PHYSICS 181 Lecture Notes - Lecture 37: Kinematics

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Phys181 lecture 37 putting rotational and linear motion together. Rolling motion: rolling motion incorporates both linear motion and rotational kinematics, translation of center of mass, rotation is about the center of mass, rolling without sliding is given by the equation. Rolling downhill: you take a hollow cylinder and a solid cylinder of identical mass, radius and height and start them rolling at the same instant down an inclined plane. Which will reach the bottom of the plane first: the hollow cylinder, the solid cylinder, both reach the bottom simultaneously, the solid cylinder will reach the bottom first. A falling door example: a door that is 2. 0 m high and 1. 2 m wide is being held in a vertical position as a carpenter tries to attach it to its hinges. It slips from his grasp and topples over without its bottom sliding on the floor. Find the velocity of the top of the door just before it strikes the floor.

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