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Acceleration involving newton's 2nd law

  • #1

Homework Statement


There is a box on a platform with mass 3.5kg and it has two ropes connected to it. On the end of each of these ropes are 2 other boxes hanging off the table (so only F_y component). One box is 2.5kg and the other is 1.5kg. I need to find the acceleration of all the boxes.

the answer is 1.3m/s^2 for all of them

Homework Equations



F_net=ma
F_g=mg

The Attempt at a Solution


a_box1=F_net/m=((m_1)(g)-a_box2)/m

I don't know how to proceed from here because I end up going in a loop
 

Attachments

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Answers and Replies

  • #2
Delphi51
Homework Helper
3,407
10
It takes a long time to get attachments approved. Can you describe the diagram?
Or you could put it up on a photo site like photobucket and post a link to it.
Is there friction in this question?
 
  • #4
Delphi51
Homework Helper
3,407
10
I see students posting complicated solutions with several tension forces, but I just do it by eye. There is an extra kg hanging on the right, so it will go right and the acceleration is
a = F/M where the force is the mg on the 1 kg and the M is the total mass.
 
  • #5
Doc Al
Mentor
44,877
1,129
Nothing wrong with "doing it by eye" in one step. But I strongly suggest you also do it the long way, by applying Newton's 2nd law to each mass. That's the method that will allow you to solve more complicated problems, so you might as well learn how to use it on this simpler one.

Write a Newton's 2nd law force equation for each mass. Combine those three equations and you'll be able to solve for the acceleration and the two rope tensions.
 

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