A solid cylinder of mass m is wrapped with an inextensible light string and is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is: [ the coefficient of static friction, μs is 0.4]
Since given coefficient of static friction is less than μ_min, so body will perform rolling with slipping and kinetic friction will act F? = μN = μmg cosθ = (0.4) × mg cos 60° = mg/5
<p>μ_min = (I tanθ)/ (I + mR²)<br>= [ (mR²/2)tanθ] / [mR²/2 + mR²] = (tanθ)/3 = (tan 60°)/3 = √3/3 = 1.732/3 = 0.5773</p><p>Since given coefficient of static friction is less than μ_min, so body will perform rolling with slipping and kinetic friction will act<br>F? = μN = μmg cosθ = (0.4) × mg cos 60° = mg/5</p>
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