Solve for the tension in T1 and T2

  • Thread starter lilgen
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    Tension
In summary: So T1 = 115.99.In summary, to solve this problem, you need to incorporate the force due to the hanging weight into the second equation. The first equation should be corrected to T1sin42 + T2sin18 - 90 = 0. Then, solve the second equation for T1 in terms of T2 and plug it into the corrected first equation. Finally, solve for T2 and use that to find T1.
  • #1
lilgen
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Homework Statement


A friend gave this to me and i have never taken physics could use some help on how to solve this.


Homework Equations


Have no clue


The Attempt at a Solution


Have researched and came up with this probably not correct
T1sin42+T2sin18=0
T1cos42-T2cos18=0
 

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  • #2
You need to incorporate the force due to the hanging weight into the second equation.

EDIT: Sorry, the *first* equation! The vertical components.
 
Last edited:
  • #3
lilgen said:

Homework Statement


A friend gave this to me and i have never taken physics could use some help on how to solve this.


Homework Equations


Have no clue


The Attempt at a Solution


Have researched and came up with this probably not correct
T1sin42+T2sin18=0
T1cos42-T2cos18=0

The first equation should be: T1sin42 + T2sin18 - 90 = 0.

Solve the second equation for T1 (in terms of T2). Plug that into the corrected first equation, and solve for T2. Then use that to find T1.
 
  • #4
T1sin42+T2sin18-90=0
T1cos42-T2cos18=0

T1=T2cos18/cos42

T2cos18/cos42*sin12+sin18-90=0

T2=89.23
T1=157.92

Is this the way you were talking about doing it? I am wanting to learn it thank you for your help.
 
  • #5
lilgen said:
T1sin42+T2sin18-90=0
T1cos42-T2cos18=0

T1=T2cos18/cos42

T2cos18/cos42*sin12+sin18-90=0

T2=89.23
T1=157.92

Is this the way you were talking about doing it? I am wanting to learn it thank you for your help.

T2(cos18/cos42*sin42+sin18)-90=0

Sorry about not following up.

I get T2=65.93 .
 

1. What is tension?

Tension is a force that is created when an object is pulled or stretched. It is a measure of the amount of force that is being applied to an object.

2. How is tension calculated?

Tension can be calculated using the formula T = F/A, where T is the tension, F is the force applied, and A is the cross-sectional area of the object.

3. What are T1 and T2?

T1 and T2 are the tensions in two different strings or ropes that are connected to an object. They are typically used in physics problems to calculate the forces acting on an object.

4. How do I solve for the tension in T1 and T2?

To solve for the tension in T1 and T2, you will need to know the forces acting on the object and the angles at which the strings are pulling. Using this information, you can set up equations and solve for T1 and T2 using the formula T = F/A.

5. What units are used to measure tension?

Tension is typically measured in units of Newtons (N) in the metric system or pounds (lbs) in the imperial system. These units represent the amount of force being applied to an object.

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