Explore BrainMass

Explore BrainMass

    Simple harmonic motion of a mass on a spring

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    On a frictionless table, a spring whose force constant is 60 nt/m has one end fixed and the other attached to mass M= 3.9 kg. A cord connects mass M to a suspended rock whose mass is m= 3.2 kg. Assume an x axis origin at the movable end of the spring when the spring contains no potential energy. At some instant, with the system stationary, the cord is cut and mass M begins simple harmonic motion.
    See ATTACHMENT #1 for a diagram showing parameters.
    Find the x coordinate and the velocity of the movable end of the spring exactly .60 sec after the cord is cut.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:16 pm ad1c9bdddf
    https://brainmass.com/physics/equilibrium/simple-harmonic-motion-mass-spring-11148

    Attachments

    Solution Preview

    Solution/explanation
    Step 1.
    Note: In the original equilibrium the force exerted on the end of the spring is equal to the weight of the rock. The relation between F, the force exerted on a spring and x, the distance from the x origin at its unstressed end, is expressed by:
    (1) F = k x
    Step 2. Since F = m g, the weight of the rock, and k is given, you should ...

    Solution Summary

    A simple harmonic motion of a mass on a spring is examined. The velocity of the movable end of the spring exactly .60 sec after the cord is cut is computed.

    $2.19

    ADVERTISEMENT