Question

If the particle repeats its motion after a fixed time interval of 8 s then after how much time its maximum value

Answer 1

After 4 seconds maximum value

Answer 2

Answer:

The maximum value will be at 4 sec.

Explanation:

Simple harmonic motion :

Simple harmonic motion is the periodic motion where the restoring force is directly proportional to the displacement.

The restoring force is the opposite direction of the displacement.

In mathematical terms,

$F\propto(-x)$

$F=-kx$

Where, k= restoring constant

F = restoring force

x = displacement

The general equation of the simple harmonic motion

$x=A\sin\omega t$

where, x = displacement

A = amplitude  

Amplitude :

Amplitude is the maximum displacement from the equilibrium position.

Therefore,

If the particle repeats its motion after a fixed time interval of 8 s.

Hence, The maximum value will be at 4 sec.