Question

rigid object is rolling down an incline plane derive the expression for the acceleration along the track and the speed after falling through a certain vertical distance ​

Answer 1

Answer:

Consider a circularly symmetric rigid body, like a sphere or a wheel or a disc, rolling with friction down a plane inclined at an angle to the horizontal. If the friction force on the body is large enough, the body rolls without slipping.

Let M and R be the mass and radius of the body. Let I be the moment of inertia of the body. Let I be the moment of inertia of the body for rotation about an axis through its center, Let the body start from rest at the top of the incline at a height h. Let v be the translational speed of the center of mass at the bottom of the incline. Then, its kinetic energy at the bottom of the incline is

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