First slide

Simple hormonic motion

Question

Maximum restoring force on the bob of a simple pendulum of mass 100 gm when its amplitude is 10⁰ is

Moderate

A

0.017 N
B

1.7 N
C

0.17 N
D

0.034 N

Solution

$\large {F_R}\, = \,mg\sin \theta$
$\large = \,mg\theta \left( {\because \sin \theta \simeq \theta } \right)$
$\large = \,\frac{{100}}{{1000}} \times 10 \times \frac{\pi }{{180}}$
$\large = \,\frac{{3.14}}{{180}} = \,0.017N$

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