A simple pendulum of length 1 m has mass 10 g and oscillates freely with amplitude of 5 cm. Calculate its pote

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Q. A simple pendulum of length 1 m has mass 10 g and oscillates freely with amplitude of 5 cm. Calculate its potential energy at extreme position.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2020Subjective· 3mImportance★★★★★

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At the extreme, all the total SHM energy (½mω²A²) is potential.

For the pendulum, $\omega = \sqrt{g/L} = \sqrt{9.8/1} = 3.13$ rad/s, so $\omega^2 = 9.8\ \text{s}^{-2}$ .

At the extreme position, the entire mechanical energy is potential:

$PE_{max} = \frac{1}{2}m\omega^2A^2 = \frac{1}{2}(0.01)(9.8)(0.05)^2$ …

Q.A simple pendulum of length 1 m has mass 10 g and oscillates freely with amplitude of 5 cm. Calculate its potential energy at extreme position.