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A solid ball of mass m and radius r is rolling without slipping on a flat horizontal surface, at an initial angular velocity w1. It hits a small bump of height h. What is the angular velocity of the ball immediately after impact? Also, what is the minimum initial angular velocity w1 so that the ball just makes it over the bump? What is the minimum initial speed of the ball? Assume that the ball pivots about the tip of the bump during, and after impact.

A solid ball of mass m and radius r is rolling without slipping on a flat horizontal surface, at an initial angular velocity w1. It hits a small bump of height h. What is the angular velocity of the ball immediately after impact? Also, what is the minimum initial angular velocity w1 so that the ball just makes it over the bump? What is the minimum initial speed of the ball?

Assume that the ball pivots about the tip of the bump during, and after impact.

Grade:12

1 Answers

Nirmal Singh.
askIITians Faculty 44 Points
7 years ago

201-2179_201-1804_Untitled (3).png
min. initial velocity v =w1/R
Thanks & Regards
Nirmal SIngh
Askiitians Faculty

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