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Explain the geometrical interpretation of simple harmonic motion. Also find the maximum and minimum values of velocity and acceleration for a particle executing simple harmonic motion.

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Simple harmonic motion is

Linear simple harmonic motion.

Knowledge Check

  • In a simple harmonic motion

    A
    the maximum potential energy equals the maximum kinetic energy
    B
    the minimum potential energy equals the minimum kinetic energy
    C
    the minimum potential energy equals the maximum kinetic energy
    D
    the maximum potential energy equals the minimum kinetic energy.
  • In a simple harmonic motion

    A
    the potential energy is always equal to the kinetic energy
    B
    the potential energy of is never equal to the kinetic energy
    C
    the average potential energy in any time interval is equal to the average kinetic energy in that time interval
    D
    the average potential energy is one time period is equal to the averge energy is this period
  • In simple harmonic motion

    A
    Potential energy and kinetic energy may not be equal in mean position.
    B
    potential energy and kinetic energy may be equal in extreme position
    C
    potential energy may be zero at extreme position
    D
    kinetic energy plus potential energy oscillates simple harmonically.
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    The total energy of a particle executing simple harmonic motion is

    Derive an expression for instantaneous velocity and acceleration of a particle executing simple harmonic motion.

    The velocity of a particle executing simple harmonic motion is

    While a particle executes linear simple harmonic motion

    If a body is executing simple harmonic motion, then