √ k M; 1 2 π √ k 2 M; 1 2 π √ 2 k M; 1 2 π √ M k Feb 15, 2020 · A particle of mass \'m\' is attached to three identical springs `A,B` and `C` each of force constant \'K\' as shown in figure. If spring constant k = 50 Nm-1, and a mass of 400 gram is attached at one end of the spring. The equilibrium length of each spring is a. 6 shows the equilibrium position. 2 kN/m, are of equal length and undeformed when 6-0. The rollers have negligible masses. A 0. The mass is displaced horizontally by a small distance. The three spheres are connected by three springs, as shown in the figure. Q3 below. When the coordinate y is equal to zero, there is no spring force. A displacement of the mass by a distance x results in the first spring lengthening by a distance x (and pulling in the -\hat\mathbf{x} direction), while the second spring is compressed by a distance x (and pushes in the same -\hat\mathbf{x} direction). If a 2. They are in series. The dashpot exerts a force of bv, where v is the relative velocity of its two ends. [10 Marks) Figure Q3 shows three springs in series connected to a mass, with the stiffness of kı, k2 and k3 respectively. Now two such springs are connected end to end, and the same mass m is attached. Mass A is displaced to left and B is displaced towards right by same amount and released then time period of oscillation of any one block (Assume collision to be perfectly elastic) Consider three springs in parallel, with two of the springs having spring constant k and attached to two walls on either end, and the third spring of spring constant k placed between two equal masses m. The time period of oscillation is. Find the normal frequencies and normal modes the system. (a) Find the equivalent spring value ke, the sum of the four springs when the mass m oscillates (5 points). If the gravity acceleration is 10m/s?, what is the length in cm achieved if the three springs are used to connect the The spring constants of three springs connected to a mass M are shown in figure. 5 N m − 1 . An identical spring is connected in series and the same mass M is attached, as shown in figure 2, then time Int he three-mass coupled oscillator problem, we often see it stated that you have three masses, (they can be equal or not, but we'll assume they are equal here) connected by two springs and then another set of springs connecting the masses to the walls on the end. Both the blocks are released simultaneously. U e coordinates x1 and x2 to describe the positions of the two blocks, with x1=x2=0 when the system is in equilibrium. 3. If spring 1 is compressed by a small distance x, then time period of oscillation of block is (a) T = 2π √ M/k (b) T = 2 π √ M/2k (c) T = 2 π √2M/k (d) None of the above Question: Three springs and a mass are attached to a rigid, weightless bar AB as shown in the figure below. In order to calculate the Lagrangian, we need to first calculate the kinetic and potential energies: Lagrange's equations in generalized coordinates are: = 0 Question: Problem 2. The kinetic energy of each spring is given by: 1. A 160-gram object attaches at one end of a spring and the change in length of the spring is 4 cm. Verified by Toppr. They are attached to two identical springs initially unstretched. A particle of mass 'm' is attached to three identical springs A,B and C each of force constant 'K' as shown in figure. 3) Suppose the three springs are connected as shown below. (a) Two objects, A and B, each of mass m, are connected by springs on a frictionless horizontal air track as shown in Figure Q3. Connected to a mass (m) = 85kg. 5 x 10 N/m, ka = 6. L2 = 2 m k2 B ki k3 L = 1 m m T L3 = 3 m. (b) First assume that k >> κ VIDEO ANSWER: Two blocks A and B, each of mass m, are supported as shown by three springs of the same constant k. The linear arrangement of masses and springs rest on a frictionless table. Two identical masses M are hung between three identical springs. Middle spring connects two masses with spring constant of k = 3. A small block is connected to a massless rod, which in turns attached to a spring of force constnat (K = 2N /m) as shown in the fig. 20. Given k = 2. Jul 9, 2019 · Three springs are connected to a mass m as shown in figure, When mass oscillates, what is the effective spring Given `k=2Nm^(-1)` and m=80 gram. The ends of the arrangement are connected to fixed posts; see the figure. 3. 5 N m − 1. The three springs have the same spring constant k. Leftmost spring connects left mass to left wall with spring constant of k = 2. Blocks A and B have masses 1 kg and 2 kg, respectively. a. The masses are connected as shown to a dashpot of negligable mass. Three springs are connected to a mass and to fixed supports. The stiffness of springs are k1 = 100 N/m,k2 =200 N/m, and k3 =300 N/m. What is the frequency of this simple Consider the mass on a spring system in Figure P11. 