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Suppose a block of mass 1kg is placed ov...

Suppose a block of mass `1kg` is placed over a rought surface and a horizontal force `F` is applied on the block as shown in figure. Now let as see what are the values of force of friction `f` and acceleration of the block a if the force `F` is gradually increased. Given that `mu_(s) =0.5,mu_(k) =0.4 and g=10m//s^(2)`

Text Solution

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Free body diagram of the block is

`sumF_(Y)=0`
:. `N - mg = 0`
or `N=mg=(1)(10)=10N`
`f_(l)=mu_(s)N=(0.5)(10)=5N`
and `f_(k)=mu_(k)N=(0.4)(10)=4N`
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