Home
Class 11
PHYSICS
Two masses each of mass M are attached t...

Two masses each of mass `M` are attached to the end of a rigid massless rod of length `L`. The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is.

A

`ML^(2)`/4

B

`ML^(2)`/2

C

`ML^(2)`

D

`2ML^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The moment of inertia of the system about the given axis is
`I=M(L/2)^(2) + M(L/2)^(2)`
`=(ML^(2))/(4)+(ML^(2))/(4)=(ML^(2))/(2)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTIONS

    NCERT FINGERTIPS|Exercise Kinematics Of Rotational Motion About A Fixed Axis|3 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTIONS

    NCERT FINGERTIPS|Exercise Dynamics Of Rotational Motion About A Fixed Axis|10 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTIONS

    NCERT FINGERTIPS|Exercise Moment Of Inertia|7 Videos

  • PRACTICE PAPERS

    NCERT FINGERTIPS|Exercise Practice Paper 3|50 Videos

  • THERMAL PROPERTIES OF MATTER

    NCERT FINGERTIPS|Exercise Assertion And Reason|10 Videos

Similar Questions

Explore conceptually related problems

Two masses each of mass M are attached to the end of a rigid massless rod of length L . The moment of interia of the system about an axis passing centre of mass and perpendicular to its length is.

Two spheres each mass M and radius R are connected with massless rod of length 2R . Then moment of inertia of the system about an axis passing through the centre of one of sphere and perpendicular to the rod will be

Two point masses m_(1) and m_(2) are joined by a weightless rod of length r . Calculate the moment of inerrtia of the system about an axis passing through its centre of mass and perpendicular to the rod.

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.

Two spheres each of mass M and radius R//2 are connected with a massless rod of length R . Find the moment of inertia of the system about an axis passing through the centre of one of the sphere and perpendicular to the rod

Two masses m_(1) and m_(2) are attached to the ends of a light rod of length l .The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is (m_(1)=m and m_(2) =2m)

Two balls of masses m and 2m are attached to the ends of a light rod of length L . The rod rotates with an angular speed omega about an axis passing through the center of mass of system and perpendicular to the plane. Find the angular momentum of the system about the axis of rotation.

Two spheres each of mass M and radius R//2 are connected at their centres with a mass less rod of length 2 R . What will be the moment of inertia of the system about an axis passing through the centre of one of the sphere and perpendicular to the rod ?

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