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A solid cylinder of radius 9.7 cm and mass 16 kg starts from rest and rolls without slipping a distance L = 7.9 m down

A solid cylinder of radius 9.7 cm and mass 16 kg starts from rest and rolls without slipping a distance L = 7.9 m down a roof that is inclined at angle = 31°.

(a) What is the angular speed of the cylinder about its center as it leaves the roof?

(b) The roof's edge is at height H = 4.8 m. How far horizontally from the roof's edge does the cylinder hit the level ground?

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