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A sphere of mass M is held at rest on a ...

A sphere of mass M is held at rest on a horizontal floor. One end of a light string is fixed at a point that is vertically above the centre of the sphere. The other end of the string is connected to a small particle of mass m that rests on the sphere. The string makes an angle `alpha = 30^(@)` with the vertical. Find the acceleration of the sphere immediately after it is released. There is no friction anywhere.

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The correct Answer is:
`(sqrt(3)mg)/(3m + 4M)`
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