Question

An object is attached to a spring; which is attached to a wall. Describe its motion. (max acceleration, max velocity).

Answer 1

In the above set of figures, a mass is attached to a spring and placed on a frictionless table. The other end of the spring is attached to the wall. The position of the mass, when the spring is neither stretched nor compressed, is marked as x=0 and is the equilibrium position. (a) The mass is displaced to a position x=A and released from rest. (b) The mass accelerates as it moves in the negative x-direction, reaching a maximum negative velocity at x=0. (c) The mass continues to move in the negative x-direction, slowing until it comes to a stop at x=−A. (d) The mass now begins to accelerate in the positive x-direction, reaching a positive maximum velocity at x=0. (e) The mass then continues to move in the positive direction until it stops at x=A. The mass continues in SHM that has an amplitude A and a period T. The object’s maximum speed occurs as it passes through equilibrium. The stiffer the spring is, the smaller the period T. The greater the mass of the object is, the greater the period T.

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