Question

A square is made by joining four rods each of mass M and length L. Its moment of inertia about an axis PQ, in its plane and passing through one of its corner is

Answer 1

A square is made by joining four rods each of mass M and length L. Its moment of inertia about an axis PQ, in its plane and passing through one of its corner is

Explanation:

r = l/√2 + l/2√2  = 3l√2

I = 2I₁ + 2I₂  

= 2(I₁ + I₂)

=2[ML²/3 sin²45°  + ([ML²/12  sin²45°  Mr²    )]

= 8/3ML²