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In: Physics

For each of the situations below, write three different equations for x(t) that all describe the...

For each of the situations below, write three different equations for x(t) that all describe the same motion. One of your three equations must use sine, one of your three equations must use cosine, and at least one must use a non-zero phase shift (ϕ), whose value you should specify.

  1. A mass-spring system of angular frequency ω is stretched to x=+A and released. The time is started so that t=0 is when the mass passes through the equilibrium position at x=0 the first time.
  2. A mass-spring system of angular frequency ω is compressed to x=-A and released. The time is started so that t=0 is when the mass is released from its compressed position.

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