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A particle executes SHM along a straight...

A particle executes SHM along a straight line so that its period is 12 s. The time it takes in traversing a distance equal to half its amplitude from its equilibrium position is

A

6 s

B

4 s

C

2 s

D

1 s

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the principles of Simple Harmonic Motion (SHM). ### Step 1: Understand the Problem The particle executes SHM with a given time period \( T = 12 \) seconds. We need to find the time it takes for the particle to travel a distance equal to half of its amplitude \( A \) from the equilibrium position. ### Step 2: Write the Equation of Motion The displacement \( x \) of a particle in SHM can be described by the equation: \[ ...
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