Consider the object shown in the figure. It consist of a solid hemisphere of mass M and radius R. There is a solid rod welded at its centre. The object is placed on a flat surface so that the rod is vertical. Mass of the rod per unit length is `(M)/(2R)`. What is the maximum length of the rod that can be welded so that the object can performoscillations about the position shown in diagram? Note : Centre of mass of a solid hemisphere is at a distance of `(3R)/(8)` from its base.

Consider the object shown in the figure. It consist of a solid hemisph

1.	Consider the object shown in the figure. It consist of a solid hemisphere of mass M and radius R. There is a solid rod welded at its centre. The object is placed on a flat surface so that the rod is vertical. Mass of the rod per unit length is `(M)/(2R)`. What is the maximum length of the rod that can be welded so that the object can performoscillations about the position shown in diagram? Note : Centre of mass of a solid hemisphere is at a distance of `(3R)/(8)` from its base.
Answer» Correct Answer - Less than `sqrt((3)/(2))R`

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