Lect17 - Physics 101 Lecture 17 Rotational Dynamics q Re w...

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Physics 101: Lecture 17, Pg 1 Physics 101: Physics 101: Lecture 17 Lecture 17 Rotational Dynamics Rotational Dynamics Review of the last lecture on Rotational Kinematics and Rolling Motion and the Vector Nature of Angular Variables Today’s lecturewill cover Textbook Sections 9.1 - 9.3
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Physics 101: Lecture 17, Pg 2 But first for something completely different … But first for something completely different … The Quantum and the Cosmos By Rocky Kolb Today, 4:30 pm, 114 Hochstetter Dark matter ? Dark Energy ? How did our universeevolveout of a formless, shapeless quantum soup of “elementary” particles ?
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Physics 101: Lecture 17, Pg 3 Rotation Summary (with comparison to 1-D linear kinematics) Angular Linear constant = α t α ω ω 0 + = θ θ ϖ α = + + 0 0 2 1 2 t t constant a = v v at = + 0 x x v t at = + + 0 0 2 1 2 And for a point at a distance R from the rotation axis: x = R θ v = ϖ R a = α R See text: chapter 8 See Table 8.1 Δθ 2 2 2 0 α ϖ ϖ + = x 2a v v 2 2 0 + =
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Physics 101: Lecture 17, Pg 4 Rolling Motion Rolling Motion Rolling motion involves both linear and rotational motion. If there is no slipping at the point of contact with the ground, the motion of an automobile tire is an example for rolling motion.
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