2. The three springs have equal spring constants k In equilibrium, all three of the springs are at their respective natural lengths a. (a) Three springs are connected in series and parallel, as shown in figure. Four massless springs whose force constants are 2k,2k,k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). Q 3. What would be the better way to solve this? Question: vo block of mass m are connected with three springs of equal length and force constant k. The maximum elastic strain energy stored in the spring is (take g = 10 m / s 2): Science. Two springs are connected to a block of mass M placed on a frictonless surface as show below. IF the period of the configuration in (a) is 2 s, the period of the configuration in (b) is. Three beads of mass m, m, and 2m are constrained to slide along a frictionless, circular hoop. Explore how force applied to a spring results in compression or elongation, and how this relationship is linear. 25 m long light rods that are pinned at O, and the two springs, each of stiffness k 1. 2 π√2/31B. The two masses are connected with a third spring with a spring constant, k 1. There are 2 steps to solve this one. The spring constants of three springs connected to a mass M are shown in figure. The springs coupling mass 1 and 3 and mass 1 and 2 have spring constant k, and the spring coupling mass 2 and mass 3 has spring constant 2k. The spring constant of spring A is kA, and that of spring B is kB. Frequency of small oscillations of the block will be. (a) Find the general solution for both positions of the masses and discuss what are the normal modes of this system. The three masses are equal, and the two outer springs are identical. The masses are shown in the figure at their equilibrium positions, which are located at 120∘ Two springs are connected to a block of mass M placed on a frictionless surface as shown below. Consider three connected (coupled) springs of the same mass m as shown. A particle of mass ′ m ′ is attached to three identical springs A, B and C each of force constant ′ k ′ as shown in figure. Homework Equations [itex] T = 2 \pi \sqrt{\frac{m}{k}} [/itex] Engineering. The two small masses are each connected to the large mass and to each other by springs of length a and force constants k and k′, respectively. Two blocks each of mass m are connected with springs of force constant k. . If the mass M is displaced slightly in the horizontal direction, then the frequency of oscillation of the system is, Consider a mass m with a spring on either end, each attached to a wall. m1= m2= m3 = m constrained to move in a common circular pa They are connected by three identical springs of stiffness k1=2k , k2 = k3 = k as shown. [4 marks] (ii) Solve the above differential Step 1. The kinetic energy of each spring is given by: Ti=21m (x˙i2+y˙i2) The potential energy for a pair of springs is given by: Uij=21k [ (xi−xj)2+ (yi− Two mass points of equal mass m are connected to each other and to fixed points by three equal springs of force constant k, as shown in the diagram. The two springs are connected first and then the mass last so that all three are in a row. If the mass M is displaced slightly in the horizontal direction, then the frequency of oscillation of the system is, Two blocks of mass m 1 and m 2 (m 1 < m 2) are connected with an ideal spring on a smooth horizontal surface as shown in figure. Take ki = 8. 10 mmmmmmmm Three identical masses of mass m are connected by four identical springs of spring constant k between two rigid walls, as shown in the figure, and move without friction on a horizontal surface. Question. Suppose that we have two masses m1=1 kg,m2=2 kg connected by three springs. Q 4. Two identical springs with spring constant k k are connected to identical masses of mass M M, as shown in the figures above. 