Static Equilibrium Condition Quiz
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Questions and Answers

What is the necessary and sufficient condition for the static equilibrium of a body?

  • Resultant force from all external forces is zero
  • Resultant force and couple from all external forces form a system equivalent to zero (correct)
  • Resultant force and moment from all external forces form a system equivalent to 1
  • Resultant moment from all external forces is zero

How many scalar equations are formed by resolving each force and moment into its rectangular components for static equilibrium?

  • 5
  • 3
  • 6 (correct)
  • 4

What is the first step in the static equilibrium analysis of a rigid body?

  • Drawing a free-body diagram (correct)
  • Calculating the moments of the forces
  • Resolving forces into components
  • Identifying the known external forces

What do reactions at supports and connections for a two-dimensional structure equivalent to?

<p>A force with known line of action (C)</p> Signup and view all the answers

In static equilibrium, what does the sum of moments about a point need to be?

<p>Equal to zero (A)</p> Signup and view all the answers

When detaching a free-body diagram from other bodies, what should be included in the diagram?

<p>Reactions opposing motion along the possible directions (B)</p> Signup and view all the answers

In static equilibrium, the sum of the moments of forces F1, F2, and F3 about any axis must be:

<p>Zero (B)</p> Signup and view all the answers

For a rigid body in equilibrium, what condition must be satisfied regarding the lines of action of the forces?

<p>Concurrent (B)</p> Signup and view all the answers

What is the key condition for a three-force body to be in static equilibrium?

<p>Concurrent forces (B)</p> Signup and view all the answers

When determining the direction of a reaction force, it must pass through which point?

<p>Intersection of the lines of action of relevant forces (B)</p> Signup and view all the answers

What type of triangle can be utilized to determine the magnitude of a reaction force?

<p>Force triangle (D)</p> Signup and view all the answers

What is the sum of moments about any axis for a rigid body in static equilibrium?

<p>$0$ (D)</p> Signup and view all the answers

For a rigid body subjected to forces acting at only 3 points, assuming their lines of action intersect, what conclusion can be drawn about the moment of F1 and F2 about the point of intersection?

<p>The moment of F1 and F2 about the point of intersection will be zero. (B)</p> Signup and view all the answers

In a two-force body equilibrium scenario, why must the line of action of force F2 pass through point A?

<p>To ensure that the sum of moments about A is zero. (D)</p> Signup and view all the answers

Which type of equilibrium requires that the sum of forces in any direction be zero?

<p>Static equilibrium (B)</p> Signup and view all the answers

What conclusion can be drawn about the magnitude and sense of forces F1 and F2 in a two-force body equilibrium?

<p>F1 and F2 have equal magnitudes but opposite senses. (B)</p> Signup and view all the answers

What is the key requirement for summing moments about point B to be zero in a two-force body equilibrium?

<p>The line of action of force F2 must pass through point B. (B)</p> Signup and view all the answers

Why is it important to create a free-body diagram when analyzing frames and cables?

<p>To visualize all acting forces and moments on the system. (B)</p> Signup and view all the answers

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