Question

73. In the system shown, M= 10 kg. The maximum value of m (in kg) so that the
arrangement shown in the figure is in equilibrium is given by
M
u= 0.1
u=0.4
(A) 2
(B) 2.5
(C) 3
(D) 3.5​

Answer 1

EXPLANATION.

For F. B. D of block A

=> T = mg .......(1)

No force will act on M and m

$\bold{f \: = \mu_{2}n \: = 2t \: \: \: .......(2)}$

=> T + Mg = N ......(3)

From equation (3) we get,

=> N = ( m + M) g

From equation (2) we get,

$\bold{ \mu_{2}(m \: + \: M)g \: = 2mg}$

$\bold{m \: = \frac{ \mu_{2} M}{2 \: - \mu_{2}} }$

=> m = 0.4 X 10 / 2 - 0.4 = 2.5

=> m = 2.5

Therefore,

option [ B] is correct

Note = Also see image attachment.