2 π√ m /3 K D. (a) Show that the normal frequencies of the system are 2k/m and (2+2)k/m. Three spring are connected to a mass m (= 100 g) as shown in figure. √ 2 s; 2 √ 2 s; 1 √ 2 s; 1 s Two springs with spring constant K 1 = 1500 N/m and K 2 = 3000 N/m are stretched by the same force. All three springs are identical. In that case Equation 17. You are given a mechanical system with three springs A,B, and C and two objects F and G each of mass M. B T = 2π√ 2m K. What is the frequency of this simple harmonic oscillator? There are 2 steps to solve this one. Find the time period of oscillations (neglecting gravity). Three springs and two equal masses (m) are connected/attached between two walls, as shown in the figure below. Mechanical Engineering. Each spring is massless and has spring constant k. In addition, particle A is connected by a spring to a fixed point P while B is connected by another spring to a fixed point Q. 2 π 1 6 M 5 k 2 π π M 6 k 2 π 1 5 M 6 k 2 π 1 6 k M Dec 15, 2016 · Parallel. If the particle of mass 'm' is pushed slightly against the spring 'A' and released the period of oscillations is. Three identical springs, each with the same spring constant k = 50 N/m, are used to connect the mass (m = 25 kg) to the ceiling. Each mass point has a positive charge +4, and they repel each other according to the Coulomb law. If both the springs have a spring constant k, the frequency of oscillation of block is. They collide perfectly inelastically. Mass m1 is connected to a wall by a spring with constant k1=1seckg, the two masses are connected by a spring with constant k2=1sec2kg, and the mass m2 is attached to a wall by a spring with constant k3=2sec2kg. Initially springs are relaxed. The first natural mode of oscillation occurs at a frequency of ω=0. 16 kg. A bar spring of length L and three springs are connected to mass m as shown. They are connected by three springs; the 2m bead is separated from each of the m beads via springs with spring constant k, whereas the identical masses m are separated via spring with spring coefficient k' = 3k. Time period of oscillation is. In lower segment/zone, two springs, each of constant k, are in parallel. Let us suppose, for example, that k1 = k2 = 1 and m1 = 3 and m2 = 2. Block A A is subjected to a force of magnitude P=P_m \sin \omega_f t P = P m Three particles ot the same mass. For example, a system consisting of two masses and three springs has two degrees of freedom. Determine the effective stiffness of the system. Two identical springs are connected to mass m as shown (k = spring constant). Spring constant (k) = 6043 N/m. The ratio of potential energy stored in spring will be The ratio of potential energy stored in spring will be Three identical springs, with the same spring constant k = 78 N/m, are used to connect the mass (m = 15 kg) to the ceiling. 2 π √ m k; 2 π √ m 4 k; 2 π √ m 2 k; 2 π √ 2 m k A massless spring with a force constant K = 40 N / m hangs vertically from the ceiling. Find the natural frequency of vibration of the system. (i) What is k in terms of q,a,and ε0? (ii) Find k if the separation goes to a/2 when the charges are ±q. When a mass M attached to a spring X, as shown in Figure 1, is displaced downwards and released it oscillates with time period T. 5 kg mass were suspended from the combination Question: Three particles of equal mass (m) are connected by two identical massless springs of stiffness constant (K) as shown in the figure NET 2012-DEC K K a00000 0000 ୪୪୪୪୪ m m If x1, 12 and x3 denote the horizontal displacement of the masses from their respective equilibrium positions the potential energy of the system is (b) {x{x} +x3 + x3 = x2(x3 + x;) (a) **{x} Jul 21, 2023 · Question 1 - Select One. (a) Write down the Lagrangian of the system, and find the Lagrange's equations of motion. The system is set up as follows: - The left end of spring A is connected to a wall (that doesn't move). 13P. 2 k g block is attached to the free end of the spring and held in such a position that the spring has its natural length and suddenly released. Problem 1: (0,21) A mass m is connected to three springs, as shown in the figure. A mass M is suspended from the bottom of the system which makes the system oscillate due to force exerted by the weight of the mass on the system. The springs between rigid walls and masses have spring constant of k, and the other two, springs among masses, have k' as shown in Figure 1 The masses vibrate along the line joining their centers without friction. Advanced Physics questions and answers. Physics questions and answers. Discover the phenomena of springs and Hooke's Law. Two identical blocks P and Q have mass ‘m’ each. The system is given an initial velocity 3 m s − 1 perpendicular to length of spring as shown in the figure. The deviations of the first, second and third particles from their equilibrium positions are x, y and z, respectively. Then choose the correct alternative: (Assume all surfaces are smooth) Algebra questions and answers. If mass m is displaced slightly then time period of oscillation is. For the next two problems, consider two blocks of mass m 1 and m 2 connected by springs to each other and to walls as shown below. The force opposes the motion. Acceleration due to gravity (g) = 10 m/s 2 Step 1. This means that there are two degrees of freedom for each spring. These are 1 √6 = 0. Nov 21, 2018 · A block is attached to the three springs as shown in figure. If n springs with respective constants k1, k2, ⋯, kn are connected in series and an external force F is applied, the force exerted on each one of the springs is the same. Solution. If the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. The dashpot exerts a force bv, where v is the relative velocity of its two ends. Point mass m is slightly displaced to compress A and released. Find the general form of x1 and x2, the positions of the 13. The red and blue springs are connected in series with the green spring connected in parallel. 