This is how i would have done it. But i do not get the answer as 1.4ms-2. Can someone tell me what im doing wrong. Thankx
The 2kg mass hanging would be the force that pulls the 8kg mass. Since it is hanging gravity would act on it making it have a force of 2*9.81 = 19.62N
Since frictional forces are 6N, we do, 19.62-6 = 13.62N
Thats the resultant force. Now we use F=ma to get its acceleration.
13.62/8 = 1.7 ms-2
You cannot take the acceleration to be 9.81 since that would not be the case due to the tension in the string which is linked to the other mass.
Using Newton's 2nd law of motion for the 2kg mass => W - T = 2a
W : weight of the object.(2 x 9.81)
NOTE : Newton's 2nd law applies only to the
resultant force. Here the resultant is W - T.
So you have to do it the way ashish did it. You need to find two equations involving the two variables you're to find; acceleration and tension.
Then you need to solve them simultaneously to get the required solution which is
a = 1.4ms-2.