First slide

Applications of SHM

Question

Tangential acceleration on a bob of a simple pendulum of mass 100 grams when its amplitude is $2^{0}$ is

Moderate

A

$0.017 m / s e c^{2}$
B

$1.7 m / s e c^{2}$
C

$0.348 m / s e c^{2}$
D

$0.034 m / s e c^{2}$

Solution

${tangential acceleration =a}_{T} =gsinθ$
$a_{T} =gθ since (sinθ ≃ θ)$
$a_{T} = 10× \frac{2π}{180} ({θ=2}^{o} = \frac{2π}{180} rad)$
$a_{T} = \frac{2 \times 3.14}{18} {=0.348 m/sec}^{2}$

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