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A particle executes shm with a period 8 ...

A particle executes shm with a period 8 s. Find the time in which half the total energy is potential.

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To solve the problem, we need to find the time at which the potential energy of a particle executing simple harmonic motion (SHM) is half of its total energy. Let's go through the solution step by step. ### Step 1: Understand the total energy in SHM The total energy \( E \) of a particle in SHM is given by the formula: \[ E = \frac{1}{2} k A^2 \] where \( k \) is the spring constant and \( A \) is the amplitude of the motion. ...
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