1 2 π √ k M; 1 2 π √ k 2 M; 1 2 π √ 2 k M; 1 2 π √ M k Three particles of mass m connected to each other and to the walls with (light) springs as shown in the figure below and they oscillate in the horizontal direction. 69 m along the spring's axis. Jul 21, 2023 · Three springs of each force constant k are connected as shown figure. 9 2 5 k g are connected by four identical springs ) = ( 5 9 . 2 π√3 K / m С. 1. 20\% Part (a) The mass is displaced from equilibrium by A=0. Mass (m) = 160 gram = 0. The time period will be 2π times: View Solution. Transcribed image text: Two particles A, B, each of mass m, are connected by a spring with spring constant k and natural length l. Each spring constant is K 1 = K 2 = K 3 = 50 N / m . \$. Now, for the system, there is a spring (of constant 2k) in upper segment and a spring (of constant 2k) in lower segment. The correct option is D None of these. Uncover the concept of restorative force and how it counteracts applied force, keeping our spring in equilibrium. This means that there are wo degrees of freedom for each spring. If the mass is slightly displaced and released, the system will oscillate with time period ofA. A Draw the free body diagram for the mass m including all 3 spring forces and the load force Fload). The ratio of the period for the springs connected in parallel (Figure 1) to the period for the springs connected in the series (Figure 2) is 1/2 1 / 2. Jan 26, 2010 · In summary, the conversation discusses finding the time period of vibration for a body of mass m connected to three springs with spring constant k, at angles of 90 degrees and 135 degrees between two springs and 120 degrees between any two adjacent ones. We assume that the spring constants are all the same. Each spring has spring constant k and mass of block is M. 111 Consider the mass-on-a-spring system shown in the figure. What is the effective spring constant for the combination of the three springs? Click or tap here to enter text. и ki finan Ο Ο There are 2 steps to solve this one. Here’s the best way to solve it. (a) What is the effecitve spring constant of the combination of spring constant of the combination of springs? (b) When mass m oscillates, find time period of its vibration. Each spring will be deformed by an amount equal to 6. a)Find and show the differential equations Question: 4. At this moment, spring is in its natural length. If a mass m is attached to a given spring, its period of oscillation is T. When two massless springs following Hooke's Law, are connected via a thin, vertical rod as shown in the figure below, these are said to be connected in parallel. The displacement of the masses from their equilibrium positions are denoted by x 1 and x 2 . The masses are connected as shown to a dashpot of negligible mass. See Answer. A4 Consider a mass m connected to a network of massless springs shown in the figure below. 2 π√3 m /2 K Advanced Physics questions and answers. 1 Linear systems of masses and springs We are given two blocks, each of mass m, sitting on a frictionless horizontal surface. Find the period of oscillation. The block is displaced down slightly and left free. If the particle of mass \'m\' 1. 765 (s/m) 1/2. A spring-mass system (ka, m. Let x1 and x2 be the Question: Consider a system of two masses and three springs, as illustrated below. A T = 2π√ m K. Two of the springs have m т spring constants k, and the other has spring constant Two blocks A A and B B, each of mass m m, are supported as shown by three springs of the same constant k k. Set up the secular equation for the cigenfrequencies. The stiffness of the three springs are k1,k2, and k3 as shown. The masses are further connected to each other with a spring of spring constant k2. 