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A flat disc of radius 'R' lie son the ho...

A flat disc of radius 'R' lie son the horizontal surface. The pressure between the disc and the surface decreases linearly with distance from the centre r due to its weight per unit area from `2P_(0)` at th ecentre to `P_(0)` at r = R at the circumference. The coefficient of friction between the disc and the surface is `'mu'`. Find the power delivered by the external agent to rotate the disc with a constant angular velocity `omega `

A

`( 5)/( 6) pi P_(0) R^(3) omega mu`

B

`( 7)/( 6) pi P_(0 ) R^(3) omega mu`

C

`(3)/( 6) pi P_(0) R^(3) omega mu`

D

`(11)/( 6) pi P_(0)R^(3) omega mu`

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The correct Answer is:
A
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