Home
Class 12
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

Text Solution

Verified by Experts

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 ML2 =/2= 3 because z-axis is the edge of rod 1 and 2`I_1=I_2=ML^2` because z-axis is the edgeod rod 1 and 2 and`I_3=0`because rod is lying on z-axis `because I(system)=I_1+I_2+I_3=(ML^2)/3+(ML^2)/3+0=(2ML^2)/3`.
Promotional Banner

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