Different Tensions Acting on a Weight

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In summary, the problem involves a 1 kg mass being pulled by two weightless strings, one at an angle of θ from the vertical and the other exactly perpendicular to the weight's weight (Fg). When the horizontal string is cut, the weight swings to an angle of 2θ. The tensions (T1 and T2) in the strings are being asked for. The equations provided are T1 = FgTanθ and T2 = Fg/cosθ, but it is unclear if either of them is correct. To solve the problem, all the forces and accelerations must be determined and resolved in the appropriate direction to extract the equations.
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Homework Statement



A 1 kg mass is hanging from a weightless string and is pulled by another weightless string to an angle of θ from the vertical. The string pulling on the weight is exactly perpendicular to Fg. When the horizontal string is cut, the weight swings 2θ. What is the tension (T1) in the string before the horizontal string is cut, and what is the tension (T2) in the string when the weight swings to 2θ?

Homework Equations



T1 = FgTanθ, T2 = Fg/cosθ

The Attempt at a Solution



T2 = 9.81N/cosθ
T1 = T2sinθ
 
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  • #2
I don't think either of the equations is correct.
What are all the forces and accelerations in the two cases?
Which way will you resolve them to extract the equations?
 

1. What is tension?

Tension is a force that is exerted on an object by pulling on opposite ends of the object.

2. How does tension affect weight?

Tension can either increase or decrease the weight of an object, depending on the direction in which it is applied. If tension is applied in the same direction as the weight, it can increase the weight of the object. If tension is applied in the opposite direction of the weight, it can decrease the weight of the object.

3. What are the different types of tension that can act on a weight?

The different types of tension that can act on a weight include static tension, dynamic tension, and shear tension. Static tension is a constant force that does not change over time. Dynamic tension is a force that changes over time, often due to motion or vibration. Shear tension is a type of tension that acts perpendicular to the surface of an object.

4. How can tension be measured?

Tension can be measured using a tension meter or by calculating the force applied to an object. A tension meter typically uses a spring or a gauge to measure the amount of force being applied. To calculate tension, you can use the formula T = F/A, where T is tension, F is the force applied, and A is the cross-sectional area of the object.

5. What are some real-life examples of different tensions acting on a weight?

One example is a hanging object, such as a chandelier, where static tension is acting on the weight to keep it suspended. Another example is a person lifting weights, where dynamic tension is acting on the weight as they move it. Shear tension can be seen in the cables of a suspension bridge, where the weight of the bridge is supported by the tension in the cables.

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