1.

A solid sphere rolls without slipping on an inclined plane of angle theta. Find its linear acceleration in the direction parallel to the surface of the inclined plane.

Answer»

`(5)/(7)gsintheta`
`(7)/(5)gsintheta`
`(3)/(5)gsintheta`
`(1)/(2)gsintheta`

Solution :Acceleration of body parallel to the PLANE is
`a=(gsintheta)/(1+(K^(2))/(R^(2)))`
but for sphere `k^(2)=(2)/(5)R^(2)`
`therefore a=(gsintheta)/(1+(2R^(2))/(5R^(2)))`
`therefore a=(5gsintheta)/(7)`


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