A stick with a mass of 0.213 kg and a length of 0.435 m rests in contact with a

Question

A stick with a mass of 0.213 kg and a length of 0.435 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 22.58 cm, and the angle ? the stick makes with the horizontal is 39?. 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. N

(b) Find the horizontal component of the force exerted on the stick by the floor. N

(c) Repeat part (b) for the upward component of the force. N

Explanation / Answer

taking moment about the floor and point of contact of rod
mgcos ()*L/2=N*(R/tan(/2)) (tan(/2)=R/d)

N=1.107N

horizontal==Nsin()=.629N

upward=mg-Ncos()=1.229N

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