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

# A thin rod of length L is lying along the x - axis with its ends at x =0 and x= L. Its linear density (mass/length) varies with x as (xL)n, where k is a constant and n can be zero or any positive number. If the position xcm of the centre of mass of the rod is plotted against n, which of the following graphs best approximates the dependence of xcm on n

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D XCM=∫xdm∫dm If n = 0, then Xcm=L2 As n increases, the centre of mass shift away from x=L2 which only (a) option is satisfying.

Suggest Corrections
21
Join BYJU'S Learning Program
Related Videos
Integrating Solids into the Picture
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program