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The system that returns to equilibrium as quickly as possible without oscillating is

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Important Questions on Simple Harmonic Motion

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What is the maximum value of acceleration, when a body is vibrating with SHM of amplitude 15 cm and frequency 4 Hz?
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The velocity of a body while passing through the mean position is 10 m s-1. What will be the frequency of it, if it is executing SHM of amplitude 1 m ?
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A particle is oscillating according to the equation V(t)=4sin0.4πt metres. In how much time after the motion begins will that particle reach the extreme position from the mean position?
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Total energy of a particle of mass ' m ' executing SHM given by y = Asinωt for any displacement is:
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My friend has a Banjo clock. It has a pendulum. For every 1.0 sec the pendulum performs one full swing. If an object at the end of the string weighs 10.0 N, what is the length of the pendulum?
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Two simple pendulums of lengths in the ratio 4:1 start oscillating at t=0. They will again be in phase after the shorter pendulum has made n oscillations. Find the value of n.
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When a simple pendulum is moved from the Earth's surface to deep mine, the period of oscillation
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What is the time period of the pendulum in a lift, which is falling freely under gravity