A solid cylinder of mass 0.20 kg and radius 1.00cm is released from rest at the top of a 45 degree incline whose height is 1.00m. It rolls without slipping to the bottom of the incline and continues to roll without slipping on the horizontal surface by the speed it reached at the bottom of the incline. The cylinder then encounters another incline, this one making an angle of 30 degrees by the horizontal. It moves up the second incline without slipping.
Compute the center of mass speed of the cylinder when it reaches the bottom of the first incline.
Discover the distance along the second incline that the cylinder will travel before it rolls back down.
Once it rolls back down to the horizontal surface, what will be its speed?
If it continues to roll back to the first incline with this speed and then rolls back up on the first incline, all without slipping, what distance will it travel along the first incline?
How long will it take the cylinder to reach the bottom of the first incline starting from when it is at its highest distance up the incline?