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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

$(\frac{5}{2}, 0)$

b

$(0, \frac{5}{2})$

c

$(\frac{19}{8}, 0)$

d

$(0, \frac{19}{8})$

answer is B.

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Detailed Solution

detailed_solution_thumbnail

For hollow cone com $= \frac{h}{3}$

$Y_{c m} = \frac{m (\frac{3}{3}) + m (4)}{m + m} = \frac{5}{2}$ cm

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