Question

9. (20 points) Three forces are applied to a wheel of radius 0.350 m, as shown in the figure below. One force is perpendicular to the rim, one is tangent

to it, and the other makes a 40.0° angle with the radius. a) What is the net torque on the wheel due to these three forces for an axis perpendicular to the wheel and passing through its center? b) If the wheel is a uniform disk and has a total mass of 5kg, what is the angular acceleration the wheel experiences due to these forces? Assume the wheel spins without friction.

Fig: 1

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Fig: 4