First slide

Simple hormonic motion

Question

A small mas.s executes linear simple harmonic motion about a point O with amplitude a and period T. Its displacement from O at time T/8 after passing through O is:

Easy

A

$\frac{a}{8}$
B

$\frac{a}{2 \sqrt{2}}$
C

$\frac{a}{2}$
D

$\frac{a}{\sqrt{2}}$

Solution

$By x = a \sin ωt we have At t = \frac{T}{8}, x = a \sin (\frac{2 π}{T} \times \frac{T}{8}) = \frac{a}{\sqrt{2}}$

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