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2. Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please email: educators@boundless.com http://boundless.com/teaching-platform

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4. Energy in a Simple Harmonic Oscillator Energy and Simple Harmonic Motion Waves and Vibrations: Periodic Motion and Oscil... > Energy and Simple Harmonic Motion Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics?campaign_content=book_5869_section_95&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=di rect&utm_source=boundless

5. The sum of the kinetic and potential energies in a simple harmonic oscillator is a constant, i.e., KE+PE=constant. The energy oscillates back and forth between kinetic and potential, going completely from one to the other as the system oscillates. Energy in a Simple Harmonic Oscillator Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/waves-and-vibrations- periodic-motion-and-oscillations-10/energy-and-simple-harmonic-motion-95/energy-in-a-simple-harmonic-oscillator-380- 7945?campaign_content=book_5869_section_95&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Energy in a Simple Harmonic Oscillator View on Boundless.com Waves and Vibrations: Periodic Motion and Oscil... > Energy and Simple Harmonic Motion

6. In a spring system, the conservation equation is written as: [Equation 1], where X is the maximum displacement. Waves and Vibrations: Periodic Motion and Oscil... > Energy and Simple Harmonic Motion Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/waves-and-vibrations- periodic-motion-and-oscillations-10/energy-and-simple-harmonic-motion-95/energy-in-a-simple-harmonic-oscillator-380- 7945?campaign_content=book_5869_section_95&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 1 View on Boundless.com

7. The maximum velocity depends on three factors: amplitude, the stiffness factor, and mass: [Equation 2]. Waves and Vibrations: Periodic Motion and Oscil... > Energy and Simple Harmonic Motion Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics/textbooks/alternative-to-college-physics-4th-giambattista-alan-0071317945-9780071317948/waves-and-vibrations- periodic-motion-and-oscillations-10/energy-and-simple-harmonic-motion-95/energy-in-a-simple-harmonic-oscillator-380- 7945?campaign_content=book_5869_section_95&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 2 View on Boundless.com

8. Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

9. Key terms dissipative forces Forces that cause energy to be lost in a system undergoing motion. elastic potential energy The energy stored in a deformable object, such as a spring. Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil...

10. Energy in a Simple Harmonic Oscillator The transformation of energy in simple harmonic motion is illustrated for an object attached to a spring on a frictionless surface. (a) The mass has achieved maximum displacement from equilibrium. All energy is potential energy. (b) As the mass passes through the equilibrium point with maximum speed all energy in the system is in kinetic energy. (c) Once again, all energy is in the potential form, stored in the compression of the spring (in the first panel the energy was stored in the extension of the spring). (d) Passing through equilibrium again all energy is kinetic. (e) The mass has completed an entire cycle. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "Energy and the Simple Harmonic Oscillator." CC BY 3.0 http://cnx.org/content/m42244/latest/?collection=col11406/1.7 View on Boundless.comCC BY 3.0http://cnx.org/content/m42244/latest/?collection=col11406/1.7View on Boundless.com Waves and Vibrations: Periodic Motion and Oscil...

11. Experience with a simple harmonic oscillator A known mass is hung from a spring of known spring constant and allowed to oscillate. The time for one oscillation (period) is measured. This value is compared to a predicted value, based on the mass and spring constant. Free to share, print, make copies and changes. Get yours at www.boundless.com View on Boundless.com Waves and Vibrations: Periodic Motion and Oscil...

12. Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil... The total energy of the simple harmonic oscillator is constant because a simple harmonic oscillator A) has dissipative forces B) has restoring forces C) undergoes sinusoidal oscillations D) does not have dissipative forces

13. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Waves and Vibrations: Periodic Motion and Oscil... The total energy of the simple harmonic oscillator is constant because a simple harmonic oscillator A) has dissipative forces B) has restoring forces C) undergoes sinusoidal oscillations D) does not have dissipative forces

14. Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil... The total energy of the simple harmonic oscillator is A) the difference of the potential and kinetic energies B) equal to the potential energy C) equal to the kinetic energy D) the sum of the potential and kinetic energies

15. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Waves and Vibrations: Periodic Motion and Oscil... The total energy of the simple harmonic oscillator is A) the difference of the potential and kinetic energies B) equal to the potential energy C) equal to the kinetic energy D) the sum of the potential and kinetic energies

16. Attribution Connexions. "Hooke's Law: Stress and Strain Revisited." CC BY 3.0 http://cnx.org/content/m42240/latest/?collection=col11406/1.7CC BY 3.0 http://cnx.org/content/m42240/latest/?collection=col11406/1.7 Wikipedia. "Simple harmonic motion." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Simple_harmonic_motionCC BY-SA 3.0http://en.wikipedia.org/wiki/Simple_harmonic_motion Connexions. "Energy and the Simple Harmonic Oscillator." CC BY 3.0 http://cnx.org/content/m42244/latest/?collection=col11406/1.7CC BY 3.0 http://cnx.org/content/m42244/latest/?collection=col11406/1.7 Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/dissipative-forcesCC BY-SA 3.0http://www.boundless.com//physics/definition/dissipative-forces Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/elastic-potential-energyCC BY-SA 3.0http://www.boundless.com//physics/definition/elastic-potential-energy Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil...