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

Question

Navjyot Kalra · Answer

(a)
The linear acceleration of the body rolling down the inclined plane can be written using Newton’s second law of motion as:

The frictional force is also responsible for rotating the body, and therefore, the torque due to frictional force gives the angular acceleration,

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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

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