Question
Three masses 6kg, 2kg and 4kg are kept on a frictionless horizontal surface and pulled by a force 42N. Find the acceleration of system, tension T1 and T2.

Solution
The equations of motion for mass m1, m2 and m3 as under:

Solving the above equations, we get
and,
T1 =
and
T2 =
Substituting the value of m1, m2 and m3, we get
Acceleration,
Tension, T1 =
Tension, T2 =

Solving the above equations, we get

T1 =

T2 =

Substituting the value of m1, m2 and m3, we get
Acceleration,

Tension, T1 =

Tension, T2 =
