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

 


842900_42753_ans_100d057582df45cea26100def9d541cd.PNG

Physics

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