Question 288: Centre of Mass and Rotational Motion

Question

A circular disc D
1
of mass M and radius R has two identical discs D
2
and D
3
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 D
1
as shown in the figure, will be :
![](https://imagex.cdn.examgoal.net/urishUs0oI94QCmN1/afYAIGezjxQwwsBvyajUwZ6yZRWgZ/YUFUP5EiPiHjTc4JeLLgCh/image.png)

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

3MR
2

Answer

MR
2

Answer

${2 \over 3}$ MR
2

Answer

${4 \over 5}$ MR
2

Centre of Mass and Rotational Motion

A circular disc D 1 of mass M and radius R has two identical discs D 2 and D 3 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 D 1 as shown in the figure, will be :

Choose the correct answer: