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 $$20$$ $$m/s2$$ at a distance of $$5$$ m from the mean position. The time period of oscillation is

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 $$20$$ $$m/s2$$ at a distance of $$5$$ m from the mean position. The time period of oscillation is

Infinity Learn · Accepted Answer

In case of SHM a→ $$=$$ $$-$$ω$$2y$$→Given a $$=$$ $$20$$ $$m/s2$$ at y $$=$$ $$5$$ mHence |a→| $$=$$ ω$$2$$|y→|$$20$$ $$=$$ ω$$2$$×$$5or$$ ω$$2$$ $$=$$ $$4$$  ⇒ ω $$=$$ $$2$$ $$rad/secBut$$ ω $$=$$ $$2$$$$π$$$$T2=$$ $$2$$$$π$$T    or T $$=$$ π $$sec$$

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

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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/s2 at a distance of 5 m from the mean position. The time period of oscillation is

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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