wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A uniform thin rod of length L and mass M is bent at the middle point O as shown in figure. Consider an axis passing through its middle point O and perpendicular to the plane of the bent rod. Then moment of inertia about this axis is :


A
23mL2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
13mL2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
112mL2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
dependent on θ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 112mL2


Moment of inertia of rod about O is sum of moment of inertia of both halfs.

I0=I1+I2
using moment of inertia of rod about corner, we get
I0=(m/2)(L2)23+(m/2)(L2)23=mL212

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon