Question

Solve it buddies???

Answer 1

See below.

Explanation:

For the object with mass `2M`

`T_1=2M a_1`

For the pulley `B`

`T_1= 2T_2`

For the object with mass `M`

`M g - T_2 = M a_2`

Kinematic constraint

`a_2 = 2 a_1`

Force actuating in pulley `A`

`F_c = sqrt 2 T_2`

Mounting now the system of equations

#{(2 M a_1 = T_1), (T_1 = 2 T_2), (M g - T_2 = M a_2), (a_2 = 2 a_1), (F_c = sqrt[2] T_2):}#

and solving we get

#{(T_1 = (2 g M)/3), (T_2 = (g M)/3), (a_1 = g/3), (a_2 = (2 g)/3), (F_c = 1/3 sqrt[2] g M):}#