How do I solve for letter c?

i attached the problem below

Question

How do I solve for letter c?

i attached the problem below

anonymous · Answer

attachment

sachin00007 · Answer

i am not sure if it is the correct way to do it  . if it is wrong can you pls tell the correct way

net force =mass * acceleration
tension force + friction +weight=mass *acceleration
for m2 the tension force will be the same as the weight ( aplied force)
and for m1 the tesion force will be in the opposite direction in the string
 
you then make the "a" the subject for each mass

luigi0210 · Answer

@abb0t @nincompoop

luigi0210 · Answer

@wio

anonymous · Answer

Time for pictures.

anonymous · Answer

|dw:1393729363622:dw|

anonymous · Answer

|dw:1393729457936:dw|
I wonder, are there any other forces missing here?

anonymous · Answer

Next step: set up our equations.

anonymous · Answer

how about the friction on the 2.0 kg mass?

anonymous · Answer

It's there, you can make a separate arrow if you want.

anonymous · Answer

oh okay, lol sorry for the interruption :3

anonymous · Answer

You should know the force of gravity will be $m_1g$ and $m_2g$ respectively.  Do you know how to find the normal forces?

anonymous · Answer

yep 
is it equal to : $F_g\ cos\ \theta$?

anonymous · Answer

Hmmm, not quite sure, let me think...

anonymous · Answer

|dw:1393729944708:dw|  Yeah I guess you are right.