Aring and a disc, both with radius r and mass m, roll down an incline. find their angular and linear accelerations.

Explanation:

Given

both ring and disc have mass m and radius r

Let be the inclination of plane with horizontal

be the friction force which provides torque to object

and ---1

where I=moment of inertia

and we know for pure rolling a=\alpha \times r[/tex]

thus

Thus Linear acceleration of ring with

For disc

Angular acceleration for ring

For disc

force tends to be low and long diustance masses are high

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