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Chapter 15 Oscillations In this chapter we will cover the following topics: Displacement, velocity and acceleration of a simple harmonic oscillator Energy.

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Presentation on theme: "Chapter 15 Oscillations In this chapter we will cover the following topics: Displacement, velocity and acceleration of a simple harmonic oscillator Energy."— Presentation transcript:

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)


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