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A block of mass M is connected with a pa...

A block of mass M is connected with a particle of mass m by a light inextensible string as shown in fig. Assuming all contaction surfaces as smooth, find the acceleration of the wedge after releasing the system.

Text Solution

Verified by Experts

`T = Mg`

`T + mu N = m omega^(2)R`
`Mg + muMg = m omega^(2)R`
`omega_(max) =sqrt(((M + mu m) g)/(mR))`
For maximum angular velocity , the direction of friction will be toward radius direction (away from center) Hence.
`omega_(min) =sqrt(((M + mu m) g)/(mR))`
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