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1. An object-spring system moving with simple harmonic motion (SHM) has an amplitude A. (a) What...

1. An object-spring system moving with simple harmonic motion (SHM) has an amplitude A.

(a) What is the total energy of the system in terms of k and A only?

(b) Suppose at a certain instant the kinetic energy is twice the elastic potential energy, KE = 2PE. Re-write this equation by using only the variables for the mass, m, velocity, v, spring constant, k, and position, x.

(c) Using the results of (a) and (b) and conservation of energy, find the values of x, the positions of the object, when its kinetic energy equals twice the potential energy stored in the spring. Your answer must be in terms of A only. (i.e. A is the only variable that can appear in your answer.)

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