Questions 

1. What is the difference between the free and forced vibrations?
2. In a damped vibratory system, what will be the phase difference between the input force and the output displacement when the excitation frequency is exactly same as the natural frequency of the system?
3. What will be the phase difference between the input force and the output displacement when the excitation frequency is less than the natural frequency of the system, and when it is greater than the natural frequency of the system?
4. How would you determine the natural frequency of a vibratory system in case of forced vibrations?
5. Give some examples based on the daily-life observations where the harmonic force generates?
6. What is the condition of resonance?
7. Let the natural frequency of the vibrating system is 20 Hz, then at resonance what will be the frequency of excitation force?
8. If the cantilever beam is heated to a certain temperature, then what will happen to the first natural frequency of the system?
9. Give some practical examples where we can observe resonance?
10. How many distinct resonance conditions can exist for an ‘N’ degree of freedom system?
11. What is the significance of damping in forced vibration?
12. How will be the second mode shape of the forced vibration of given cantilever system? Is it same as the free vibration system?