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A block of mass 4kg is placed on a rough...

A block of mass `4kg` is placed on a rough horizontal plane A time dependent horizontal force `F =kt` acts on the block `(k =2N//s)`. Find the frictional force between the block and the plane at `t =2` seconds and `t =5` seconds `(mu =0.2)` .

Text Solution

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Given F = kt
When t = 2 sec , F= 2(2) = 4 N `" " ` ….. Case (i)
`f_("ms") = mu_(s) ms = 0.2 xx 4 xx 10 = 8 N `
Here `F lt f_("ms") therefore ` friction = applied force = 4 N
When t = 5 sec , F = 2(5) = 10 N `" " …….` case (ii)
`F gt f therefore ` frictional force `lt 8 N`
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