In the arrangement shown in the figure, block A of mass 8 kg rests on a horizontal table having coefficient of friction `mu = 0.5`. Block B has a mass of 6 kg and rests on a smooth incline having inclination angle `theta = sin^(-1) ((2)/(5))` . All pulleys and strings are mass less . Mass of block C is M .
`[g = 10 m//s^(2)]`

(a) Find value of M for which block B does not accelerate
(b) Find maximum value of M for which A does not accelerate.

Answer

(a) `(960)/(95)` kg
(b) `(480)/(61)` kg