18. COLUMN STABILITY

Try these first

1. 1.

   Define stable equilibrium.

   Hint

   Think about how a pencil behaves when placed upright.

2. 2.

   What happens in unstable equilibrium?

   Hint

   Consider the stability of a pencil on its tip.

3. 3.

   What defines stable equilibrium?

   • The system remains in its new position
   • The system returns to its original position
   • The system moves away from its original position

   Hint

   Consider a fully upright pencil.

4. 4.

   True or False: A balanced pencil on its tip is an example of stable equilibrium.

   • True
   • False

   Hint

   Visualize what happens with even a small push.

5. 5.

   A bar with a spring is held at an angle of 10 degrees to the vertical. Calculate whether the situation is stable or unstable when subjected to a load of 50 N.

   Hint

   Consider the angle's effect on moment calculations.

6. 6.

   Design a support system for a rigid bar that must withstand varying axial loads while maintaining stability. Outline the key factors to consider.

   Hint

   Think about realistic scenarios and performance under different loads.