Question 160: Centre of Mass and Rotational Motion

Question

Match List-I with List-II

List-I

List-II

(A)
Moment of inertia of solid sphere of radius R about any tangent.
(I)
$${5 \over 3}M{R^2}$$

(B)
Moment of inertia of hollow sphere of radius (R) about any tangent.
(II)
$${7 \over 5}M{R^2}$$

(C)
Moment of inertia of circular ring of radius (R) about its diameter.
(III)
$${1 \over 4}M{R^2}$$

(D)
Moment of inertia of circular disc of radius (R) about any diameter.
(IV)
$${1 \over 2}M{R^2}$$

Choose the correct answer from the options given below :

Accepted Answer

(A) Moment of inertia of solid sphere of radius R about a tangent $$ = {2 \over 5}M{R^2} + M{R^2} = {7 \over 5}M{R^2}$$
$$\Rightarrow$$ A $$-$$ (II)
(B) Moment of inertia of hollow sphere of radius R about a tangent $$ = {2 \over 3}M{R^2} + M{R^2} = {5 \over 3}M{R^2}$$
$$\Rightarrow$$ B $$-$$ (I)
(C) Moment of inertia of circular ring of radius (R) about its diameter = $${{\left( {M{R^2}} \right)} \over 2}$$
$$\Rightarrow$$ C $$-$$ (IV)
(D) Moment of inertia of circular disc of radius (R) about any diameter
$$ = {{M{R^2}/2} \over 2} = {{M{R^2}} \over 4}$$
$$\Rightarrow$$ D $$-$$ (III)

Answer

A - II, B - I, C - IV, D - III

Answer

A - I, B - II, C - IV, D - III

Answer

A - II, B - I, C - III, D - IV

Answer

A - I, B - II, C - III, D - IV

Centre of Mass and Rotational Motion

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