Two blocks of masses `3 kg` and `2 kg` are placed side by side on an inclined as shown in figuire A force `F = 292 A` force `F = 20N` is active on `2 kg` block along the inclined .The coefficient of friction between the block and the inclined is same and equal to `0.1` .Find the normal force exerted by `2 kg` block on `3 kg`block

Options

A. `18 N`
B. `30 N`
C. `12 N`
D. `27.6 N`

Answer

c

Explanation

The free - body diagram of two blocks are shown in figure Under the assumption that blocks are moving together.
`F +2g sin 37^(@)+ 3g sin 37^(@)- f_(1) - f_(2) = 5a`
where`f_(1) = mu xx 3g cos 37^(@)`
and `f_(2) = mu xx 2g cos 37^(@)`

`rArr a = (46)/(5) ms^(-2)`
For `3 kg` block`N+ 3g sin 37^(@)- f_(1) = 3a rArr N = 12 N`