Home
Class 12
PHYSICS
Use the parallel axis theorem to find th...

Use the parallel axis theorem to find the moment of inertia ofa uniform rod of mass M = 3kg and length 2a (a = 1m), about a perpendicular axis through one end?

Text Solution

Verified by Experts

The moment of inertia, IG, about an axis through G and perpendicular to the rod is `1/3Ma^2`. The axis through the end A is a parallel axis, therefore `I_A=I_G+Ma^2=1/3Ma^2+Ma^2=4/3Ma^2=4kg m^2`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

Calculate the moment of inertia of a rod of mass 2 kg and length 5 m about an axis perpendicular to it and passing through one of its ends.

The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

Find the moment of inertia of a uniform square plate of mass M and edge of length 'l' about its axis passing through P and perpendicular to it.

Calculate the moment of inertia of a uniform rod of mass M and length l about an axis passing through an end and perpendicular to the rod. The rod can be divided into a number of mass elements along the length of the rod.

Find radius of gyration of a rod of length l and mass m about an axis perpendicular its length through one end.