Statics Two objects with 3 angles

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Discussion Overview

The discussion revolves around a statics problem involving two cars connected by a cable, with participants analyzing the forces acting on each car and the angles involved. The focus is on setting up the equations of equilibrium and drawing free body diagrams (FBDs) to solve for the unknown tension in the cable.

Discussion Character

  • Homework-related, Technical explanation, Exploratory

Main Points Raised

  • One participant describes the problem setup, including the weights of the cars and the angles at which they are positioned relative to the normal.
  • Another participant questions the reference point for the angles "from the normal" and emphasizes the need for clarity on whether the weights are expressed in mass or force units.
  • A suggestion is made to provide a figure for better understanding, along with the recommendation to draw and share separate FBDs for each vehicle.
  • One participant indicates that two FBDs are necessary to establish the required equations for the system, suggesting that this will lead to a total of six equations involving translations and rotations.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best approach to solve the problem, as there are differing opinions on the necessity of additional diagrams and the interpretation of the problem's parameters.

Contextual Notes

There are unresolved issues regarding the definitions of weight versus mass, the reference point for angles, and the completeness of the free body diagrams provided.

SLC2SMU
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Homework Statement



Ok, Let's see, this problem consists of two (2) cars with a cable of unknown tension between them.

The first car has a weight of 2100Kg and is at an angle of 10 degrees from the normal.
The second car weighs 1360Kg and is at an angle of 26 degrees from the normal.

There is a rope connecting them at an angle of 18 degrees from the normal.



Homework Equations



W=mg
Fx=0
Fy=0

The Attempt at a Solution



So far I have drawn a free body diagram that seems to be accurate. I have then divided the variables up into their respective coordinates

Fx=0=Tcos(18)-N1cos(10)-N2cos(26)
Fy=0=N1sin(10)+N2sin(26)+ Tsin(18)-M1g-M2g

I have been tinkering around with this and have been unable to come up with anything. I think that possibly the first car does not matter and only the second car matters because it is the weight and I can assume car 1 is fixed. If not that then possibly doing variable subsitution?

Any Ideas?
 
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You speak of angles "from the normal" but you don't say what your reference is, what is this normal perpendicular to?

By the way, if the unit is kg, then the quantity is a mass, not a weight. If it is a weight, it will be in Newtons.

It would probably be a very good idea to post a figure for this problem. Also, you might want to try drawing (and posting) a FBD for each body.
 
Ok let me try and get it uploaded.
 
Ok here is the file, I couldn't just get the picture so I had to put up the entire file. It is problem 3.16. for my FBD I have a N1 and N2 perpendicular to each of the vechicles and a force of Mg straight down. and a force of -T from the truck and a force of T from the car. I don't have a scanner otherwise I would upload the FBD.
 
I think the file is on this one.
 

Attachments

Looks like you need two FBDs, one for the crane and for the caisson. That should give you six equations, two translations and one rotation for each body. You have a little bit more work to do.
 

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