Static Equilibrium Condition Quiz

Play an AI-generated podcast conversation about this lesson

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?

A force with known line of action Signup and view all the answers

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

Equal to zero Signup and view all the answers

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

Reactions opposing motion along the possible directions 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:

Zero 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?

Concurrent Signup and view all the answers

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

Concurrent forces Signup and view all the answers

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

Intersection of the lines of action of relevant forces Signup and view all the answers

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

Force triangle Signup and view all the answers

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

$0$ 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?

The moment of F1 and F2 about the point of intersection will be zero. 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?

To ensure that the sum of moments about A is zero. Signup and view all the answers

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

Static equilibrium 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?

F1 and F2 have equal magnitudes but opposite senses. 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?

The line of action of force F2 must pass through point B. Signup and view all the answers

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

To visualize all acting forces and moments on the system. Signup and view all the answers

Static Equilibrium Condition Quiz

Choose a study mode

Podcast

Questions and Answers