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13. Rotational Inertia & Energy

Rotational Dynamics of Rolling Motion

13. Rotational Inertia & Energy

Rotational Dynamics of Rolling Motion

Multiple Choice
A hollow sphere 10 kg in mass and 2 m in radius rolls without slipping along a horizontal surface with 20 m/s. It then reaches an inclined plane that makes 37° with the horizontal, as shown. If it rolls up the incline without slipping, how long will it take to reach its maximum height? (Hint:You will need to first calculate its acceleration)
Multiple Choice
A hollow sphere of mass $15 g$ and radius of $4.0 cm$ rolls without slipping down a $30 cm$ high ramp angled at 20° above the horizontal. What is the speed of sphere when it reaches the bottom of the ramp? Ignore air resistance.
Open Question
A 2.20-kg hoop 1.20 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 2.60 rad/s. (c) Find the velocity vector of each of the following points, as viewed by a person at rest on the ground: (i) the highest point on the hoop; (ii) the lowest point on the hoop; (iii) a point on the right side of the hoop, midway between the top and the bottom.
Open Question
A hollow cylinder (hoop) is rolling on a horizontal surface at speed v = 3.0 m/s when it reaches an 18° incline.
(b) How long will it be on the incline before it arrives back at the bottom?