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A Pendulum-and Spring System Mass m is on the end of a pendulum of length L and is also attached to a spring with constant
A Pendulum-and Spring System Mass m is on the end of a pendulum of length L and is also attached to a spring with constant k. Assume small oscillations of m so that the spring and the path of the mass remain essentially horizontal. The spring is subject to a light damping force Fa--bv, where v is the instantaneous velocity of the mass 1, L = 6.5cm k=18 N/m m = 0.7kg b=1.3 x(0) = 5.00m Parts 3-4 answer- 5. Your differential equation should now be nonlinear in x. Explain why. Now, assume that x is much smaller than L. This should allow vou to rewrite vour differential n x. 6. Assume that the mass is released from rest at the given initial position. Use Matlab to solve the DE. Make a graph of the solution function x(t). Find the quasi-frequency and quasi-period of oscillations of the mass A Pendulum-and Spring System Mass m is on the end of a pendulum of length L and is also attached to a spring with constant k. Assume small oscillations of m so that the spring and the path of the mass remain essentially horizontal. The spring is subject to a light damping force Fa--bv, where v is the instantaneous velocity of the mass 1, L = 6.5cm k=18 N/m m = 0.7kg b=1.3 x(0) = 5.00m Parts 3-4 answer- 5. Your differential equation should now be nonlinear in x. Explain why. Now, assume that x is much smaller than L. This should allow vou to rewrite vour differential n x. 6. Assume that the mass is released from rest at the given initial position. Use Matlab to solve the DE. Make a graph of the solution function x(t). Find the quasi-frequency and quasi-period of oscillations of the mass
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