A sphere of radius R made up of Styrofoam (light polystyrene...

A sphere of radius

R

made up of Styrofoam (light polystyrene material) has a cavity of radius

R / 2

. The centre of the cavity is situated at a distance of

R / 2

from the centre of the Styroform sphere. The cavity is filled with a solid material of density five times that of Styrofoam. Now, the centre of mass is seen to be located at a distance

x

from the centre of Styrofoam sphere, therefore

x

Options

A $R / 2$
B $R / 3$
C $R / 4$
D $R / 6$

Correct answer

D. $R / 6$

Step-by-step solution

No Solution

Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A ball A of mass 1 kg moving at a speed of 5 ~m / s strikes tangentially another ball B… Olympiad workbook Consider two point masses m_1 and m_2 connected by a light rigid rod of length r_0 . The… Olympiad workbook Two point masses m_1 and m_2 are connected at the ends of a light rigid rod of length l .… Olympiad workbook A particle at rest explodes into two fragments of masses m_1 and m_2 (m_1>m_2) which move… Olympiad workbook A ball of mass m hits directly another ball of mass M at rest and is brought to rest by… Olympiad workbook Two particles A and B of equal masses have velocities v_A =2 + and v_B =- +2 . The… Olympiad workbook Rocket fuel is capable of giving an exhaust velocity of V_ rel =2.4 ~km / s in the… Olympiad workbook Two bodies of equal masses moving with equal speeds make a perfectly inelastic collision.… Olympiad workbook Full Rotational Motion list All Olympiad workbook PYQs