To masses 7 kg and 12 kg are connected at the two ends of a light inextensible string that passes over a fictional pulley using free body diagram method find acceleration of masses and the tension in the string when the masses are released

Tension in the string when the masses are released is 88.42  N

Acceleration of masses is

Explanation:  

Given:

Mass ,m1 = 12

Mass , m2 = 7  

g =

To Find :

Tension  in the string=?

Acceleration of masses=?

Solution:

For mass M_1  

--------------------(1)

For mass M2

---------------------(2)

Adding equation (1) and (2)

Finding Acceleration:

Acceleration is given by

Substituting the values,

Finding Tension:

From  Equation 1

Tension can be

T=(7)(2.578) + 7(9.8)

T=(17.99)+(68.6)

T=86.59 N