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1 Boundless Lecture Slides Free to share, print, make copies and changes. Get yours at www.boundless.com Available on the Boundless Teaching Platform

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

3 Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com.boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com About Boundless

4 The Simple Pendulum Simple Pendulums Waves and Vibrations: Periodic Motion and Oscil... > Simple Pendulums Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/physics?campaign_content=book_5869_section_97&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=di rect&utm_source=boundless

5 A simple pendulum is defined as an object that has a small mass, also known as the pendulum bob, which is suspended from a wire or string of negligible mass. When displaced, a pendulum will oscillate around its equilibrium point due to momentum in balance with the restoring force of gravity. The Simple Pendulum 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/simple-pendulums-97/the-simple-pendulum-383- 8324?campaign_content=book_5869_section_97&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Simple Pendulum View on Boundless.com Waves and Vibrations: Periodic Motion and Oscil... > Simple Pendulums

6 When the swings (amplitudes) are small, less than about 15º, the pendulum acts as a simple harmonic oscillator with period [Equation 1], where L is the length of the string and g is the acceleration due to gravity. Waves and Vibrations: Periodic Motion and Oscil... > Simple Pendulums 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/simple-pendulums-97/the-simple-pendulum-383- 8324?campaign_content=book_5869_section_97&campaign_term=Physics&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 1 View on Boundless.com

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

8 Key terms simple pendulum A hypothetical pendulum consisting of a weight suspended by a weightless string. Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil...

9 Simple Pendulum A simple pendulum has a small-diameter bob and a string that has a very small mass but is strong enough not to stretch appreciably. The linear displacement from equilibrium is s, the length of the arc. Also shown are the forces on the bob, which result in a net force of −mgsinθ toward the equilibrium position—that is, a restoring force. Free to share, print, make copies and changes. Get yours at www.boundless.com Connexions. "The Simple Pendulum." CC BY 3.0 http://cnx.org/content/m42243/latest/?collection=col11406/1.7 View on Boundless.comCC BY 3.0http://cnx.org/content/m42243/latest/?collection=col11406/1.7View on Boundless.com Waves and Vibrations: Periodic Motion and Oscil...

10 Pendulums A brief introduction to pendulums (both ideal and physical) for calculus-based physics students from the standpoint of simple harmonic motion. 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...

11 Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil... A simple pendulum has an object with a A) negligible mass suspended from a wire or string of small mass B) large mass suspended from a wire or string of negligible mass C) small mass suspended from a wire or string of negligible mass D) large mass suspended from a wire or string of small mass

12 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... A simple pendulum has an object with a A) negligible mass suspended from a wire or string of small mass B) large mass suspended from a wire or string of negligible mass C) small mass suspended from a wire or string of negligible mass D) large mass suspended from a wire or string of small mass

13 Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil... The only parameters that affect the period of a simple pendulum A) its mass and the acceleration due to gravity B) its length and mass C) mass D) its length and the acceleration due to gravity

14 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 only parameters that affect the period of a simple pendulum A) its mass and the acceleration due to gravity B) its length and mass C) mass D) its length and the acceleration due to gravity

15 Attribution Connexions. "The Simple Pendulum." CC BY 3.0 http://cnx.org/content/m42243/latest/?collection=col11406/1.7CC BY 3.0http://cnx.org/content/m42243/latest/?collection=col11406/1.7 Wikipedia. "Simple pendulum." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Simple_pendulumCC BY-SA 3.0http://en.wikipedia.org/wiki/Simple_pendulum Wiktionary. "simple pendulum." CC BY-SA 3.0 http://en.wiktionary.org/wiki/simple+pendulumCC BY-SA 3.0http://en.wiktionary.org/wiki/simple+pendulum Free to share, print, make copies and changes. Get yours at www.boundless.com Waves and Vibrations: Periodic Motion and Oscil...


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