Question

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is $20 \, m/s^{-2}$ at a distance of $5 \,m$ from the mean position. The time period of oscillation is

• A. 1 s
• B. 2 $\pi$ s
• C. 2s
• D. $\pi s$

Answer 1

Answer: (D)

$\pi s$

Answer 2

$\left|a\right| = \omega^{2}y$
$\Rightarrow 20 = \omega^{2} \left(5\right)$
$\Rightarrow \omega = 2 \frac{rad}{s}$
$T = \frac{2 \pi}{\omega} = \frac{2 \pi}{2} = \pi s$