First slide

Simple hormonic motion

Question

A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O at time T/8 after passing through O is

Easy

A

a/8
B

$a / 2 \sqrt{2}$
C

a/2
D

$a / \sqrt{2}$

Solution

$x = A s i n ω t$ , $x = A \sin \frac{2 π}{T} \times \frac{T}{8}$ , $x = A \sin \frac{π}{4} = \frac{A}{\sqrt{2}}$

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