A particle executing S.H.M. is passing through the mean position with a velocity of 40 m/s.(a) Calculate the maximum displacement of the particle from mean position if particle completes 1000 oscillations per minute. (b) obtain the displacement equation of the particle.

Explanation

To solve the problem step by step, we will break it down into two parts as per the question.

### Part (a): Calculate the maximum displacement of the particle from the mean position.

1. **Identify the given values**:
- Velocity at mean position, \( v = 40 \, \text{m/s} \)
- Number of oscillations per minute, \( n = 1000 \, \text{oscillations/min} \)

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