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

A uniform chain of length L is lying on the horizontal table. If the coefficient of friction between the chain and the table top is μ, what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

A
L(1+μ)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
μL(1+μ)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
L(1μ)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
μL(1μ)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C μL(1+μ)Let M be the mass of the chain and L its length.If a length l hangs over the edge of the table, the force pulling the chain down is MlLg.The force of friction between the rest of the chain of lenth (L−l) and the table is μM(L−l)Lg.For equilibrium the two forces must be equal:⇒MlLg=μM(L−l)Lg⇒l=μ(L−l)⇒l=μL1+μ

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
How Do Rockets Fly in Space?
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program