Physics

Physics

Problem

## Questions 3-4 ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/5297d497b818/2025_11_20_a8e88cb40012d192d3dfg-06.jpg) A sphere of mass M , radius r , and rotational inertia I is released from rest at the top of an inclined plane of height hh as shown above. 4. If the plane has friction so that the sphere rolls without slipping, what is the speed vcmv_{c m} of the center of mass at the bottom of the incline? (A) 2gh\sqrt{2 g h} (B) 2MghI\frac{2 M g h}{I} (C) 2Mghr2I\frac{2 M g h r^{2}}{I} (D) 2Mghr2I\sqrt{\frac{2 M g h r^{2}}{I}} (E) 2Mghr2I+Mr2\sqrt{\frac{2 M g h r^{2}}{I+M r^{2}}}

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