Explore BrainMass

Explore BrainMass

    Block sliding without friction in a rotating arm.

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

    A 1.2-lb block B slides without friction inside a slot cut in arm OA which rotates in a vertical plane at a constant rate, theta = 2 rad/s. At the instant when theta = 30 degrees, r = 2 ft and the force exerted on the block by the arm is zero. Determine, at this instant, (a) the relative velocity of the block with respect to the arm, (b) the relative acceleration of the block with respect to the arm.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:19 pm ad1c9bdddf
    https://brainmass.com/physics/relative-velocity/block-sliding-without-friction-rotating-arm-13246

    Attachments

    Solution Preview

    a) Along the theta direction:

    F = m*(dw/dt + 2*vr*w)

    where, w = angular velocity of the arm = 2 rad/s

    Because no force is acting on the block, this force will be balanced by a component of gravity ...

    Solution Summary

    We solve (a) by first finding the component of gravity perpendicular to the arm. We solve (b) by finding the relative acceleration of the block with respect to arm in radial direction.

    $2.19

    ADVERTISEMENT