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A mass of 4 kg rests on a horizontal pla...

A mass of 4 kg rests on a horizontal plane. The plane is gradually inclined until at an angle `0 = 15^(@)` with the horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the surface

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Force acting on block and their component are shown in figure
When `theta ` increases tan `theta` will also increase hence magnitude of `f_(s) ` will increase upto certain limit Let for `theta = theta_(max)` frictional force become maximum `f_(s) _(max)` from equatin (3)
`tan theta _(max)`
`tan 15^(@) =mu_(s)`
`mu_(s) = tan 15^(@) = 0.2679`
`mu_(s) = 0.27`
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