Chapter 3b Lecture (Vectors)

Chapter 3b Lecture (Vectors) - General Physics I General...

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Unformatted text preview: General Physics I General Physics I Vectors Vectors Geometry Geometry b a B A A B = a b A a = B b Trigonometry Trigonometry a b h A B H a A = b B a A = h H b B = h H Trigonometry Trigonometry θ opposite adjacent hypotenuse opposite sin = θ hypotenuse adjacent cos = θ hypotenuse opposite tan = θ adjacent Vectors Vectors V θ x y V y V x x V cos = θ V y V sin = θ V y V = V× sin θ x V = V× cos θ Vectors Vectors • A force of 20 Newtons acts on an object at an angle of 25° above the x-axis. Find the x and y-components of the force. 20 N 25° x y F y F x x F = 20cos25° x F = 18.1 N y F = 20sin25° y F = 8.45 N Vectors Vectors 20 N 25° x y F y F x r F= (18.1, 8.45) N ˆ ˆ r F= 18.1x + 8.45y r F= 18.1 i+ 8.45 j Notation Adding Vectors Adding Vectors • Add the vectors A=(3,5) N and B = (2,7) N r r A+ B= (3, 5)+ (2, 7) r r A+ B= (3+ 2, 5+ 7) r r A+ B= (5, 12) N Adding Vectors Adding Vectors x y r 1 1 1 1 1 F = (F cos , F sin ) θ θ r 2 2 2 2 2 F = (F cos , F sin ) θ θ r 1 F r 2 F r r 1 2 1 1 2 2 1 1 2 2 F + F = (F cos + F cos , F sin + F sin ) θ θ θ θ Question Question...
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This note was uploaded on 09/04/2008 for the course PHYS 201 taught by Professor Durig during the Spring '08 term at VCU.

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Chapter 3b Lecture (Vectors) - General Physics I General...

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