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Come And Create Your Exciting Oscillations!
- 1. Newton, Hooke, Faraday, And Beyond? Adarsh Ganesan, Ph.D. adarsh.ganesan@cantab.net 24th November 2018
- 2. Most Celebrated Scientists of All Time! HookeNewton Faraday
- 3. Do you want to be the NEXT? Most Celebrated Scientists of All Time! HookeNewton Faraday
- 4. Then, Start Off With Newton’s Law!
- 5. And That’s Newton’s Law! 𝐹 = 𝑚𝑎
- 6. But What This Actually Means? 𝐹 = 𝑚𝑎
- 7. 𝐹 = 𝑚𝑎 Take A Ball!
- 8. That Tells You What 𝑚 Is! 𝐹 = 𝑚𝑎
- 9. But What Is 𝑎? 𝐹 = 𝑚𝑎
- 10. 𝑎 Is Acceleration 𝐹 = 𝑚𝑎
- 11. But What Is Acceleration? 𝐹 = 𝑚𝑎
- 12. Acceleration Is The Rate Of Change Of Speed! 𝐹 = 𝑚𝑎
- 13. And Speed Is The Rate Of Change Of Distance! 𝐹 = 𝑚𝑎
- 14. And Speed Is The Rate Of Change Of Distance! And I Am Sure You Know This! 𝐹 = 𝑚𝑎
- 15. In Simple Terms, 𝐹 = 𝑚𝑎
- 16. 𝑎 = 2𝑥/𝑡2 In Simple Terms, Newton Says, If You Have Not Seen The Expression 𝑎 = 2𝑥 𝑡2 Before, Then Use Calculus To Arrive At The Same – Hint: a = 𝑑2 𝑥 𝑑𝑡2 ⇒ 𝑥 = 0 𝑡 𝑎 𝑑𝑡𝑑𝑡 𝐹 = 𝑚𝑎
- 17. 𝑎 = 2𝑥/𝑡2 In Simple Terms, Newton Says, Here, 𝑥 Is Distance, 𝐹 = 𝑚𝑎
- 18. 𝑎 = 2𝑥/𝑡2 In Simple Terms, Newton Says, Here, 𝑥 Is Distance And, 𝑡 Is Time 𝐹 = 𝑚𝑎
- 19. 𝐹 = 2𝑚𝑥/𝑡2 So We Have A New Form Of Newton’s Law!
- 20. 𝐹 Push It With Force 𝐹! 𝐹 = 2𝑚𝑥/𝑡2
- 21. 𝐹 𝑥 The Ball Moves A Distance 𝑥 After Time 𝑡 𝐹 = 2𝑚𝑥/𝑡2
- 22. 𝐹 = 2𝑚𝑥/𝑡2 Newton, “That’s My Formula!”
- 23. But You Can Use It!
- 24. Generous Newton!
- 25. So Heard Of Newton’s Law?
- 27. So This Is Newton’s Law! 𝐹 = 𝑚𝑎
- 28. But Who Cares About Newton’s Law?
- 29. The Entire Transportation Industry Cares!
- 30. And These Renowned Scientists! Left: Stephen Hawking; Right: Jocelyn Burnell
- 31. So, If You Wanna Be A Renowned Scientist,
- 32. So If You Wanna Be A Renowned Scientist, Then You Should Care About Newton’s Law!
- 33. Is Newton’s Law Enough?
- 34. Go Ahead! Keep Overwhelming Me! Is Newton’s Law Enough?
- 35. Not To Overwhelm You, But To Help You Out!
- 36. Every Law Is There For A Reason!
- 37. Newton’s Law Is Not Always Enough!
- 38. For Instance, Heard Of Oscillations?
- 39. Seen The Swing Move Back And Forth?
- 40. This Back And Forth Motion Is What We Call ‘Oscillations’
- 44. Hooke
- 46. But The Collaborative Spirit?
- 47. But The Collaborative Spirit Worked!
- 48. A New Equation Was Born! 𝐹 = 𝑚𝑎 + 𝑘𝑥
- 49. And This New Equation Can Explain ‘Oscillations’ 𝐹 = 𝑚𝑎 + 𝑘𝑥
- 50. Really?
- 51. Who Are You?
- 52. Faraday, The Father Of Electrical Magnets!
- 53. Faraday, “This Equation Cannot Explain All Kinds Of ‘Oscillations’ In The Planet!” 𝐹 = 𝑚𝑎 + 𝑘𝑥
- 54. Faraday, “It Can Only Explain 𝐹 = 𝑚𝑎 + 𝑘𝑥
- 55. Faraday, “It Can Only Explain ‘Ordinary Oscillations’!” 𝐹 = 𝑚𝑎 + 𝑘𝑥
- 58. Left Center Right Let Me Label The Regions As ‘Right’, ‘Center’ And ‘Left’!
- 59. Where The Kid On The Swing Is, At Different Times? Left Center Right
- 60. ANY GUESS? Where The Kid On The Swing Is, At Different Times? Left Center Right
- 61. The Kid Switches Between Left And Right! Left Center Right
- 62. And Graphically, It Looks Like This! Left Center Right Time Left Center Right
- 63. But Do You Know What This Is? Left Center Right Left Center Right Time
- 64. The Time Period Of Oscillations T Left Center Right Left Center Right Time
- 65. As The Applied Force F Is Varied, 𝐹 Force Left Center Right TLeft Center Right Time
- 66. If T Stays The Same … T As The Applied Force F Is Varied, Left Center Right Time 𝐹 Force Left Center Right
- 67. Then, Your Oscillations Are ‘Ordinary’! TLeft Center Right Time 𝐹 Force Left Center Right
- 68. Do You Like ‘Ordinary’ Things?
