What is the number of degrees of freedom for a particle in free motion in space?

3 degrees of freedom

True or False: A rigid body has 9 degrees of freedom.

False. A rigid body has 6 degrees of freedom: 3 translation and 3 rotation.

Fill in the blank: The work done by all forces acting on a system during a small virtual displacement is ______.

ZERO

Which of the following is a method for formulating equations of motion? A) Lagrange's equation B) Virtual displacement C) Free-body diagrams D) All of the above

D) All of the above

Riddle: I describe the movement of a system with independent coordinates, but I am not a physical entity. What am I?

Degrees of freedom

In the context of virtual work, what must be true for the generalized forces, Qi, in an n degree of freedom system?

Qi = 0 for i = 1, 2, ..., n

Fill in the blank: The principle that states the sum of all forces acting on a body, including inertial forces, is zero is known as ______.

D’Alembert’s Principle

What is the general form of virtual work for a one degree of freedom system?

ΔW = Q1δq1

True or False: The constraint forces do virtual work.

False. The constraint forces do not do virtual work.

What is the formula for the potential energy, V, stored in a spring when extended a distance x?

V = 1/2 kx²