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c) equal to -1 at t = 0. With the parameter values defined in part b), compute and plot the approximate displacements of the object over the time interval [0, 10] using the Forward Euler algorithm. Take AT = 0.01. Suppose that the displacement of the object from the wall is 0.5 and its velocity is

c) equal to -1 at t = 0. With the parameter values defined in part b), compute and plot the approximate displacements of the object over the time interval [0, 10] using the Forward Euler algorithm. Take AT = 0.01. Suppose that the displacement of the object from the wall is 0.5 and its velocity is

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PART C

(a) k1,and k2 are the spring constants of the two springs. In addition, you are given that l1 and l2 are the equilibrium displacements at which spring 1, and spring 2 apply zero force, respectively. c is the damping coefficient for the damper. Find the equations of motion for the system, where m is the mass of the object, (b) Given that the parameters take the following values, m = 3, kı = 1, k2 = 2, l1 = 0.5, l2 = 1, c= 0.5, g = 9.8 what is the equilibrium configuration of the system? (c) equal to -1 at t = 0. With the parameter values defined in part b), compute and plot the approximate displacements of the object over the time interval [0, 10] using the Forward Euler algorithm. Take AT = 0.01. Suppose that the displacement of the object from the wall is 0.5 and its velocity is (d) spring from the cieling be xo = 0.1. Find a initial velocity for the mass, such that the system shows unphysical behavior, that is, behavior that you do not expect to observe in practice. Justify your claim that the solution is unphysical by plotting the solution over some time interval in Python. Let the initial position of the mass with respect to the point of attachment of the
Transcribed Image Text:(a) k1,and k2 are the spring constants of the two springs. In addition, you are given that l1 and l2 are the equilibrium displacements at which spring 1, and spring 2 apply zero force, respectively. c is the damping coefficient for the damper. Find the equations of motion for the system, where m is the mass of the object, (b) Given that the parameters take the following values, m = 3, kı = 1, k2 = 2, l1 = 0.5, l2 = 1, c= 0.5, g = 9.8 what is the equilibrium configuration of the system? (c) equal to -1 at t = 0. With the parameter values defined in part b), compute and plot the approximate displacements of the object over the time interval [0, 10] using the Forward Euler algorithm. Take AT = 0.01. Suppose that the displacement of the object from the wall is 0.5 and its velocity is (d) spring from the cieling be xo = 0.1. Find a initial velocity for the mass, such that the system shows unphysical behavior, that is, behavior that you do not expect to observe in practice. Justify your claim that the solution is unphysical by plotting the solution over some time interval in Python. Let the initial position of the mass with respect to the point of attachment of the
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