A hemispherical bowl of uniform mass distribution of mass ‘M’ is at rest on frictionless horizontal ground sur- face. There is a small insect of mass 'm' on bowl at point ‘A’ of the bowl at rest. Now the insect moves with constant speed ‘v’ relative to bowl in vertical plane. Assume that insect does not slip on the bowl.

When insect at point ‘P’ on the bowl the displacement of centre of mass of the system (bowl + insect) is :

Options

A. `(mR cos theta)/((M+m))` vertically upwards
B. zero
C. `(mR sin theta)/((M+m))` vertically upwrads
D. `(MRsin theta)/((M+m))` vertically upwards

Explanation

NA