A cylinder of mass 10 kg and radius 5 cm rolls from rest without slipping a distance L down a roof sloped at an angle of theta = 37 degrees, as shown.
Part a. Find the angular speed of the cylinder about its center just as it leaves the roof. Assume that d = 8m.
Part b. Find the horizontal distance (noted as displacement x in the diagram) from the roof edge where the cylinder hits the ground, if the height H of the roof edge is 5.7 m. Assume that as it leaves the roof the angular speed of the cylinder about its center is 14 pi rads/s approx 44 rads/s. (Hint: what does that mean its linear velocity is?)
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