3 Kinematics in 2-D ay

3 Kinematics in 2-D ay - Chapter 3 Kinematics in Two...

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1 Chapter 3 Kinematics in Two Dimensions; Vectors

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2 3-1 Vectors and Scalars • A quantity that has both direction and magnitude , is a vector quantity. • Example vector quantities: displacement, velocity, acceleration, force, and momentum. • A quantity that is specified completely by giving a number and units are called a scalar . • Example scalar quantities: mass, time, and temperature.
3 3-2 Addition of Vectors – Graphical Methods

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4 3-3 Subtraction of Vectors, and Multiplication of Vectors by a Scalar
5 Adding Vectors by Components V = V 1 + V 2 V x = V 1 x + V 2 x V y = V 1 y + V 2 y

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6 3-5 Unit Vectors • Vectors can be written in terms of unit vectors. A unit vector is defined to have a magnitude exactly equal to one (1). ! r = r 2 r 1 r 1 = x 1 i + y 1 j + z 1 k r 2 = x 2 i + y 2 j + z 2 k ! r = ( x 2 x 1 ) i + ( y 2 y 1 ) j + ( z 2 z 1 ) k v = = i + j + k v = v x i + v y j + v z k d r dt dx dt dy dt dz dt
7 Vector Kinematics a = = i + j + k a = a x i + a y j + a z k d v dt dv x dt dv y dt dv z dt

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This note was uploaded on 04/23/2011 for the course JAPAN 7b taught by Professor Wallace during the Spring '11 term at Berkeley.

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3 Kinematics in 2-D ay - Chapter 3 Kinematics in Two...

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