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A partical of mass 1kg rests on rought c...

A partical of mass `1kg` rests on rought contact with a plane inclined at `30^(@)` to the horizontal and is just about to slip, Find the coefficient of friction between the plane and the particle.

Text Solution

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Weight `mg` has two components `mg sin theta` and `mg cos theta`.Block is at rest
:. `N=mg cos theta` …(i)
`f=mg sin theta` …(ii)
Block is about to slip.
:. `f=f_(l)=mu N` …(iii)
Here `mu _(s)= mu`
Solving these three equations, we get
`mu =tan theta=tan 30^(@)`
`=(1)/sqrt(3)`
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