Home
Class 11
PHYSICS
A uniform rod of length '2L' has mass pe...

A uniform rod of length '2L' has mass per unit length 'm' . The moment of inertia of the rod about an axis passing through its centre and perpendicular to its length is

A

`(2)/(3) mL^(2)`

B

`(1)/(3) mL^(2)`

C

`(2)/(3) mL^(3)`

D

`(4)/(3) mL^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
M= Mass `= m xx 2L= 2mL`
`I= (mL^(2))/(12)= ((2mL) (2L)^(2))/(12)= (2mL^(3))/(3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform rod of length 1 metre has a mass of 500 gram . What is moment of inertia of the rod about an axis passing through the centre of the rod perpendicular to its length. How is moment of inertia changed when the same axis passes through one end of the rod ?

A rod of length 2 m has a mass of 0.24 kg. Its moment of inerita about an axis passing through its centre and perpendicular to the length of the rod is

A rod of length 2 m, has a mass of 0.12 kg. Its moment of inertia about an axis passing through its one end and perpendicular to the length of the rod is

A 1m long rod has a mass of 0.12 kg. The moment of inertia about an axis passin through the centre and perpendicular to the length of rod will be

A thin wire of mass m and length l is bent in the form of a ring . Moment of inertia of that ring about an axis passing through its centre and perpendicular to its through its centre and perpendicular to its plane is

The radius of gyration of an uniform rod of length L about an axis passing through its centre of mass and perpendicular to its length is.

The M.I. of thin uniform rod of mass 'M' and length 'l' about an axis passing through its centre and perpendicular to its length is

Consider a thin uniform rod having length 'L' and mass 'M'. Its moment of inertia about an axis passing through mid-point between centre point and one end and perpendicular to its length is

A solid cylinder of uniform density of radius 2 cm has mass of 50 g. If its length is 12 cm, calculate its moment of inertia about an axis passing through its centre and perpendicular to its length.