2.1.3. Mathematical Representation in Dynamic Systems

Try these first

1. 1.

   What is inertia?

   Hint

   Think of why a heavy object is hard to push.

2. 2.

   Name the components of the equation of motion.

   Hint

   How many terms are in the equation?

3. 3.

   What does 'm' in the equation of motion stand for?

   • Acceleration
   • Mass
   • Force

   Hint

   Consider what is being resisted in motion.

4. 4.

   True or False: Damping increases the amplitude of vibrations.

   • True
   • False

   Hint

   What is damping supposed to do?

5. 5.

   Given a mass of 500 kg and a damping coefficient of 10 Ns/m, if the external force acting on a system is 2000 N, calculate the acceleration.

   Hint

   Use the basic equation of motion.

6. 6.

   Explain how designing an earthquake-resistant structure changes when the mass of the structure is increased. Consider the effect on inertia forces.

   Hint

   Think about the implications of increased inertia.