In Fig. 11-33, a solid cylinder of radius 12 cm and mass 11 kgstarts from rest and rolls without slipping a distance L = 7.3 mdown a roof that is inclined at angle ? = 35Â°. (a) What is theangular speed of the cylinder about its center as it leaves theroof? (b) The roof's edge is at height H = 5.4 m. How farhorizontally from the roof's edge does the cylinder hit the levelground?

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In the figure below, a solid cylinder of radius 12 cm and mass 8 kgstarts from rest and rolls without slipping a distance L = 6.0 mdown a roof that is inclined at angle ? = 30Â°.
(a) What is the angular speed of the cylinder about its center asit leaves the roof?
1 rad/s
(b) The roof's edge is at height H = 5.0 m. How far horizontallyfrom the roof's edge does the cylinder hit the level ground?
2 m

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A solid cylinder of mass 0.20kg and radius 1.00cm is releasedfromrest at the top of a 45 degree incline whose height is 1.00m.Itrolls without slipping to the bottom of the incline andcontinuesto roll without slipping on the horizontal surface withthe speedit reached at the bottom of the incline. The cylinderthenencounters another incline, this one making an angle of 30degreeswith the horizontal. It moves up the second inclinewithoutslipping.

Calculate the center of mass speed of the cylinder whenitreaches the bottom of the first incline.

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Once it rolls back down to the horizontal surface, what willbeits speed?

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