FrictionHard
Question
An uniform disc of mass m and radius R is rolling up a rough inclined plane of angle 30o If the coefficient of static and kinetic friction are each equal to μ and the only forces acting on disc are frictional, gravitational and normal reaction, then the value of μ for maximum magnitude of frictional force acting on disc is:
Options
A.
B.
C.
D.
Solution
      
It may happen when friction is up the plane and disc′s acm is down the plane. Equations of motion are:
acm =
  as θ = 30o
α =
For no slipping,
acm = Rα
⇒Â
⇒ f =
Now, f = fmax
= μmg cos 30o
μ =
It may happen when friction is up the plane and disc′s acm is down the plane. Equations of motion are:
acm =
  as θ = 30oα =
For no slipping,
acm = Rα
⇒Â
⇒ f =
Now, f = fmax
= μmg cos 30oμ =
Create a free account to view solution
View Solution FreeMore Friction Questions
A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined a...A worker wishes to pile a cone of sand into a circular area in his yard. The radius of the circle is r, and no sand is t...A block of metal weighing 2 kg is resting on a frictionless plane. It is struck by a jet releasing water at a rate of 1 ...Starting from rest a body slides down a 45o inclined plane in twice the time it takes to slide down the same distance in...A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k, respectively (see figure I)...