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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?
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What angle is the line connecting the two circles inclined at?
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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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Description
Explore the principles of force analysis in equilibrium systems. This quiz covers the sum of forces in both the x and y directions, providing insights into calculating unknown forces such as tension and reaction forces. Test your understanding of the concepts and diagrams related to equilibrium conditions.
