1. Chapter 15
Oscillations
In this chapter we will cover the following topics:
Displacement, velocity and acceleration of a simple harmonic oscillator
Energy of a simple harmonic oscillator
Examples of simple harmonic oscillators: spring-mass system, simple pendulum, physical pendulum, torsion pendulum
Damped harmonic oscillator
Forced oscillations/Resonance
(15-1)

2. (15-2)

3. (15-3)

4. (15-4)

5. (15-5)

6. (15-6)

7. (15-7)

8.  (degrees) (radians) sin
In the small angle approximation we assumed that  << 1 and used the approximation: sin   We are now going to decide what is a “small” angle i.e. up to what angle  is the approximation reasonably accurate?
 (degrees) (radians) sin
(1% off)
(2% off)
Conclusion: If we keep  < 10 ° we make less that 1 % error
(15-8)

9. (15-9)

10. (15-10)

11. (15-11)

12. (15-12)

13. Moving support
(15-13)