Question 290: Centre of Mass and Rotational Motion

Question

A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO' ,passing through the centre of D1 as shown in the figure, will be :

Accepted Answer

I $$=$$ $${{M{R^2}} \over 2} + 2\left( {{{M{R^2}} \over 4} + M{R^2}} \right)$$
$$ = {{M{R^2}} \over 2} + {{M{R^2}} \over 2} + 2M{R^2}$$
$$=$$ $$3M{R^2}$$

Answer

3MR2

Answer

MR2

Answer

$${2 \over 3}$$ MR2

Answer

$${4 \over 5}$$ MR2

Centre of Mass and Rotational Motion

A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO' ,passing through the centre of D1 as shown in the figure, will be :

Choose the correct answer: