Sine Rule and Tension in Cables

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the task in this exercise?

Determine the tensions of the cables in the diagram.

What is the angle at point A in the diagram?

40 degrees

What is the magnitude of the force applied at point C?

400 N

What is the method suggested for calculating the cable tensions?

<p>The law of sines</p> Signup and view all the answers

Flashcards

Static Equilibrium

A state where the net force acting on an object is zero, resulting in no acceleration.

Cable Tension

The force exerted by a cable or rope when it is pulled taut.

Sine Rule

A mathematical formula used to solve triangles, relating the lengths of sides to the sines of their opposite angles.

Weight

The force due to gravity acting on an object's mass.

Signup and view all the flashcards

Cable Angle

The angle between the horizontal axis and the cable.

Signup and view all the flashcards

Point C

The point where the weight is attached to the cables.

Signup and view all the flashcards

Force Balance at Point C

The forces acting on Point C are balanced, meaning their vector sum is zero.

Signup and view all the flashcards

Tension in Cable A

The tension in cable A is calculated by applying the sine rule to the triangle formed by the weight, cable A, and the horizontal.

Signup and view all the flashcards

Tension in Cable B

The tension in cable B is calculated similarly to cable A, using the sine rule and the given angles.

Signup and view all the flashcards

Cable Tension Calculation

The tensions in the cables are determined by balancing the weight's force using the sine rule, reflecting the principle of static equilibrium.

Signup and view all the flashcards

Study Notes

Problem Statement

  • Determine the tension in the cables using the sine rule.

Diagram Analysis

  • A structure is shown with cables A and B attached to a point C.
  • A downward force of 400 N is applied at point C.
  • Angle at point A is 40°.
  • Angle at point B is 20°.

Conclusion

  • The problem requires the application of the sine rule to find the tension in cables A and B.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

IMG_1174.jpeg

More Like This

Criminal Law Exclusionary Rule Quiz
8 questions
Chemistry Chapter 3.8: Octet Rule Exceptions
14 questions
USAPL Rule Book Flashcards
24 questions

USAPL Rule Book Flashcards

SensationalChrysoprase468 avatar
SensationalChrysoprase468
Exclusionary Rule Exceptions
15 questions
Use Quizgecko on...
Browser
Browser