Zero Torque and static equilibrium

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SUMMARY

The discussion focuses on solving a static equilibrium problem involving a stick and a bowling ball. The stick, with a mass of 0.206 kg and a length of 0.450 m, is positioned at a 30° angle to the horizontal while resting on a rough floor and in contact with the bowling ball, which has a diameter of 21.1 cm. Key calculations include determining the force exerted on the stick by the bowling ball, the horizontal component of the force from the floor, and the upward component of that force. The solution requires applying the principles of static equilibrium, specifically ensuring that the sum of forces and torques equals zero.

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A stick with a mass of 0.206 kg and a length of 0.450 m rests in contact with a bowling ball and a rough floor, as shown in the figure below. The bowling ball has a diameter of 21.1 cm, and the angle the stick makes with the horizontal is 30°. You may assume there is no friction between the stick and the bowling ball, though friction with the floor must be taken into account.
(a) Find the magnitude of the force exerted on the stick by the bowling ball.
(b) Find the horizontal component of the force exerted on the stick by the floor.
(c) Repeat part (b) for the upward component of the force.

I had absolutely no idea how to get started on this problem.
 
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Draw a force body diagram. The stick is just sitting there so the sum of the forces in each direction must be zero and the sum of the torques must be zero.
 

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