Question

Draw graphs of displacement, velocity
and acceleration against phase angle,
for a particle performing linear S.H.M.
from (a) the mean position (b) the
positive extreme position. Deduce your
conclusions from the graph.​

Answer 1

Explanation:

☝️Here is your answer

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

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