Solve it buddies???

H C Verma problems

1 Answer
Aug 18, 2017

Answer:

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):}#