Angular SHM

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Angular SHM: Overview

This topic covers concepts, such as Simple Pendulum, Angular Frequency of Simple Pendulum, Time Period and Frequency of Pendulum, Time Period for Relatively Large Angles, Time Period for Relatively Large Lengths, etc.

Important Questions on Angular SHM

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A pendulum clock be taken from the earth to a revolving artificial satellite it will:

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Time period of a pendulum in a freely falling lift is:

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Value of 'g' at the surface of moon is one sixth of that at the earth-surface then the time period of a pendulum at moon is how many times to that at earth:

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The length of a simple pendulum is increased then the time period will-

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Time period of simple pendulum inside the satellite orbiting earth is

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What will be the effect on the time period  Tof a pendulum using a copper wire, if it has been taken to a room where the temperature is higher by 30°C.

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Derivation of differentiat equation for simple pendulum :-

(i) In case of simple pendulum the restoring torque depends but time period doesn't depends is.

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Motion of simple pendulum is

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Time-period of simple pendulum is 

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In case of simple pendulum at small angular amplitude θ, the value of differential equation of simple pendulum is (when L=length of the pendulum)

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Two simple pendulums of length 1 m each, with bobs having masses 1 kg and 2 kg, are hanging from the celling of an elevator. The elevator starts moving vertically downwards with acceleration g10. Assuming g=10 m s-2, approximately what are the time periods of the two pendulums?

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If the steel bob of a simple pendulum is replaced by a wooden bob, then its time period will

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The period of oscillation of a simple pendulum of constant length at the surface of the earth is T. Its time period inside mine will be-

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How is the time period of simple pendulum vary with its amplitude?

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What is the time period of a second pendulum?
(Write the numerical value in terms of SI unit of time).

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A cabin is falling freely under gravity, what is the time period of a pendulum attached to its ceiling?

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The time period of a simple pendulum inside a stationary lift is 5 s. What will be the time period when the lift moves upwards with an acceleration g4?

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The length of a pendulum is decreased by 10. What will be the change in its frequency?

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If the length of a simple pendulum is increased by 25%, then what is the change in its time period?

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The time period of a simple pendulum depends on the