    Question

# The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to the rod, through its centre is I. The moment of inertia of the rod about an axis perpendicular to the rod through its end point is:

A
I4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
I2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2I
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4I
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 4IWe know, a thin uniform rod lying on the axis that is passing through its center have a moment of inertia,IXY=mL212Where,m is the mass per unit length of the rod and L is the length of the rod.Let us assume that the endpoint of the rod lies on the point (P,Q) and the moment of inertia at that point is I′.I=ML212M is the total mass.By applying the parallel axis theorem, we have-I′=I+M(L2)2Since the distance from the center to the endpoint is L2.I′=ML212+ML24=ML2(112+14)=ML2(412)=4.(ML212)=4I  Suggest Corrections  1      Similar questions  Related Videos   Moment of Inertia
PHYSICS
Watch in App  Explore more