Question

A block of mass 5m is attached horizontally to an ideal spring with spring constant is equal to k’. The block and spring are resting on a horizontal, flat, and frictionless table.

At t = 0, the block is at x = +d/3 and the block is slowing down. The full-range amplitude of the oscillation of the block is equal to 6d. Assume you know: k’, m, d

Answer the following questions about the motion of the block and the forces acting on it:

If you drew a free-body diagram for t = 0, and were labeling all forces, including a sign convention, which direction (towards positive or towards negative x) would the horizontal force on the block be pointing? (1 point)

If you drew a motion diagram for the block at t = 0, which direction would the block be traveling, and which direction would the acceleration vector be pointing? (1 point)

Determine the period of oscillation of the system. (Your answer will be symbolic) (3 points)

Determine the phase shift (also known as the phase constant) of the system. (You can express your answer symbolically) (3 points)

Determine the equation of position with respect to time for this system. (4 points)

Answer 1