Physics question: Finding 2 angles with given tensions and mass

In summary, a traffic light of 1.00 x 10^2 N is hung so that the tensions T1 and T2 are both equal to 80.0 N, resulting in equal angles being formed with respect to the x axis. Using the equations Fx = 0 = -T1 cos theta + T2 cos theta and Fy = 0 = T1 sin theta + T2 sin theta - 1.00 x 10^2, we can solve for the angle theta to be -60 degrees.
  • #1
MadameCassie
4
0

Homework Statement


Suppose the traffic light (1.00 x 10^2 N) is hung so that the tensions T1 and T2 are both equal to 80.0 N. Find the new angles they make with respect to the x axis. (By symmetry, these angles will be the same.)

Homework Equations


Fx = 0 = -T1 cos theta + T2 cos theta
Fy = 0 = T1 sin theta + T2 sin theta - 1.00 x 10^2

The Attempt at a Solution


Fx = 0 = -80 cos theta + 80 cos theta
Fy = 0 = 80 sin theta + 80 sin theta - 1.00 x 10^2
 
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  • #2
Welcome to PF!

Hi MadameCassie! Welcome to PF! :smile:

(have a theta: θ :wink:)
MadameCassie said:
Fy = 0 = 80 sin theta + 80 sin theta - 1.00 x 10^2

Yes, you're almost there.

So θ = … ? :smile:
 
  • #3
Thanks tiny tim! Nice to meet you! :)

It's kinda hard to solve for theta. I've been setting up the problem and it comes out not right.
 
  • #4
show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 
  • #5
Fy = 0 = 80 sin theta + 80 sin theta - 1.00 x 10^2
0=160 sin θ- 100 N
0=60 sin θ
-60=sin θ
 
  • #6
MadameCassie said:
0=160 sin θ- 100 N
0=60 sin θ

Noooo :redface:

0=160 sinθ - 100 N

160 sin θ = 100 N :smile:

get some sleep! :zzz:​
 
  • #7
haha I get it! Thanks so much!
 

Related to Physics question: Finding 2 angles with given tensions and mass

1. How do you find the two angles in a physics question with given tensions and mass?

To find the two angles in a physics question with given tensions and mass, you can use the laws of trigonometry and the equations of equilibrium. By setting up a free body diagram and applying the equations of equilibrium (sum of forces in the x and y direction equals zero), you can solve for the unknown angles.

2. What equations are typically used to solve for the unknown angles in this type of physics question?

The equations of equilibrium, specifically the sum of forces in the x and y direction equals zero, are typically used to solve for the unknown angles in a physics question with given tensions and mass. Additionally, the laws of trigonometry, such as sine, cosine, and tangent, may be used to solve for the angles.

3. What information do I need to know in order to solve for the unknown angles?

In order to solve for the unknown angles in a physics question with given tensions and mass, you will need to know the values of the tensions, the mass, and any other relevant information given in the question. You may also need to know the length of the strings or the distance between the points where the strings are attached.

4. Are there any assumptions or simplifications that can be made when solving for the unknown angles?

Yes, there are a few assumptions and simplifications that can be made when solving for the unknown angles in a physics question with given tensions and mass. One assumption is that the strings are massless and do not stretch. Additionally, you may assume that the system is in equilibrium and that there are no external forces acting on the system.

5. Can you provide an example of a physics question where you would need to find two angles with given tensions and mass?

An example of a physics question where you would need to find two angles with given tensions and mass is a problem involving a hanging object supported by two strings attached to the ceiling. In this scenario, you would need to know the tension in each string, the mass of the object, and the angles of the strings in order to solve for the unknown angles.

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