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​A force of magnitude 50 N is applied at the bottom point of a disk of radius 5 m that is pinned at P (leftmost point) as shown in the figure.

8.

A force of magnitude 50 N is applied at the bottom point of a disk of radius 5 m that is pinned at P (leftmost point) as shown in the figure.

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(a) Find the angle between the force and the vector from P to Q. 

(b) Find the magnitude of the applied torque. 


9.

A torque wrench grips a bolt at the origin of coordinates, with the free end of the torque wrench located at the point (r0, 0, 0). The force on this end of the torque wrench points in the direction of V = (10, 0, 16). Note that * = (0, 0, 0) in this problem. Compute the length of the lever arm ||L||| needed to produce a torque with magnitude 240 ft-lb if the magnitude of the force is 120 pounds. 

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