Compound Pendulum
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What Is Compound Pendulum?
Compound pendulum: Compound pendulum is a rigid body of arbitrary shape suspended from a horizontal axis and free to oscillate in a vertical plane about the horizontal axis under the…
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Obtain The Equation Of Motion And The Time Period Of The Compound Pendulum.
Equation of motion of compound pendulum: Let us consider a compound pendulum is suspended in a vertical plane, from a horizontal axis through the point O as shown in the…
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Find The Length Of The Equivalent Simple Pendulum.
Equivalent simple pendulum: We know that the time period of oscillation of a compound pendulum is [ To know the derivation of this equation (CLICK HERE) ] where, is the…
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Show That The Length Of A Simple Pendulum Equivalent To The Compound Pendulum Is L=I/Ml.
Equivalent simple pendulum: We know that the time period of oscillation of a compound pendulum is [ To know the derivation of this equation (CLICK HERE) ] where, is the…
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Define Centre Of Suspension And Centre Of Oscillation.
Centre of suspension: Centre of suspension of a compound pendulum is a point where the vertical plane in which the compound pendulum oscillates, meets the horizontal axis of rotation of…
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Show That The Centre Of Suspension And Centre Of Oscillation Are Reversible.
The centre of suspension and oscillation are reversible: In Fig. 1, the point O is called the centre of suspension, where the horizontal axis of rotation of the compound pendulum…
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Find The Condition For Minimum Time Period Of Oscillation Of Compound Pendulum, Find The Minimum Time Period.
Condition for minimum time period of compound pendulum: Let us consider a compound pendulum is suspended in a vertical plane from the horizontal axis through the point O and be…
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Show That A Uniform Rod Of Length ‘l’ Hanging As A Compound Pendulum From A Pivot At One End Has Same Frequency For Small Oscillation As A Simple Pendulum Of Length (2l/3).
Ans. The time period of the simple pendulum equivalent to a compound pendulum is given by, [ to know the derivation of the above equation (CLICK HERE) ] or, where,…