Explore BrainMass
Share

Explore BrainMass

    difference between the tensions in the string

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

    A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are v_t and v_b, and the corresponding tensions in the string are T_t and T_b. T_t and T_b (vectors) have magnitudes T_t and T_b.

    Find T_b - T_t, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle.
    Express the difference in tension in terms of m and g. The quantities v_t and v_b should not appear in your final answer.

    © BrainMass Inc. brainmass.com October 9, 2019, 8:53 pm ad1c9bdddf
    https://brainmass.com/physics/energy/difference-between-tensions-string-165675

    Attachments

    Solution Preview

    A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. Assume that the ball travels freely in this vertical circle with negligible loss of total ...

    Solution Summary

    It calculates the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle. The solution is detailed and well presented.

    $2.19