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emmasim [6.3K]
2 years ago
11

Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.

Mathematics
1 answer:
jeka942 years ago
5 0

Answer:

  • 892 lb (right)
  • 653 lb (left)

Step-by-step explanation:

The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...

  Rcos(45°) +Lcos(75°) = 800

  Rsin(45°) -Lsin(75°) = 0

Solving these equations by Cramer's Rule, we get ...

  R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))

     = 800sin(75°)/sin(120°) ≈ 892 . . . pounds

  L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds

The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.

_____

This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...

  (right, left) = w/sin(α+β)×(sin(β), sin(α))

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Step-by-step explanation:

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2 years ago
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart.
suter [353]

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<h3>How to solve for the distance</h3>

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<ABC = 80 - 65

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1 year ago
What is the measure of EFC
Elanso [62]

Answer:

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Step-by-step explanation:

i hope this helped!!

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Which of the following best shows two elements combining to form a compound!? Explain...
ioda

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Step-by-step explanation:

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Stells [14]

Answer:

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Step-by-step explanation:

They are the ONLY  consecutive even numbers

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The  integers are either 14 and 16 or -14 and -16.

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