Vibrations - Q. based on Spec.

1. What is the definition of simple harmonic motion?

2. What does the equation a = −ω²x signify in the context of simple harmonic motion?

3. How is the variation of acceleration with displacement graphically represented during simple harmonic motion?

4. What does the equation x = Acos(ωt + ε) represent as a solution to a = −ω²x?

5. What are the definitions of frequency, period, amplitude, and phase in relation to simple harmonic motion?

6. How can the period be expressed in terms of 2 equations?

7. What does the equation v = Aωsin(ωt + ε) illustrate about the velocity during simple harmonic motion?

8. How is the relationship between displacement and velocity represented graphically over time in simple harmonic motion?

9. What is the equation used to determine for a system with stiffness k and mass m?

10. How does the equation T = 2𝛑 √(l/g) relate to the period of a simple pendulum?

11. How can we graphically represent the interchange between kinetic and potential energy during undamped simple harmonic motion, and how can we calculate energy changes of KE and PE, as well as Total energy?

12. What are free oscillations, and how does damping affect real systems?

13. What are some practical examples of damped oscillations?

14. Why is critical damping important in cases such as vehicle suspensions?

15. What are forced oscillations, and how do they relate to resonance with practical examples?

16. How does the amplitude of a forced oscillation vary with driving frequency, and how does increased damping affect the resonance curve?

17. In what circumstances is resonance beneficial, such as in circuit tuning and microwave cooking, and when should it be avoided, such as in bridge design?

Last tested: 01/06