# Differences

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 phy131studiof15:lectures:chapter16 [2015/07/22 11:03]mdawber [A vertical spring] phy131studiof15:lectures:chapter16 [2015/10/31 12:15] (current)mdawber [Energy in SHM] Both sides previous revision Previous revision 2015/10/31 12:15 mdawber [Energy in SHM] 2015/10/31 12:12 mdawber [Simple Pendulum] 2015/10/31 12:09 mdawber [Equations of motion for SHM] 2015/07/22 11:03 mdawber [A vertical spring] 2015/07/22 11:03 mdawber [A vertical spring] 2015/07/22 11:02 mdawber [Simple harmonic motion with multiple springs] 2015/07/22 11:00 mdawber created Next revision Previous revision 2015/10/31 12:15 mdawber [Energy in SHM] 2015/10/31 12:12 mdawber [Simple Pendulum] 2015/10/31 12:09 mdawber [Equations of motion for SHM] 2015/07/22 11:03 mdawber [A vertical spring] 2015/07/22 11:03 mdawber [A vertical spring] 2015/07/22 11:02 mdawber [Simple harmonic motion with multiple springs] 2015/07/22 11:00 mdawber created Line 13: Line 13: {{shmvspring.png}} {{shmvspring.png}} + When the system is in equilibrium + + $kx_{0}=mg$ + + so + + $x_{0}=\frac{mg}{k}$ ===== SHM as a function of time ===== ===== SHM as a function of time ===== Line 42: Line 49: $T=2\pi\sqrt{\frac{m}{k}}$ ​ $T=2\pi\sqrt{\frac{m}{k}}$ ​ + + ===== 16.P.003 ===== + + ===== 16.P.008 ===== + + ===== 16.P.021 ===== + + + ===== Energy in SHM ===== ===== Energy in SHM ===== Line 50: Line 66: $v=\pm\sqrt{\frac{k}{m}(A^{2}-x^{2})}$ $v=\pm\sqrt{\frac{k}{m}(A^{2}-x^{2})}$ + + ===== 16.P.044 ===== ===== Simple harmonic motion with multiple springs ===== ===== Simple harmonic motion with multiple springs ===== Line 114: Line 132: [[https://​www.youtube.com/​watch?​v=kBqjbZeAN9g|Video of many carefully arranged pendula]] [[https://​www.youtube.com/​watch?​v=kBqjbZeAN9g|Video of many carefully arranged pendula]] + + ===== 16.P.029 =====