Physics · System of Particles and Rotational Motion
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 the remaining (shaded) part of the sphere is at G, which lies on the surface of the cavity. R can be determined by which of the following equations?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 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✓
Correct answer
(R2 + R + 1)(2 - R) = 1
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