Force Analysis in Equilibrium Systems

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Questions and Answers

What is the equation for the sum of forces in the x-direction?

ΣFx = 0, which includes RACOS 70 + 1000 - TCOS 10 = 0 and TCOS 10 - RACOS 70 = 1000.

What is the equation for the sum of forces in the y-direction?

ΣFy = 0, which includes RA SIN 70 - T SIN 10 - 5000 = 0 and T SIN 10 - RA SIN 70 = -5000.

What is the value of T?

3.05 KN

What is the value of RA?

<p>5.88 KN</p> Signup and view all the answers

What angle is the line connecting the two circles inclined at?

<p>130°</p> Signup and view all the answers

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Study Notes

Force Analysis Equations

  • The sum of forces in the x direction (ΣFx) is equal to zero.
  • The sum of forces in the y direction (ΣFy) is equal to zero.
  • These equations can be used to determine the unknown forces in a system.

Force Analysis Results

  • The tension force (T) is equal to 3.05 KN.
  • The reaction force (RA) is equal to 5.88 KN.

Force Analysis Diagram

  • Two objects are connected by a line inclined at an angle of 130°.
  • Forces acting upon the objects are labelled RA and T, and their corresponding angles.
  • The diagram illustrates the forces acting on a system in equilibrium.

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