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A semicircle disc of mass M and radius R...

A semicircle disc of mass `M` and radius `R` is held on a rough horizontal surface as shown in figure. The centre of mass `C` of the disc is at a distance of `(4R)/(3pi)` from the point `O`. Now the disc is released from this position so that it starts rolling without slipping. Find

`(a)` The angular acceleration of the disc at the moment it is relased from the given position.
`(b)` The minimum co-efficient of fricition between the disc and ground so that it can roll without slipping.

Text Solution

Verified by Experts

`(a) (8g)/(9piR)` `(b) (24pi)/(27pi^(2)-32)`
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