Explore BrainMass

Explore BrainMass

    Equilibrium with Torques on a Cylinder on an Inclined Plane

    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 unifom cylinder, mass M= 15 kg, rests on a plane inclined at angle b=30°, held stationary by a cord attached to the plane at angle a= 50° which applies tangential force C to the cylinder. A mass m= 5 kg is suspended on a cable which is wrapped on the surface of the cyiinder. The radius R is unknown.
    See the attachment for a diagram with all knowns.
    a. Find the force C in the cord.
    b. Find the friction force at the cylinder/plane contact.

    © BrainMass Inc. brainmass.com May 24, 2023, 12:54 pm ad1c9bdddf


    Solution Preview

    Equilibrium requires that 'net torque=0' about any axis chosen. Before making your choice of axis location, you need to show as arrows on the diagram, all existing forces on the cylinder, including components of Mg parallel and perpendicular to the plane, mg, C, normal force N, and friction force F.
    Then, since F is unknown, use the fact that if the axis is chosen on the line of action of any force, then that ...

    Solution Summary

    The equilibrium with torques on a cylinder on an inclined plane are examined. The friction force at the cylinder and plane contacts are given.