First slide

Applications of SHM

Question

A simple pendulum with a bob of mass ‘m’ oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is ‘g’, then the velocity of the bob as it passes through B is

Moderate

A

$mgH$
B

$\sqrt{2 gH}$
C

$2 gH$
D

Zero

Solution

At B, the velocity is maximum using conservation of mechanical energy
$ΔPE = ΔKE \Rightarrow mgH = \frac{1}{2} {mv}^{2} \Rightarrow v = \sqrt{2 gH}$

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