Question icon
Grade 11Mechanics

Derive the expression for moment of inertia of a rod about it's centre and perpendicular to the rod

Profile image of Divya
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of k sibin
7 Years ago
lets take a dm mass x distance from its centre on the rod of mass m and length l
I=∫l/2-l/2 (m/l).dx)x2
 
 =m/l[x3/3]-l/2l/2 
=m/l[l3/24 + l3/24]
=ml/12