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Displacement versus time curve for a par...

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

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(i) Velocity of the particle is zero when slope of graph is zero, i.e. at points A, C, E and G (Extreme positions)
(ii) Speed will be maximum when the slope of graph is maximum i.e., at points B, D, F and H (Mean positions)
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Displacement versus time curve for a particle executing SHM is shown in figure. Identify the points marked at which (i) velocity of the oscillator is zero, (ii) speed of the oscillator is maximum.

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Knowledge Check

  • Displacement vs. time curve for a particle executing S.H.M. 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 oscillatore is same at `t=2s` and `t=6s`
    C
    Phase of the oscillator is same at `t=1s` and `t=7s`
    D
    Phase of the oscillatore is same at `t=1s` and `t=5s`
  • The displacment versus timecurves for a particle executing SHM is show in figure . Choose the correct statement (s)

    A
    Phases of the oscillator is same at `t=0 s` and `t=2 s`
    B
    Phases of the oscillator is same at `t=2 s` and `t=6 s`
    C
    Phases of the oscillator is same at `t=1 s` and `t=7 s`
    D
    Phases of the oscillator is same at `t=1 s` and `t=5 s`
  • The displacement time graph of a particle executing S.H.M. 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
    The velocity is maximum at `t=(T)/(4)`
    D
    The P.E. is equal to K.E. of oscillation at `t=(T)/(2)`
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