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A sphere, a cylinder, and a hoop (each of radius R and mass M) start from rest and roll down the same incline. (a) Which object gets to the bottom first? (b) Does your answer depend on the mass or radius of the objects? Explain

A sphere, a cylinder, and a hoop (each of radius R and mass M) start from rest and roll down the same incline. (a) Which object gets to the bottom first? (b) Does your answer depend on the mass or radius of the objects? Explain

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
(a)
The linear acceleration of the body rolling down the inclined plane can be written using Newton’s second law of motion as:

232-2076_1.PNG
The frictional force is also responsible for rotating the body, and therefore, the torque due to frictional force gives the angular acceleration, 232-1554_1.PNG
232-1726_1.PNG
232-424_1.PNG
232-941_1.PNG
232-763_1.PNG
232-2043_1.PNG 232-2088_1.PNG

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