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Spring mass system- constant acceleration or velocity

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A mass m is hanging from a spring, stiffness k, in an elevator. The elevator is at rest and the system is in equilibrium. Then the elevator starts to move. Calculate the amplitude and the phase of the oscillations of the spring for 2 situations:
a) the elevator moves suddenly and then has a constant velocity v.
b) the elevator accelerates smoothly with constant acceleration a.

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Solution Summary

The solution calculates the amplitude of the spring given either constant velocity or constant acceleration. The energy method is used to find these numbers.

Solution Preview

a) In this case, after the elevator moves in a constant velocity, the spring is in balance status, and it will oscillate around the ...

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