FrictionHard
Question
The upper portion of an inclined plane of inclination a is smooth and the lower portion is rough. A particle slides down from rest from the top and just comes to rest at the foot. If the ratio of the smooth length to rough length is m : n, the coefficient of friction is :
Options
A.
tan α
tan αB.
tan α
tan αC.
tan α
tan αD.
Solution
On smooth surface a1 = g sin α
∴ v2 = u2 + 2a1s1
= 0 + 2 g sin a .m
On rough surface
a2 = g sin α − mg cos a
∴ v′2 = v2 + 2a2s2
O = 2mg sin α + 2g (sin α − μ cos α)n
⇒ μ =
tan αCreate a free account to view solution
View Solution FreeMore Friction Questions
A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pulley at th...A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination θ. The coefficient of f...A block lying on a long horizontal conveyor belt moving at a constant velocity receives a velocity 5 m/s relative to the...A box ′A′ is lying on the horizontal floor of the compartment of a train running along horizontal rails from...In the arrangement shown in the figure mass of the block B and A are 2 m,, 8 m respectively. Surface between B and floor...