CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Two rods of equal length (L) and equal mass (M) are kept along x and y axis respectively such that their centres of mass lie at the origin. The moment of inertia about the line y=x, is
  1. ML26
  2. ML23
  3. ML212
  4. ML24


Solution

The correct option is C ML212

Moment of inertia of a rod of mass M and length L with axis of rotation passing through the center of the rod (perpendicular to the plane) and making angle θ with the rod:
I=ML212sin2θ

Therefore, moment of inertia of rod AB and CD about the line y=x is
I=2I
=2×ML212sin245 (θ=45)
=ML212

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image