# What are the tension forces and angles in this stationary equilibrium setup?

• PremedBeauty
In summary, we have two boxes, A and B, with masses of 11.0kg and 7.00kg respectively. Box A is on a ramp at an angle of 30.0 degrees and is connected to a cord that is parallel to the ramp. Box B is hanging from a cord and the whole system is supported by a third cord that makes an angle with the horizontal. The tension in the upper cord is equal to the sum of the tension forces in the cords attached to Box A and Box B. The angle of the cord connected to the ceiling can be found using the equations mentioned above.
PremedBeauty
A stationary arrangement of two crayon boxes and three cords. Box A has a mass of 11.0kg and is on a ramp at angle θ=30.0 degrees; box B has a mass of 7.00 kg and hangs on a cord. The cord connected to Box A is parallel to the ramp which is frictionless (a) What is the tension in the upper cord, and (b) what angle does that cord make with the horizontal?

Let TA = tension force in the cord attached to block A.
TB = tension force in the cord attached to block B.
TC = tension force in the cord attached to ceiling.
φ = angle of cord attached to ceiling with the horizontal
θ = angle of ramp = 30 degrees

1.Ta-magsin
2.Tb-mbgsin=0
3.Tcsin=magsin+mbg
4.Tccos=magsin
5=T^2c(cos^2+sin^2)

that's what I know so far (on what equations to use for each step)

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I think you need to modify your diagram. The cord connected to A should be parallel to the ramp. The cord connected to B is vertical, but far enough to the right so that B is not in contact with the ramp (you're OK with this one) and the cord supporting the whole thing is NOT vertical. It makes whatever angle is needed to produce equilibrium. You need to have angles after your cos and sin in your equations so you know which angle you are talking about.

## 1. What is Another Equilibrium topic?

Another Equilibrium topic is a scientific concept that refers to a state of balance or stability in a system, where the forces or variables that act on the system are equal.

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Another Equilibrium topic is a related but distinct concept from equilibrium. While equilibrium refers to a state of balance between opposing forces or variables, Another Equilibrium topic specifically focuses on a different type of balance in a system.

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