Find the acceleration of the system and the maximum force

[annalian]

Homework Statement

There are 3 masses m_a= 50 kg, m_b= 60kg, mc= 80kg. These masses are connected with a rope that affords a tension of 1000 N. On the mass 3 is applied a force F. Knowing that the tension between A and B T_AB= 200 N. a)Find the acceleration b) find the maximal value of the force F so that the rope doesn't cut off. a) [4m/s2] b) [1727N]

Homework Equations

F=m*a

The Attempt at a Solution

T_AB= m_a*a => a=T_AB/ m_a

 

[Doc Al]

T_AB= m_a*a => a=T_AB/ m_a

That's good. What about part b?

 

[annalian]

That's good. What about part b?

I don't know... Could you help?

 

[Doc Al]

I don't know... Could you help?

It's actually quite similar to part a. Draw yourself a diagram. Hint: Which segment of rope would break first, if the force is increased too much?