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Area of Circular Sector r § 4 1 ·
I ¨ D sin2D ¸
4 © x 2 ¹
2 sinr D r § 4 1 ·
x x 3 D I 4 © ¨ D 2 sin2D ¸ ¹
C
y
1
I r D
2
z 2
Rectangular Area bh 3
I
x
3
bh 3
I 12
x
bh
2
b
I z 2 h
12
Triangular Area bh 3
x
ab I 12
x x 3 bh 3
C
h I 36
x
y y 3 bh 3
C
I
1 x
4

INDEX

Absolute motion, 131 Angular velocity, 111, 125
Acceleration, absolute, 132, Axiom, 24
135, 146
angular, 112, 126, 147, 151 Belt friction, 80
average, 105 Bodies, interconnected, 65
constant, 119 Body, rigid, 9, 120
Coriolis, 135
instantaneous, 106, 122 Center, of curvature, 114, 115
Action and reaction, 25 of gravity, 93, 101
Addition of vectors, 9, 28 of mass, 95
Angle, of friction, 69 Centroids, 93, 97, 155
Angular acceleration, 112, 126, Coefficient, of friction, 69
147, 151 of rolling resistance, 84
Angular displacement, 120 Collinear forces, 25, 65
156