logging in or signing up elasticity vikram_pre Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 865 Category: Entertainment License: All Rights Reserved Like it (1) Dislike it (0) Added: December 04, 2008 This Presentation is Public Favorites: 0 Presentation Description know more about elasticity Comments Posting comment... By: manyuroxx (13 month(s) ago) it will be helpful for my studies. kindly mail it to me or allow to download Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Physics 101: Lecture 20 Elasticity and Oscillations : Physics 101: Lecture 20 Elasticity and Oscillations Today’s lecture will cover Textbook Chapter 10.5-10.10 Review Energy in SHM : Review Energy in SHM A mass is attached to a spring and set to motion. The maximum displacement is x=A Energy = U + K = constant! = ½ k x2 + ½ m v2 At maximum displacement x=A, v = 0 Energy = ½ k A2 + 0 At zero displacement x = 0 Energy = 0 + ½ mvm2 ½ k A2 = ½ m vm2 vm = (k/m) A Analogy with gravity/ball 05 Kinetic Energy ACT : Kinetic Energy ACT In Case 1 a mass on a spring oscillates back and forth. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation are the same as in Case 1. In which case is the maximum kinetic energy of the mass bigger? A. Case 1 B. Case 2 C. Same 09 Potential Energy ACT : Potential Energy ACT In Case 1 a mass on a spring oscillates back and forth. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation are the same as in Case 1. In which case is the maximum potential energy of the mass and spring bigger? A. Case 1 B. Case 2 C. Same 12 Velocity ACT : Velocity ACT In Case 1 a mass on a spring oscillates back and forth. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation are the same as in Case 1. Which case has the larger maximum velocity? 1. Case 12. Case 23. Same 16 Simple Harmonic Motion:Quick Review : Simple Harmonic Motion:Quick Review x(t) = [A]cos(t) v(t) = -[A]sin(t) a(t) = -[A2]cos(t) x(t) = [A]sin(t) v(t) = [A]cos(t) a(t) = -[A2]sin(t) xmax = A vmax = A amax = A2 Period = T (seconds per cycle) Frequency = f = 1/T (cycles per second) Angular frequency = = 2f = 2/T OR 19 Natural Period T of a Spring : Natural Period T of a Spring Simple Harmonic Oscillator w = 2 p f = 2 p / T x(t) = [A] cos(wt) v(t) = -[Aw] sin(wt) a(t) = -[Aw2] cos(wt) Draw FBD write F=ma 23 Period ACT : Period ACT If the amplitude of the oscillation (same block and same spring) is doubled, how would the period of the oscillation change? (The period is the time it takes to make one complete oscillation) A. The period of the oscillation would double.B. The period of the oscillation would be halvedC. The period of the oscillation would stay the same +2A t -2A x 27 Equilibrium position and gravity : Equilibrium position and gravity If we include gravity, there are two forces acting on mass. With mass, new equilibrium position has spring stretched d 31 Vertical Spring ACT : Vertical Spring ACT Two springs with the same k but different equilibrium positions are stretched the same distance d and then released. Which would have the larger maximum kinetic energy? 1) M 2) 2M 3) Same Y=0 Y=0 33 Pendulum Motion : Pendulum Motion For small angles m L x T mg 37 q Preflight 1 : Preflight 1 Suppose a grandfather clock (a simple pendulum) runs slow. In order to make it run on time you should: 1. Make the pendulum shorter 2. Make the pendulum longer 38 Elevator ACT : Elevator ACT A pendulum is hanging vertically from the ceiling of an elevator. Initially the elevator is at rest and the period of the pendulum is T. Now the pendulum accelerates upward. The period of the pendulum will now be A. greater than T B. equal to T C. less than T 42 Preflight : Preflight Imagine you have been kidnapped by space invaders and are being held prisoner in a room with no windows. All you have is a cheap digital wristwatch and a pair of shoes (including shoelaces of known length). Explain how you might figure out whether this room is on the earth or on the moon 50 Summary : Summary Simple Harmonic Motion Occurs when have linear restoring force F= -kx x(t) = [A] cos(wt) v(t) = -[Aw] sin(wt) a(t) = -[Aw2] cos(wt) Springs F = -kx U = ½ k x2 w = sqrt(k/m) Pendulum (Small oscillations) w = (g/L) 50 You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
