Answer to Question #86913 in Chemical Engineering for Edidiong Michael inyang

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.