2. Statics and Mechanics

Equilibrium — Quiz

Test your understanding of equilibrium with 5 practice questions.

Practice Questions

Question 1

A uniform beam of length $L$ and weight $W$ is supported by a hinge at one end and a vertical cable at the other. If the beam is horizontal and in equilibrium, what is the tension in the cable?

Question 2

A 100 N force is applied at an angle of $30^\circ$ to a lever, 0.5 m from the pivot. What is the magnitude of the torque produced by this force?

Question 3

A structure is subjected to multiple forces. For this structure to be in static equilibrium, what must be true about the sum of all external torques acting on it about any arbitrary point?

Question 4

A uniform beam of length $L$ and weight $W$ is supported by a roller at one end and a pin at the other. If a vertical downward load $P$ is applied at the center of the beam, how many unknown reaction components are there to solve for equilibrium?

Question 5

When analyzing a truss structure in equilibrium using the method of joints, which of the following assumptions is typically made?