Question

# A solid cylinder of mass $$\mathrm{m}$$ and radius $$\mathrm{r}$$ is rolling on a rough inclined plane of inclination $$\theta$$. The coefficient of friction between the cylinder and incline is $$\mu$$. Then:

A
frictional force is always μmgcosθ
B
friction is a dissipative force.
C
by decreasing θ, frictional force decreases.
D
friction opposes translation and supports rotation.

Solution

## The correct options are C by decreasing $$\theta$$, frictional force decreases. D friction opposes translation and supports rotation.From the diagram we observe $$f$$ opposes translational and supports rotational  Also $$mgsin\theta =f$$  $$\Rightarrow f \propto \sin \theta$$ Thus if we reduce $$\theta$$  $$f$$ will be decreased  Physics

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