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A particle executes simple harmonic moti...

A particle executes simple harmonic motion of a certain amplitude A. Calculate the distance from the mean position where the kinetic energy of particle is equal to its potential energy. Also, find the points where the speed of the particle is 1/3 of its maximum speed.

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To solve the problem step by step, we will break it down into two parts: 1. Finding the distance from the mean position where the kinetic energy is equal to the potential energy. 2. Finding the points where the speed of the particle is 1/3 of its maximum speed. ### Part 1: Kinetic Energy Equal to Potential Energy 1. **Understanding the Energies**: ...
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