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, $μ_{S}$ is 0.4]

Question

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, $μ_{S}$ is 0.4]

Infinity Learn · Accepted Answer

Translational Equilibrium mgsinθ$$=T+f$$  $$----------(1)Rotational$$ Equilibrium (about$$ $$CM)T$$×$$R=f$$×R ⇒$$T=f----(2)  ⇒$$f=mgsin602=34mg=0.433mgBut$$ maximum frictional fore is $$fmax=$$μ$$mgcos60$$  $$=$$  $$0.2mgApplied$$ force in greater than maximum static frictional force.So, friction $$=$$ $$0.2$$ $$mg=15mg$$

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, $μ_{S}$ is 0.4]

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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]

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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, $μ_{S}$ is 0.4]