Question 204: Centre of Mass and Rotational Motion

Question

Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is :

Accepted Answer

$$I = {2 \over 5}m{a^2} + {2 \over 5}m{a^2} + \left[ {{2 \over 5}m{a^2} + m{b^2}} ight] + [{2 \over 5}m{a^2} + m{b^2}]$$
$$I = 4 	imes {2 \over 5}m{a^2} + 2m{b^2}$$
$$ = {8 \over 5}m{a^2} + 2m{b^2}$$

Answer

$${4 \over 5}m{a^2}$$

Answer

$${8 \over 5}m{a^2} + m{b^2}$$

Answer

$${4 \over 5}m{a^2} + 2m{b^2}$$

Answer

$${8 \over 5}m{a^2} + 2m{b^2}$$

Centre of Mass and Rotational Motion

Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is :

Choose the correct answer: