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Displacement versus time curve for a par...

Displacement versus time curve for a particle executing SHM is shown in figure. Idendify the points marked at which (i) velocity of the oscillator is zero, (ii) speed of the oscillator is maximum.

Text Solution

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In displacement time graph of SHM, the crest and troughs represents maximum displacement and velocity of the oscillator is zero. Hence
(i) At points A, C, E and G velocity is zero.
(ii) At mean position speed is maximum.
Hence at points B, D, F and H speed is maximum.
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Knowledge Check

  • Displacement versus time curve for a particle executing SHM is shown in figure. Choose the correct statements.

    A
    Phase of the oscillator is same at `t= 0s` and `t= 2s`.
    B
    Phase of the oscillator is same at `t= 2s` and `t= 6s`.
    C
    Phase of the oscillator is same at `t= 1s` and `t= 7s`.
    D
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  • The displacement time graph of a particle executing SHM is shown in figure. Which of the following statement is/are true?

    A
    The force is zero at `t= (3T)/(4)`
    B
    The acceleration is maximum at `t= (4T)/(4)`
    C
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    D
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  • What is the maximum speed of a particle executing SHM with amplitude of 3 cm and periodic time 6s ?

    A
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    B
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