1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A thin uniform metallic rod of mass M and length L is rotated with a angular velocity ω in a horizontal plane about a vertical axis passing through one of its ends. The tension in the middle of the rod is :

A
12MLω2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
14MLω2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
18MLω2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
38MLω2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 38MLω2T(x)−T(x+dx)=MLw2xdx (by taylors series formula)−dT=MLw2xdx (formulating the differential equation)∫T0TxdT=−∫0xMLw2xdxT(x)−T(0)=−[M2Lw2x2]x0Now,whenx=L,T(L)=0Thus,T(0)=M2Lw2L2Hence,T(x)=M2Lw2(L2−x2)∴T(L2)=M2Lw2(L2−L24)Hence,T(L2)=38MLw2

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Hooke's Law
PHYSICS
Watch in App
Join BYJU'S Learning Program