01_InstSolManual_PDF_Part14

01_InstSolManual_PDF_Part14 - Figure 1.48 B A A x A y B y C...

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1.47. Set Up: Use coordinates for which the axis is downward. Let the two vectors be and and let the angles they make on either side of the axis be and Since the resultant, is in the direction, The two vectors and their components are shown in Figure 1.47a. Figure 1.47 Solve: (a) Since and we can conclude that and Similarly, since The vector addition diagram for is given in Figure 1.47b. (b) and and so and Reflect: The magnitude of the vector sum is less than the sum of the magnitudes 1.48. Set Up: The counterclockwise angles each vector makes with the axis are: and The components of each vector are shown in Figure 1.48a.
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Unformatted text preview: Figure 1.48 B A A x A y B y C y B x C x C u B u A u u C ( a ) ( b ) y x R y R x R y x u C 5 233°. u B 5 120° u A 5 30°, 1 x A 1 B . A S 1 B S A 1 B 5 106 N. A 5 53 N. 75 N 2 A 1 cos 45° 2 5 f A 5 f B 5 45°, A 5 B A cos f A 1 B cos f B 5 75 N. R y 5 75 N. A y 1 B y 5 R y R S 5 A S 1 B S f A 5 f B 5 45°. f A 1 f B 5 90°, f A 5 f B . sin f A 5 sin f B R x 5 0, A 5 B R x 5 A x 1 B x 5 2 A sin f A 1 B sin f B . A x A y B y B x A B y x ( a ) f B f A A R B y x ( b ) 45 ° 45 ° R x 5 0. 1 y R S 5 A S 1 B S , f B . f A 1 y B S A S 1 y 1-14 Chapter 1...
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