First slide

Simple harmonic motion

Question

In an SHM, during the journey of the particle from mean position to extreme position, what is the average acceleration on the particle (Amplitude = A, angular frequency = $ω$ )?

Moderate

A

$\frac{2 A ω^{2}}{3 π}$
B

$\frac{2 A ω^{2}}{π}$
C

$2 A ω^{2}$
D

$\frac{A ω^{2}}{π}$

Solution

$a_{a v g} = \frac{m a g n i t u d e o f c h a n g e i n v e l o c i t y}{t i m e} = |\frac{0 - A ω}{\frac{T}{4}}| = \frac{4 A ω}{T} = \frac{2 A ω^{2}}{π}$

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