Find the acceleration of the system and the maximum force

AI Thread Summary
The discussion revolves around calculating the acceleration of a system with three connected masses (50 kg, 60 kg, and 80 kg) and determining the maximum force that can be applied without breaking the rope. The tension between the first two masses is given as 200 N, leading to an acceleration of 4 m/s². For the maximum force F, the calculated value is 1727 N, ensuring the rope remains intact. Participants emphasize the importance of understanding which segment of the rope would fail under increased force. The conversation highlights the need for clear diagrams and systematic problem-solving approaches in physics.
annalian
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Homework Statement


There are 3 masses ma= 50 kg, mb= 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 TAB= 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


TAB= ma*a => a=TAB/ ma
 
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annalian said:
TAB= ma*a => a=TAB/ ma
That's good. What about part b?
 
Doc Al said:
That's good. What about part b?
I don't know... Could you help?
 
annalian said:
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?
 
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