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Application of force not acting through center of mass.

  1. Oct 7, 2012 #1
    Hello PF!

    I've got a lab on rigid body motion tomorrow, and I need help completing one of the prep questions:

    A rigid body is acted on by a force F through its center of mass, and also experiences a torque caused by a similar force F at radius R. At time t, what are the linear and angular velocities of the rigid body? Show that they follow the relationship:

    v = [itex]\frac{1}{2}[/itex] ω R

    I understand that there is a translational as well as a rotational component to the F applied at radius R, but I'm not sure how to combine them.

    I'm also unclear on whether the radius R is the radius of the body, or just the radius at which the second force is applied. But there was a previous question where R was defined as the radius of a uniform disc, so I'm leaning towards the former.

  2. jcsd
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