A) \[{{I}_{1}}={{I}_{2}}={{I}_{3}}\]
B) \[{{I}_{2}}>{{I}_{1}}>{{I}_{3}}\]
C) \[{{I}_{3}}<{{I}_{2}}<{{I}_{1}}\]
D) \[{{I}_{3}}>{{I}_{1}}>{{I}_{2}}\]
Correct Answer: B
Solution :
The moment of inertia of a body about an axis depends not only on the mass of the body, but also on the distribution of mass about the axis. For a given body mass is same, so it will depend only on the distribution of mass about the axis. The mass is farthest from axis BC, so \[{{l}_{2}}\] is maximum. Mass is nearest to axis AC, so \[{{l}_{3}}\] is minimum. Hence, the correct sequence will be \[{{I}_{2}}>{{I}_{1}}>{{I}_{3}}\] Note: In a rotational motion, moment of inertia is also known as rotational inertia.You need to login to perform this action.
You will be redirected in
3 sec