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Question

While a particle executes linear simple harmonic motion


Your Answer
A
its linear velocity and acceleration pass through their maximum and minimum magnitude once in each oscillation.
Correct Answer
B
 its linear velocity and acceleration pass through their maximum and minimum magnitude twice in each oscillation.
Your Answer
C
 its linear velocity and acceleration pass through their maximum and minimum magnitude four times in each oscillation.
Your Answer
D
 its linear velocity and acceleration always attain their peak magnitude simultaneously.

Solution

The correct option is B  its linear velocity and acceleration pass through their maximum and minimum magnitude twice in each oscillation.
The velocity is minimum (zero) at the extreme position and maximum (±ωA) at the mean position.

The acceleration is maximum (±ω2A) at the extreme positions and minimum (zero) at the mean position. Since the particle crosses the mean and extreme positions twice, during each oscillation, hence, correct option is b.

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