Home
Class 11
PHYSICS
Three rods each of length L and mass M a...

Three rods each of length L and mass M are placed along X, Y and Z axis in such a way that one end of each of the rod is at the origin. The moment of inertia of this system about Z axis is

A

`(2ML^(2))/(3)`

B

`(4ML^(2))/(3)`

C

`(5ML^(2))/(3)`

D

`(ML^(2))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Moment of inertia of the system about z-axis can be find out by calculating the moment of inertia of individual rod about z-axis
`I_(1)=I_(2)=(ML^(2))/(3)` because z-axis is the edge of rod 1 and 2
and `I_(3)=0` because rod in lying on z-axis
`therefore I_("system")=I_(1)+I_(2)+I_(3)=(ML^(2))/(3)+(ML^(2))/(3)+0=(2ML^(2))/(3)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on centre of mass)|12 Videos

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on angular displacement, velocity and acceleration)|16 Videos

  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Self Evaluation Test|16 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise simple Harmonic Motion|21 Videos

Similar Questions

Explore conceptually related problems

Three thin rods, each of length 2 m and mass 3 kg are placed along x, y and z axes, such that one end of each rod is at the origin. The moment of inertia of this system about the x axis is

Three thin rods each of length Land mass M are placed along x, y and z-axes such that one of each rod is at origin. The moment of inertia of this system about z-axis is

Three identical rods, each of mass m and length l are placed along x, y and z axis respectively. One end of each rod is at the origin. The moment of inertia of the rods x-axis will be

Three thin uniform rods each of mass M and length L and placed along the three axis of a Cartesian coordinate system with one end of each rod at the origin. The M.I. of the system about z-axis is

Three uniform thin rods, each of mass 1 kg and length sqrt3 \ m, are placed along three co-ordinate axes with one end at the origin. The moment of inertia of the system about X-axis is

Two rods of equal lengths(l) and equal mass M are kept along x and y axis respectively such that their centre of mass lie at origin. The moment of inertia about an line y = x, is

Particles each of mass 1kg are placed at 1m, 2m and 4m on X-axis with respect to origin. Then moment of inertia of the system about Y-axis is

Two uniform thin rods each of mass M and length I are placed along X and Y-axis with one end of each at the origin. M.I. of the system about Z-axis is

A rod is placed along the line, y=2x with its centre at origin. The moment of inertia of the rod is maximum about.