﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.00,0:00:02.00,Default,,0000,0000,0000,,Well, let's see. How do we solve this. Dialogue: 0,0:00:02.00,0:00:06.00,Default,,0000,0000,0000,,Well, I know that the potential energy over here is going to be equal to the kinetic energy Dialogue: 0,0:00:06.00,0:00:08.00,Default,,0000,0000,0000,,it has when it passes through the equilibrium. Dialogue: 0,0:00:08.00,0:00:12.00,Default,,0000,0000,0000,,Remember at the the equilibrium point, there's no potential energy. Dialogue: 0,0:00:12.00,0:00:16.00,Default,,0000,0000,0000,,All of that energy must have been converted into kinetic energy. Dialogue: 0,0:00:16.00,0:00:19.00,Default,,0000,0000,0000,,Okay, so let's do the math. Potential energy gets converted to kinetic energy. Dialogue: 0,0:00:19.00,0:00:24.00,Default,,0000,0000,0000,,Use the appropriate equations and when I solve for V--that should be a max Dialogue: 0,0:00:24.00,0:00:25.00,Default,,0000,0000,0000,,and I'm solving for the Vmax as well. Dialogue: 0,0:00:25.00,0:00:31.00,Default,,0000,0000,0000,,I get this for an answer and plugging in the appropriate values--I get an answer of 4.5 m/s. Dialogue: 0,0:00:31.00,0:00:35.00,Default,,0000,0000,0000,,Now something that's interesting here is that this could've been positive number Dialogue: 0,0:00:35.00,0:00:39.00,Default,,0000,0000,0000,,or a negative number--a positive number would have corresponded to when the mass Dialogue: 0,0:00:39.00,0:00:44.00,Default,,0000,0000,0000,,is moving this way and negative would have corresponded to when the mass is moving that way. Dialogue: 0,0:00:44.00,0:00:48.00,Default,,0000,0000,0000,,In fact, there's a lot we can learn about simple harmonic motion by just calculating velocity, Dialogue: 0,0:00:48.00,0:00:53.00,Default,,0000,0000,0000,,keeping track of sign and plotting it on a diagram versus position. Dialogue: 0,0:00:53.00,9:59:59.99,Default,,0000,0000,0000,,What do I mean by that? Well, I'll show you.