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Sahay Sir > Question Answers > Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions) > 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 r2 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?

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 r2 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?

A uniform cylinder of mass M lies in a fixed plane inclined at angle θ with horizontal. A light string is tied to the cylinder at the right most point and a mass m hangs from the string as shown in. Assume that the coefficient of friction between the cylinder and the inclined plane is sufficiently large to prevent slipping. For the cylinder to remain static the value of m is