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The equation of motion of a body executi...

The equation of motion of a body executing S.H.M. is ` x= acos . (pi)/(3) ( t +1)`. Find the time at which the body comes to rest for first time.

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Knowledge Check

  • The equation of motion of a body is S.H.M. is x=4 sin(pit+pi/3) . The velocity at the end of 4 seconds will be

    A
    `pi` cm/s
    B
    `pi/2` cm/s
    C
    `3/2` cm/s
    D
    `2pi` cm/s

  • The equation of motion of a body in S.H.M. is x=4 sin(pit+pi/3) . The acceleration, in cm//S62 , at the end of 4 s will be

    A
    `3/2pi^2`
    B
    `2/3pi^2`
    C
    `-(sqrt2)/3pi^2`
    D
    `-2sqrt3pi^2`

  • If S=6t^(2)-t^(3) , then the body comes to rest after time t=

    A
    2 sec
    B
    3 sec
    C
    4 sec
    D
    8 sec

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