- 69. NO! Do You Like ‘Ordinary’ Things?
- 70. So, Before Too Long, Let Us Go And Look At The Faraday’s Cool Stuff!
- 71. 𝐹 = 𝑚𝑎 + 𝑘𝑥 Faraday, “This Equation Can Only Explain ‘Ordinary Oscillations’!” Newton Hooke
- 73. Remember?
- 75. As The Applied Force F Is Varied, ‘Ordinary Oscillations’
- 76. As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Stays The Same … ‘Ordinary Oscillations’
- 77. Note This Statement! As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Stays The Same …
- 78. But, This Statement Is True Only If, As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Stays The Same …
- 79. As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Stays The Same … Applied Force F Is Small! But, This Statement Is True Only If,
- 80. So What If The Force F Is BIG?
- 83. As The Applied Force F Is Varied, ‘Extraordinary Oscillations’
- 84. As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Does Not Stay The Same … ‘Extraordinary Oscillations’
- 85. Let Me Repeat!
- 86. As The Applied Force F Is Varied, ‘Extraordinary Oscillations’
- 87. As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Does Not Stay The Same … ‘Extraordinary Oscillations’
- 88. As The Applied Force F Is Varied, The Time Period Of Oscillations ‘T’ Does Not Stay The Same … And Note This Part! ‘Extraordinary Oscillations’
- 89. And There Can Be Many ‘Extraordinary Oscillations’ In The Planet!
- 90. But What Are Faraday’s Own ‘Extraordinary’ Oscillations?
- 91. For A BIG Force F,
- 92. The Time Period Of Oscillations ‘T’ ??? For A BIG Force F,
- 93. The Time Period Of Oscillations ‘T’ Enlarges! For A BIG Force F,
- 94. And Hence,
- 95. And Hence, The Oscillations Become ‘Extraordinary’!
- 97. And These ‘Extraordinary’ Ones Are Faraday’s ‘Slowed Down Oscillations’
- 98. How Do The ‘Slowed Down Oscillations’ Look?
- 99. 𝐹SMALL 𝐹MEDIUM T Time LARGE 𝐹 These Are Ordinary Ones! The Time Period Of Oscillations Stays Constant With Applied Force! Only The Amplitude Of Oscillations Increases With Applied Force!
- 100. But For The Xtra-Large Force … XTRA- LARGE 𝐹 ? 𝐹SMALL 𝐹MEDIUM T LARGE 𝐹 Time
- 101. ‘Slowed Down Oscillations’ Appear! Time 𝐹 The Time Period, All Of A Sudden, Enlarges! 𝐹SMALL 𝐹MEDIUM T LARGE 𝐹 XTRA- LARGE
- 103. The Faraday’s Extraordinary Oscillations Are Simply These Slowed Down Oscillations! 𝐹XTRA- LARGE
- 104. How To Explain These Slowed Down Oscillations? 𝐹XTRA- LARGE
- 105. 𝐹 = 𝑚𝑎 + 𝑘𝑥 Using This Equation? Newton Hooke
- 106. No, This Doesn’t Work! 𝐹 = 𝑚𝑎 + 𝑘𝑥 Newton Hooke
- 107. Add Another Law To Explain The Slowed Down Oscillations 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday To know more about SLOWED DOWN OSCILLATIONS, search ‘Parametric Resonance’
- 108. Can This Equation Explain Slowed Down Oscillations Only??? 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 109. No, Not Really! 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 110. That’s Me! 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 111. I Proved That This Equation Can Very Well Explain Different ‘Extraordinary Oscillations’! 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 112. And Those ‘Extraordinary Oscillations’ Are Quite Different From The Slowed Down Ones! 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 113. And Are Actually … 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 114. And Are Actually ‘Exciting’ Ones! To know more about EXCITING OSCILLATIONS, search ‘Phononic Frequency Combs’ 𝐹 = 𝑚𝑎 + 𝑘𝑥 + 𝜒𝑥𝐹 Newton Hooke Faraday
- 117. Slowed Down Oscillations! Ordinary Oscillations! FIELD OF OSCILLATIONS
- 118. My Exciting Oscillations! Slowed Down Oscillations! Ordinary Oscillations! FIELD OF OSCILLATIONS
- 119. And Your Exciting Oscillations! Slowed Down Oscillations! Ordinary Oscillations! FIELD OF OSCILLATIONS
- 120. Why Care About Oscillations?
- 121. Do You Care About This?
- 122. You Care About This! To know more about this, search ‘MEMS oscillator’, ‘MEMS’, ‘Frequency Reference’
- 123. But This Fellow Loves Good ‘Oscillations’ You Care About This! To know more about this, search ‘MEMS oscillator’, ‘MEMS’, ‘Frequency Reference’
- 124. Can You Create Good ‘Oscillations’?
- 127. And GPS Satellites Require High Accurate Clocks All The Time!
- 128. Any Examples For Good Oscillations?
- 129. It Can Be Faraday’s ‘Slowed Down Oscillations’
- 130. Or It Can Be My ‘Exciting Oscillations’!
- 131. Or It Can Be One Of Those Oscillations Which …
- 132. Or It Can Be One Of Those Oscillations Which ‘You Are Gonna Discover’!
- 133. If You Happen To Discover One Good Oscillation,
- 134. Then You Create The Powerful New ‘Clocks’!
- 135. Or Produce The Completely Unprecedented ‘TECHNOLOGIES FOR THE FUTURE’! The technologies, which are beyond my imagination!
- 136. And Become The Father/Mother Of Those ‘TECHNOLOGIES’!
- 137. And Feature As The NEXT ONE On The List!
- 138. So Come And Create Your Exciting Oscillations!
- 139. Newton, Hooke, Faraday, And (Maybe You)?