5. A solid cylinder and a solid sphere, both have the same mass of 2 kg and radius of 0.1 m are released from the top of an inclined plane of length of 5m, at the same time (see figure below). The angle of incline is 60°. Cylinder Sphere All mass M a) Find the velocity of the center of mass upon reaching the bottom of the inclined plane for both objects? b) Find the angular velocity for both objects about the center of mass of upon reaching the bottom of the inclined plane? c) Is there ever a scenario when both the cylinder and sphere reach the bottom of the inclined plane at the same time? If so, explain your answer.

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5. A solid cylinder and a solid sphere, both have the same mass of 2 kg and radius
of 0.1 m are released from the top of an inclined plane of length of 5m, at the same
time (see figure below). The angle of incline is 60°.
Cylinder
Sphere
All mass M
a) Find the velocity of the center of mass upon reaching the bottom of the inclined
plane for both objects?
b) Find the angular velocity for both objects about the center of mass of upon
reaching the bottom of the inclined plane?
c) Is there ever a scenario when both the cylinder and sphere reach the bottom of the
inclined plane at the same time? If so, explain your answer.
Transcribed Image Text:5. A solid cylinder and a solid sphere, both have the same mass of 2 kg and radius of 0.1 m are released from the top of an inclined plane of length of 5m, at the same time (see figure below). The angle of incline is 60°. Cylinder Sphere All mass M a) Find the velocity of the center of mass upon reaching the bottom of the inclined plane for both objects? b) Find the angular velocity for both objects about the center of mass of upon reaching the bottom of the inclined plane? c) Is there ever a scenario when both the cylinder and sphere reach the bottom of the inclined plane at the same time? If so, explain your answer.
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