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meriadoc
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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.
Thanks!
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.
Thanks!