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08_ChapSummary

08_ChapSummary - • The radial component changes the...

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orbit fictitious force S U M M A R Y The goal of Chapter 8 has been to learn to solve problems about motion in a plane. General Principles Newton’s Second Law Expressed in x - and y -component form: ( F net ) y 5 a F y 5 ma y ( F net ) x 5 a F x 5 ma x Expressed in rtz -component form: ( F net ) z 5 a F z 5 0 ( F net ) t 5 a F t 5 b 0 uniform circular motion ma t nonuniform circular motion ( F net ) r 5 a F r 5 ma r 5 mv 2 r 5 m v 2 r Important Concepts rtz -coordinates Uniform Circular Motion v is constant. points toward the center of the circle. The centripetal acceleration points toward the center of the circle. It changes the particle’s direction but not its speed. a r F r net Nonuniform Circular Motion v changes. is parallel to
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Unformatted text preview: • The radial component changes the particle’s direction. • The tangential component changes the particle’s speed. a t a r F r net . a r Angular velocity Angular acceleration a t 5 a r a 5 d v / dt v t 5 v r v 5 d u / dt Applications Orbits A circular orbit has radius r if v 5 " rg Loops Circular motion requires a net force pointing to the center. n must be for the object to be in contact with a surface. . Terms and Notation v r F net r a r v r F net r a a r a t r t r z F G r F G r F G r v s r r u v n r n r F net r F net r F G r F G r...
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