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Establish the mathematical expression for simple harmonic motion.

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Show that the equation x=Asin(omegat-alpha) is the mathematical representation of a simple harmonic motion. Find the time period and the maximum acceleration of the motion.

Show that the equation x=Acos(omegat-alpha) is a mathematical representation of simple harmonic motion. Find the time period and the maximum speed of the motion.

Knowledge Check

  • 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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