engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Physics Center of Mass and Linear Momentum Center of Mass
As shown in fig. when a spherical cavity (centred at O) of radius 1 is cut out of a uniform sphere of radius R (centred at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e on the surface of the cavity. R can be determined by the equation :
1
(R2 + R − 1) (2 − R) = 1
2
(R2 − R + 1) (2 − R) = 1
3
(R2 + R + 1) (2 − R) = 1
4
(R2 − R − 1) (2 − R) = 1