First slide

Simple harmonic motion

Question

Two particles P and Q start from origin and execute Simple Harmonic Motion along X-axis with same amplitude but with periods 3 seconds and 6 seconds respectively. The ratio of the velocities of P and Q when they meet is

Easy

A

1 : 2
B

2 : 1
C

2 : 3
D

3 : 2

Solution

The particles will meet at the mean position when P completes one oscillation and Q completes half an oscillation
So $\frac{v_{P}}{v_{Q}} = \frac{{aω}_{P}}{{aω}_{Q}} = \frac{T_{Q}}{T_{P}} = \frac{6}{3} = \frac{2}{1}$

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