A spherical balll of mass `m` is the highest point in the space between two fixed , concentic sphere `A` and `B` the smaller the two sphere `A` has a radius `R` and the space between the two spheres has a width `d` . The bell has a disneter very dightly less then d . All surface are frictionless . The bell is a given a gentle push (owards the right in the figure ) The upward vertical is denoted by `theta` (shown ijn the figure)

(a)Express the total normal reaction force exerted by the sphore on the as a finction of angle `theta`
(b) Let N_(A)` and N_(B)`denote in the magnitubes of the normal reaction force on the bell evered by the sphare `A` and `B` repectively Skech the variation of `N_(A) and`N_(B)` as functions of `cos theta ` in the range `0 le theta le pi ` by drawing two separate graph in your answer book taking `cos theta ` an the horizental axas.

Options

A. `mg(3 cos theta-2)`
B. `mg (2 cos theta-3)`
C. `3mg (2 cos theta-1)`
D. `2mg (3 cos theta-1)`

Answer

A