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A block of mass m = 1 kg is at rest on a...

A block of mass m = 1 kg is at rest on a rough horizontal surface having coefficient of static friction 0.2 and kinetic friction 0.15.

Find the frictional forces if a horizontal force
(a) F = 1 N,
(b) F = 1.96 N and
(c) F = 2.5 N are applied on a block which is at rest on the surface.

Text Solution

Verified by Experts

`f_("max")=0.2xx1xx9.8N=1.96N`
(a) When F = 1N then, `F lt f_("max")`
and f = F
`therefore ` f = 1N
(b) When ` F = 1.96N, F=f_("max")`
`therefore F gt f_("max")=1.96N`
(c) When `F=2.5N`
`F gt f_("max")`
`therefore f=f_(k)=mu_(k)N=mu_(k)mg=0.15xx1xx9.8=1.47N`.
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