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
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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 =
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