Explore BrainMass

Explore BrainMass

    Mechanical displacement - Steel ball problem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    A steel ball weighing 128 pounds (mass= 4 slugs) is suspended from a spring. This stretches the spring 128/485 feet.

    The ball is started in motion from the equilibrium position with a downward velocity of 9 feet per second.
    The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second) .

    Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that this means that the positive direction for y is down.)

    Take as the gravitational acceleration 32 feet per second per second.

    When using English units (lb, ft, etc.) you need to be a bit careful with equations involving mass. Pounds (lb) is a unit of force, not mass. Using mg=F and g=32 ft/sec^2 we see that if an object weights L pounds it will have a mass of L/32 lb*sec^2/ft (or slugs).

    © BrainMass Inc. brainmass.com November 24, 2022, 11:53 am ad1c9bdddf

    Solution Summary

    This is an example of a problem regarding mechanical displacement of a steel ball. The answer is attached in two JPG files, where the Expert has written their response using step by step calculations and diagrams to aid understanding of the problem.