elasticity vikram_pre Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 865 Category: Entertainment License: All Rights Reserved Like it (1) Dislike it (0) Added: December 04, 2008 This Presentation is Public Favorites: 0 Presentation Description know more about elasticity Comments Posting comment... By: manyuroxx (13 month(s) ago) it will be helpful for my studies. kindly mail it to me or allow to download Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Physics 101: Lecture 20 Elasticity and Oscillations : Physics 101: Lecture 20 Elasticity and Oscillations Today’s lecture will cover Textbook Chapter 10.5-10.10 Review Energy in SHM : Review Energy in SHM A mass is attached to a spring and set to motion. The maximum displacement is x=A Energy = U + K = constant! = ½ k x2 + ½ m v2 At maximum displacement x=A, v = 0 Energy = ½ k A2 + 0 At zero displacement x = 0 Energy = 0 + ½ mvm2 ½ k A2 = ½ m vm2 vm = (k/m) A Analogy with gravity/ball 05 Kinetic Energy ACT : Kinetic Energy ACT In Case 1 a mass on a spring oscillates back and forth. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation are the same as in Case 1. In which case is the maximum kinetic energy of the mass bigger? A. Case 1 B. Case 2 C. Same 09 Potential Energy ACT : Potential Energy ACT In Case 1 a mass on a spring oscillates back and forth. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation are the same as in Case 1. In which case is the maximum potential energy of the mass and spring bigger? A. Case 1 B. Case 2 C. Same 12 Velocity ACT : Velocity ACT In Case 1 a mass on a spring oscillates back and forth. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation are the same as in Case 1. Which case has the larger maximum velocity? 1. Case 12. Case 23. Same 16 Simple Harmonic Motion:Quick Review : Simple Harmonic Motion:Quick Review x(t) = [A]cos(t) v(t) = -[A]sin(t) a(t) = -[A2]cos(t) x(t) = [A]sin(t) v(t) = [A]cos(t) a(t) = -[A2]sin(t) xmax = A vmax = A amax = A2 Period = T (seconds per cycle) Frequency = f = 1/T (cycles per second) Angular frequency = = 2f = 2/T OR 19 Natural Period T of a Spring : Natural Period T of a Spring Simple Harmonic Oscillator w = 2 p f = 2 p / T x(t) = [A] cos(wt) v(t) = -[Aw] sin(wt) a(t) = -[Aw2] cos(wt) Draw FBD write F=ma 23 Period ACT : Period ACT If the amplitude of the oscillation (same block and same spring) is doubled, how would the period of the oscillation change? (The period is the time it takes to make one complete oscillation) A. The period of the oscillation would double.B. The period of the oscillation would be halvedC. The period of the oscillation would stay the same +2A t -2A x 27 Equilibrium position and gravity : Equilibrium position and gravity If we include gravity, there are two forces acting on mass. With mass, new equilibrium position has spring stretched d 31 Vertical Spring ACT : Vertical Spring ACT Two springs with the same k but different equilibrium positions are stretched the same distance d and then released. Which would have the larger maximum kinetic energy? 1) M 2) 2M 3) Same Y=0 Y=0 33 Pendulum Motion : Pendulum Motion For small angles m L x T mg 37 q Preflight 1 : Preflight 1 Suppose a grandfather clock (a simple pendulum) runs slow. In order to make it run on time you should: 1. Make the pendulum shorter 2. Make the pendulum longer 38 Elevator ACT : Elevator ACT A pendulum is hanging vertically from the ceiling of an elevator. Initially the elevator is at rest and the period of the pendulum is T. Now the pendulum accelerates upward. The period of the pendulum will now be A. greater than T B. equal to T C. less than T 42 Preflight : Preflight Imagine you have been kidnapped by space invaders and are being held prisoner in a room with no windows. All you have is a cheap digital wristwatch and a pair of shoes (including shoelaces of known length). Explain how you might figure out whether this room is on the earth or on the moon 50 Summary : Summary Simple Harmonic Motion Occurs when have linear restoring force F= -kx x(t) = [A] cos(wt) v(t) = -[Aw] sin(wt) a(t) = -[Aw2] cos(wt) Springs F = -kx U = ½ k x2 w = sqrt(k/m) Pendulum (Small oscillations) w = (g/L) 50