The block A in the given figure is of mass `10sqrt(3)` kg The coefficient of friction between the block and the surface on which it rests is 0.5. Find maximum mass of block B possible such that the system will be in equilibrium is.

Options

A. 5 kg
B. 10 kg
C. `(10)/sqrt(3)` kg
D. 7 kg

Answer

a

Explanation

`T_(1)=mg`
`T_(2) sin 30^(@)=T_(1) rarr T_(2)= 2mg`
for equilibrium of A
`T_(3) le f_(max) rarr sqrt(3)mg le mu10sqrt(3)g rarr m le 0.5 10 rarr m le 5 kg`