A stick with a mass of 0.234 {\rm kg} and a length of 0.436 {\rm m} rests in contact with a bowling ball and a rough floor, as shown in the figure ....

A stick with a mass of 0.234 {rm kg} and a length of 0.436 {rm m} rests in contact with a bowling ball and a rough floor, as shown in the figure . The bowling ball has a diameter of 20.6 {rm cm}, and the angle the stick makes with the horizontal is 30.0 {rm ^circ}. You may assume there is no friction between the stick and the bowling ball, though friction with the floor must be taken into account. Find the magnitude of the force exerted on the stick by the bowling ball.