Most Important Selected Qs for JEE AdvancedPhysicsLaws of Motion
A rope A B of linear mass density is placed on a quarter vertical fixed disc of radius R as shown in the figure. The surface between the disc and rope is rough such that the rope is just in equilibrium. Gravitational acceleration is g . Choose the correct option(s).
Options
- ACoefficient of static friction between rope and disc is =1 .
- BCoefficient of static friction between rope and disc is = 1 2 .
- CMaximum tension in the rope is at the top most point A of the rope.
- DMaximum tension in the rope is Rg ( 2 -1) .
Correct answer
D. Maximum tension in the rope is Rg ( 2 -1) .
Step-by-step solution
For equilibrium aligned & Rg ₀^ 2 d = Rg ₀^ 2 d & =1 aligned At the position of maximum tension in the rope R d g = ( R d g ) =45^ At any , d T= R d g - R d g aligned & ₀^ T_ d T= Rg ₀^ 4 ( - ) d & T_ = Rg [ + ]₀^ 4 = Rg [ 1 2 + 1 2 -1 ]= Rg ( 2 -1) aligned