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A uniform sphere of mass m and radius R ...

A uniform sphere of mass `m` and radius R start rolling without slipping down an inclined plane. Find the time dependence of the angular. How will the result be affected in the case of a perfectly smooth inclined plane? The angle of inclination of the plane is `theta`.

Text Solution

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Applying the equation (about bottommost point)
Anuglar impulse `=` change in angular momentum about point of contact we have,
`tau(mgsintheta0R=` constant
`therefore` angular impulse `=tauxxt=(mgsintheta)Rt`
or `L=(mgsintheta)Rt`
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