Calculating Tension: Homework Statement Q33

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In summary, the conversation is discussing a problem involving a bag hanging in equilibrium supported by two ropes, with angles T1 and T2. The correct solution involves using the free-body diagram and considering both the vertical and horizontal forces, instead of assuming that the tension in each rope is equal.
  • #1
Zynoakib
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Homework Statement


Question 33. Just T1 and T2 are okay, I know T3
20150720_194737.jpg


Homework Equations


F=ma

The Attempt at a Solution


325/2 = 162.5N

For T1: (162.5)(sin 60)

For T2: (162.5)(sin 40)

Thanks!
 
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  • #2
And you would be wrong.

The bag is hanging in equilibrium, according to the problem statement, so not only must the sum of the forces in the vertical direction equal zero, the horizontal forces must also be equal and opposite.

You can't blindly assume that the tension in each rope is equal, given the unequal size of the angles the ropes make with the horizontal.
 
  • #3
This is not correct. Why do you think that the weight is equally supported by the two wires?

Chet
 
  • #4
Before solving the problem, you need to simplify the problem by using free-body diagram. And then you can realize what is wrong in your equations.
 
  • #5
thank you guys, I got the right answer.
 

1. What is tension?

Tension is a force that is transmitted through a string, rope, cable, or similar object when it is pulled tight by forces acting from opposite ends.

2. What are the units of tension?

The units of tension are typically expressed in Newtons (N) in the SI system or pounds (lb) in the Imperial system.

3. How do you calculate tension?

Tension can be calculated using the formula T = F * L, where T is the tension, F is the force applied, and L is the length of the string or object.

4. What are some common applications of tension?

Tension is commonly used in engineering and construction to determine the strength and stability of structures, such as bridges and buildings. It is also used in physics experiments to study the behavior of objects under tension.

5. Can tension be negative?

Yes, tension can be negative in certain situations where the force applied is in the opposite direction of the string or object's natural tension. This can occur, for example, when a string is being compressed rather than stretched.

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