04_ChapSummary

04_ChapSummary - SUMMARY The goal of Chapter 4 has been to...

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S U M M A R Y The goal of Chapter 4 has been to learn to solve problems about motion in a plane. General Principles The instantaneous velocity is a vector tangent to the trajectory. The instantaneous acceleration is the component of parallel to is responsible for change of speed. the component of perpendicular to is responsible for change of direction. v r , a r a r ' , v r , a r a r i , a r 5 dv r / dt v r 5 dr r / dt Relative motion Inertial reference frames move relative to each other with constant velocity Measurements of position and velocity measured in frame S are related to measurements in frame by the Galilean transformations: y r 5 y 2 V y t v r y 5 v y 2 V y x r 5 x 2 V x t v r x 5 v x 2 V x S r V r . Important Concepts Uniform Circular Motion Angular velocity and are constant: The centripetal acceleration points toward the center of the circle: It changes the particle’s direction but not its speed.
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