Q.

A sphere of mass m and radius 1 cm is placed at the top of a hollow cone of same mass m and height 3 cm. Taking the centre of the base of the cone as the origin, the co-ordinates of the centre of mass of the system in cm are

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a

52,0

b

0,198

c

198,0

d

0,52

answer is B.

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Detailed Solution

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For hollow cone com =h3

Ycm=m33+m(4)m+m=52 cm

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A sphere of mass m and radius 1 cm is placed at the top of a hollow cone of same mass m and height 3 cm. Taking the centre of the base of the cone as the origin, the co-ordinates of the centre of mass of the system in cm are