Choose the correct option(s) for the given sitution.

Options

A. The maximum horizontal force `F` which can be applied such that sliding does not occur between `A` and `B` is `24 N`
B. The maximum horizontal force `F` which can be applied such that sliding does not occur between `A` and `B` is `30 N`
C. The maximum horizontal force `F` which can be applied such that sliding does not occur between `A` and `B` is `20 N`
D. There will be no sliding between `A` and `B`, if `F = 5N`.

Answer

A, D

Explanation

No sliding between `A` and `B`. Hence both move together
`F - 0.1 xx 3 xx g = 3a`……(i)
`F = 2T` …….(ii)
`T - 0.5 xx 1.g = 1 . a`……..(iii)
On solving
`F - 0.3g = ((F)/(2)-0.5g)`
`:. F = 2 xx (1.5 - 0.3) xx 10 = 24 N`