1.

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

Answer»

SOLUTION :
Forceactingon blockand theircomponentare shown in figure
When `theta `increasestan `theta`will alsoincreasehencemagnitudeof `f_(s) ` will increaseuptocertainlimitLetfor `theta = theta_(max)` frictionalforcebecomemaximum`f_(s) _(max)` fromequatin(3)
`tan theta _(max)`
`tan 15^(@) =mu_(s)`
`mu_(s)= tan15^(@)= 0.2679`
`mu_(s)= 0.27`


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