Question

A particle performing linear SHM starting from mean position. plot a graph of displacement , velocity and acceleration against time.​

Answer 1

Explanation:

We know, simple harmonic motion is a sinusoidal wave . equation of S.H.M is given by

where x is the displacement of particle , A is the amplitude , is the angular velocity of particle .

graph of as shown in figure.

now differentiate displacement, x with respect to time.

here v denotes velocity of particle performing S.H.M from mean position.

see figure, it shows the graph of velocity.

now ,differentiate velocity with respect to time .

, here a denotes the acceleration of the particle performing S.H.M

see figure, it shows the graph of acceleration.