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A uniform cylindrical body of radius r h...

A uniform cylindrical body of radius r has a conical nose. The length of the cylindrical and conical parts are `4r` and `3r` respectively. Mass of the conical part is M. The body rests on a horizontal surface as shown. A ring of radius `(r)/(2)` is to be tightly fitted on the nose of the body. What is maximum permissible mass of the ring so that the body does not topple?

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The correct Answer is:
`(29)/(6) M`
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