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| Expression for Period in SHM |
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| The angular velocity of the body moving in a circle is |
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| When the body completes one revolution,
q = 360o or 2p
radians and the time taken by the body is called the period T. In this time, the body executing SHM will have completed one oscillation and therefore T is also the period of SHM. |
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| Multiplying equation |
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 by m , the mass of the particle |
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| According to Newton's 2nd law of motion |
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| But for a particle in SHM, |
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| F = -Ky according to equation - - - - (1) |
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| Substituting for w in equation (2.48), we get |
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| Thus, the period in SHM depends on two factors |
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 The mass of the oscillating particle |
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 The force constant of the spring (or any other agency) which supplies the restoring force. |
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| The above equation tells us that period
is independent of the amplitude. Such a motion is said to be isochronous. |
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