Question

the moment of inertia of a uniform,rod of length 2l and mass m about an axis xx passing through its centre and inclined at an angle is

Answer 1

Answer on Question #28432

Physics – Mechanics | Kinematics | Dynamics

Question:

The moment of inertia of a uniform rod of length 2l and mass m about an axis xx passing through its centre and inclined at an angle is

Solution:

$$l = \frac {1}{12} m (2l \sin \alpha) ^ {2} = \frac {1}{3} m l ^ {2} \sin^ {2} \alpha ,$$

where $\alpha$ is the angle between the rod and rotation axis.

Answer:

$$\frac {1}{3} m l ^ {2} \sin^ {2} \alpha$$