Solve Tension HW Problem: Find T1 & T2

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In summary, the conversation is about finding the tensions of two cables that are suspending a 58N weight. One cable is horizontal and the other is at a 60° angle. The individual is having trouble solving the problem and is unsure if their equations are correct. It is clarified that the angle is with respect to the horizontal and the equations are correct. The individual then tries to find T2 using a different formula but is reminded to simply divide by cos 60°. The conversation ends with gratitude for the assistance.
  • #1
Demianu27
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alright, I'm having trouble finding a formula to answer this problem.


a 58N weight is being suspended by 2 cables. the cable on the left side is horizontal, while the other cable is at a 60' angle.

What is the tension of the right side cable? (T1)

What is the tension of the left side cable, the horizontal one? (T2)


I started off by trying to find the sum of all the forces, but I'm already stuck.
I have;

{Fx = T2 - T1cos60 = 0
and
{Fy = T1sin60 - 58N = 0

is this right so far, or do i have the cos and the sin switched?
 
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  • #2
That depends on whether the 60° is with respect to horizontal or vertical.

If the angle is with respect to the horizontal, then your equations are correct.
 
  • #3
http://img123.imageshack.us/img123/2411/118dj.th.png [Broken]

that's the problem.

i've done this;

{Fx = T2 - T1cos60 = 0
and
{Fy = T1sin60 - 58N = 0

then to find T2 i thought i could do this;

T1sin60 = 58N
to
T1=(sin^-1)60 + 58N

but the answer is apparently wrong... so i must not have done it right.
 
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  • #4
T1sin60 = 58N is correct.

T1=(sin^-1)60 + 58N is not correct.

T1 * sin 60° = 58N => T1 = 58N / (sin 60°)

Try T2 = T1 * cos 60°
 
  • #5
ahhh i totally forgot i could just divide both sides by it

insted i was doing something else i learned recently... damnit so many formulas! lol

thank you a lot.
 

1. How do I know which equations to use to solve for T1 and T2?

The equations you will use depend on the given information in the problem. First, identify the known values and unknown values. Then, use the equations that involve those values to solve for T1 and T2.

2. What are the units for T1 and T2 in this problem?

T1 and T2 are typically expressed in units of force, such as Newtons (N) or pounds (lbs). However, depending on the problem, they may also be expressed in other units, such as kilograms (kg) or meters per second squared (m/s2).

3. Do I need to draw a free body diagram to solve this problem?

It is always helpful to draw a free body diagram to visualize the forces acting on the object. However, it is not always necessary to solve the problem. If the problem provides all the necessary information, you may be able to solve it without a free body diagram.

4. Can I use a calculator to solve this problem?

Yes, you can use a calculator to solve this problem. Make sure to use the correct units and follow the correct order of operations.

5. Is there a specific method or strategy for solving tension problems?

There are several different methods and strategies for solving tension problems, such as using Newton's laws of motion or using trigonometric functions. It is important to understand the concepts and equations involved in tension problems and practice solving various types of problems in order to develop a strong problem-solving strategy.

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