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Bipin Y.

August 3, 2021

What is meaning of dynamic

University of Michigan - Ann Arbor

University of Washington

Hope College

McMaster University

0:00

Aditya Panjiyar

(I) A 7150-kg railroad car travels alone on a level frictionless track with a constant speed of 15.0 m/s. A 3350-kg load, initially at rest, is dropped onto the car. What will be the car's new speed?

04:39

Muhammed Shafi

03:04

Kai Chen

03:09

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welcome to the section on Rotational Dynamics. So rotational dynamics is gonna work a lot of the same way that linear dynamics worked, where we're going to have forces, possibly multiple forces acting on a body. And we wanted to predict the motion before. Now we're gonna have multiple torques working on objects, and we want to see what that how that influences their motion. Will also consider consider single torques to start out eso, for example. I gave the sign problem just now where we said, Hey, we have a sign and there's different forces on it. What's going on here? Um, in any case, we know that net torque is equal to I times Alfa, and this is the principal equation will be using for rotational dynamics, just like how we had F Net is equal to mass times. Acceleration was the equation that we generally considered when we were doing our linear dynamics. We also had Newton's other laws, which still apply here because remember, this is R cross F on the left hand side. In fact, it's a some of our cross efs, and so we still need to worry about things like equal and opposite forces and all that sort of thing. Um, otherwise, we would have real trouble here. But the key to solving the problems is gonna be much like what has happened in the past. With dynamics, we're going to draw a free body diagram. Only now we'll have and extended free body diagram, which will be essentially the object drawn out long generally will still not have a lot of thickness to it. But we could have some thickness to it like this, and then we'll apply different forces to it, and we'll say, Okay, there's a force applied here and there's a force applied here and there's a weird one here. And then we'll have a force there and a force there and you write down all these forces And then I ask you to find out what's the angular acceleration, or are these forces balanced Now, in this particular section, we're gonna look more at dynamics, which means we will have an Alfa in the following section. Will look at rotational statics where thing we want things to balance out here. Um, but for now we'll try to stick with this equation and having angular accelerations

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