Question

What is simple harmonic motion. Write down the expression for the velocity and acceleration of such motion at the different positions along its path

Answer 1

Simple harmonic motion is a special type of periodic motion or oscillation motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.

Velocity: $v(x) = {\omega}(A^2-x^2), \\$

Acceleration: $a(x) = -{\omega}^2x, \\$

where A is the amplitude and $\omega~$is the angular frequency of the oscillation.