18.1. Introduction; Discrete Rigid Bars

Try these first

1. 1.

   Define stable equilibrium.

   Hint

   Think about how objects respond to pushes.

2. 2.

   What does neutral equilibrium mean?

   Hint

   Consider how a ball might behave on a flat surface.

3. 3.

   What is stable equilibrium?

   • A. Returns after disturbance
   • B. Stays where disturbed
   • C. Moves away

   Hint

   Think about everyday objects that return to where they started.

4. 4.

   True or False: Neutral equilibrium means the system moves away from its original position.

   • True
   • False

   Hint

   Consider how a marble behaves on a flat surface.

5. 5.

   Given a rigid bar with a spring at one end, calculate the conditions for stable equilibrium under a given load.

   Hint

   Consider the sum of moments about the pivot point.

6. 6.

   Discuss the implications of designing structures with low natural frequency.

   Hint

   Explore examples of structures affected by dynamic loads.