Chapter 8.5, Problem 4AYU

True or False If the distance $d$ of an object from its rest position at time $t$ is given by a sinusoidal graph, the motion of the object is simple harmonic motion.

To determine

To find: Whether the statement is true or false: If the distance $\text{d}$ of an object from its rest position at time $\text{t}$ is given by a sinusoidal graph, the motion of the object is simple harmonic motion.

Answer to Problem 4AYU

Solution:

True.

Explanation of Solution

Given:

If the distance $\text{d}$ of an object from its rest position at time $\text{t}$ is given by a sinusoidal graph, the motion of the object is simple harmonic motion.

Calculation:

The statement, If the distance $\text{d}$ of an object from its rest position at time $\text{t}$ is given by a sinusoidal graph, the motion of the object is simple harmonic motion is true.