What Are the Tensions in the Two Cables at Point C?

In summary, tension in wires tied together is the force or pull exerted on the wires when they are connected. It can be calculated using the formula T = F * L, taking into account the strength and distance between the points where they are tied. Several factors, such as wire strength, distance, and external forces, can affect tension. Tension significantly impacts the overall strength of the wires and can be managed by using high-quality wires and adjusting tension accordingly through regular maintenance and inspections.
  • #1
Deathfish
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Homework Statement



2 cables are tied together at C as shown. Determine the tension in AC and BC.
(ans: 120.1N, 156.3N)

tutorial2_7.jpg


Homework Equations





The Attempt at a Solution



tan-1 4/5 = 38.66
tan-1 4/3 = 53.13

100/tan 38.66 = ACx
ACx = 124.99

AC = sqrt(124.99^2 + 100^2)
AC = 160 (wrong)
 
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  • #2
If T1 is the tension in AC and T2 that of BC, then x-components of T1 and T2 cancel each other. Hence

T1*cos(38.66) = T2*cos(53.13) ...(1)

Similarly y-components of tensions add up to 200 N.

Solve the two equations and find T1.
 

FAQ: What Are the Tensions in the Two Cables at Point C?

What is tension in wires tied together?

Tension in wires tied together refers to the force or pull that is exerted on the wires when they are connected or fastened together. This force is created by the tension or tightness of the wires and is a result of the internal forces within the wires.

How is tension calculated in wires tied together?

Tension in wires tied together can be calculated using the formula T = F * L, where T is the tension in the wires, F is the force applied to the wires, and L is the length of the wires. This formula takes into account the strength of the wires and the distance between the points where they are tied together.

What are some factors that affect tension in wires tied together?

Several factors can affect tension in wires tied together, such as the strength and thickness of the wires, the distance between the points where they are tied, and the amount of force applied to the wires. Other factors can include the material of the wires, the temperature, and the presence of any external forces.

How does tension in wires tied together impact their overall strength?

The tension in wires tied together can significantly impact their overall strength. If the tension is too high, it can cause the wires to stretch, weaken, or even break. On the other hand, if the tension is too low, the wires may become loose and may not be able to support the weight or load they were intended to hold.

How can tension in wires tied together be effectively managed?

To effectively manage tension in wires tied together, it is essential to ensure that the wires are of high quality and have the appropriate strength for the intended purpose. It is also crucial to calculate and adjust the tension accordingly, based on the factors mentioned earlier. Regular maintenance and inspections can also help to identify any potential issues and prevent excessive tension in the wires.

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