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For a particle executing SHM, the total ...

For a particle executing SHM, the total energy is always _____

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Knowledge Check

  • For a particle executing S.H.M. the kinetic energy K as K = K_0 cos^2 omega t

    A
    The maximum KE is `K_0`
    B
    The maximum PE is `K_0`
    C
    The total mechanical energy is `2K_0`
    D
    The frequency with which KE varies is `2 omega`

  • For a particle executing S.H.M. the kinetic energy K is given K = K_0 cos^2 omega t . The equation of its displacement can be

    A
    `(K_0/(m omega^2))^(1/2) sin omega r`
    B
    `((2K_0)/(m omega^2))^(1/2) sin omega r`
    C
    `((2 omega^2)/(mK_0))^(1/2) sin omega t`
    D
    `((2 K_0)/(m omega^2))^(1/2) sin omega t`

  • If the mass of a particle executing SHM is m and its angular frequency is omega , then the force constant of that SHM will be

    A
    `momega`
    B
    `momega^(2)`
    C
    `sqrt(m/omega)`
    D
    `sqrt(omega/m)`

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    At t = 0, the amplitude is highest for a particle executing SHM. Find the equation of the oscillation.

    What should be the displacement of a particle executing SHM so that its KE is equal to its PE?

    The displacements of a particle executing SHM at three consecutive seconds are 6 cm, 10 cm and 6 cm respectively. Find out the frequency of oscillation of the particle.

    When a particle executing SHM reaches half of its amplitude, find ratio os its (i) velocity and maximum velocity, (ii) kinetic energy and maximum kinetic energy.

    If the mass of a particle executing SHM is m and its angular frequency is omega then the force constant of that SHM will be

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