9 is 6ω4 − 7ω2 + 1 = 0. Let k_1 and k_2 be the spring constants of the springs. ) Consider three beads of masses 2m, m, and m constrained to slide on a circular horizontal hoop. Neglect gravity. So that the springs are extended by the same amount Transcribed image text: Three spheres of equal mass m are constrained to move in one dimension along the line connecting their centers. m 000 a 00DUD a UUDIO 4 + + The equilibrium length of each spring is a. Fixed support k ww k k elle Rotating machine F(t) = 450cos60t m Figure 4. -5m (&? + y) (3. The springs all have zero equilibrium length, and k the other ends of the springs are fixed at the vertices of a triangle, as shown in the figure. The springs are shown in a relaxed position, and the angle θ in this position is π/3. Define k/m. If the particle of mass ′ m ′ is pushed sightly against the spring ′ A ′ and released. Suppose that at some instant the first mass is displaced a distance \(x\) to the right and the second mass is displaced a distance \(y \) to the right. A body of mass m is suspended from three springs as shown in figure. Block A is subjected to the force seen. Jun 12, 2024 · We are given a spring mass system, with one spring connected in series with a parallel combination of two other springs, their spring constant as shown in the figure. Three beads of mass m,m, and 2m are constrained to slide along a frictionless, circular hoop. Jun 23, 2015 · Two springs are joined and connected to a mass m such that they are all in a straight line. (13\%) Problem 3: A massless spring of spring constant k =6043 N/m is connected to a mass m= 85 kg at rest on a horizontal, frictionless surface. Each mass point is coupled to its two neighboring points by a spring. (m = π 2 k g; π 2 = 10; θ = 60 ∘; k 1 = 4 N / m; k 2 = 23 N / m) Mechanical Engineering questions and answers. The masses and their equilibrium positions, which are located at 120^ {\circ} 120∘ angular A rotating machine of mass m is connected to a fixed support via three springs of stiffness k, as shown in Figure 4. Springs A and C have spring constant k, and spring B has spring constant 2k. The force on the left mass is equal to F1=! "x1 +"1221 =!12 1+122M!x!1 The force on the right mass is equal to F2=!"x2+"12x1!x2 =!"+"12 x2+"12x1=M!x!2 The equations of motion are thus Oct 31, 2012 · Two particles, each of mass M, are hung between three identical springs. The stiffness of the three springs are k 1 , k 2 , and k 3 as shown. The assembly is released from rest in the position θ= 20° and rotates in the vertical plane. 6 x 10 N/m, and mass m = 25 kg. - The right end of spring A is connected to object F. The spring constant of the lateral springs is k, while the one in the middle is κ. Question: Q3. Figure XVII. Each spring of stiffness k can move in the (xy) plane. Show transcribed image text. Question: (6) Three identical spheres, each of mass m-3 kg, are connected to the 0. 04 m. Blocks A and B are connected by a dashpot. To solve for the motion of the masses using the normal formalism, equate forces. The common spring constant of the springs is k. Thus, x1 is the displacement of mass 1 from its own equilibrium position, x2 is the displacement of mass 2 from its own equilibrium position, and x3 is Three identical masses ) = ( 1 . When charged to q Coulombs each, the separation doubles. When mass oscillates, what are the effective spring constant and the time period of vibration? A. Transcribed image text: 3. The blocks are attached to three springs, and the outer springs are also attached to stationary walls, as shown in Figure 13. For the next two problems, consider two blocks of mass m1 and m2 connected by springs to each other and to walls as shown below. The two small masses are each connected to the large mass and to each other by springs of length a and force constants k and k', respectively. Block B is connected to the ground by two dashpots with the same coefficient of damping. m Ko Ko t m 園 XB Figure Q3 (i) Derive the differential equations that govern the motion of the two objects A and B. What is ground frame velocity of 2 k g block (in m s − 1) when spring regains its natural Consider a coupled mass spring system with three springs and two masses set up in the following manner: Left mass is 5 kg, right mass is 3 kg. At t = 0 m 1 is at rest and m 2 is given a velocity v towards right. 2 x 10 N/m, k3 = 12. (a) What is the effecitve spring constant of the combination of spring constant of the combination of springs? Question: Problem 3 Consider three connected springs of the same mass m as shown. (b) Find the equation of motion and the natural frequency when grasping the displacement x(t) with reference to the undeformed state of the spring (horizontal Two blocks each of mass m is connected to the spring of spring constant k as shown in the figure. Your tasks: k₂ m k3 Fload Figure 1: System schematic for Problem 1. ow lw ht wo qg wa wn ea je lm