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The equation of a particle executing SHM...

The equation of a particle executing `SHM` is `x = (5m)[(pis^(-1))t + (pi)/(6)]`. Write down the amplitude, initial phase constant, time period and maximum speed.

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The correct Answer is:
Amplitude `= 5 m`, phase constant `= (pi)/(6)`, tome period `= 2 s`, maximum speed `= 5pi m//s`
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Knowledge Check

  • The phase of a particle executing S.H.M is pi//2 when it has

    A
    maximum displacement
    B
    maximum velocity
    C
    maximum energy
    D
    none of the above
  • The phase of a particle in S.H.M. is pi//2 , then :

    A
    Its velocity will be maximum
    B
    Its acceleration will be minimum
    C
    Restoring force on it will be minimum.
    D
    Its displacement will be maximum.
  • The motion of a particle executing S.H.M. is given by x = 5sin200 pi (t + 1) where x is in metres and time is in seconds. The time period is

    A
    0.01 sec.
    B
    0.04 sec.
    C
    0.2 sec.
    D
    1 sec.
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