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Mechanical Properties Of Solids

Question
CBSEENPH11020476
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One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively IA and IB such that


Where dA and dB are their densities.

  • IA = IB

  • IA > IB

  • IA < IB

  • IA/IB = dA/dB

Solution

C.

IA < IB

Let same mass and same outer radii of solid sphere and hollow sphere are M and R respectively. The moment of inertia of solid sphere A about its diameter
straight I subscript straight A space equals space 2 over 5 space MR squared .... (i)
Similarly the moment of inertia of hollow sphere (spherical shell) B about its diameter
straight I subscript straight B space equals space 2 over 3 space thin space MR squared  (ii)
It is clear from eqs. (i) and (ii). IA < IB

Some More Questions From Mechanical Properties of Solids Chapter

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

Assertion:  A rigid body can be elastic.

Reason: If s force is applied on the rigid, its dimensions may change.

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