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Assignment___3___1.3_A_-_F - CIVE 335 1.3.A Due Date...

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CIVE 335 Due Date 9-4-08 Assignment # 3 Problem 1.3 A - D p.18 NAME (Last, First) 1.3.A By constructing the parallelogram of forces, determine the resultants for the pairs of forces. 40 lb Pythagorean Theorem: + = 90º = = 80.62 lb 70 lb 40 lb R tan (ø) = 40 lb / 70 lb ) ø 70 lb ø = = 1.3.B By constructing the parallelogram of forces, determine the resultants for the pairs of forces. 50 lb Law of cosine: C = + - 2AB cos c R = 80 lb R = = 120.65 lb 50 lb 135 Law of sine: ) ø R 50 lb 120.65 lb 80 lb sin (ø) sin (135 ) 50 sin (135 ) = ø = = 1.3.C By constructing the parallelogram of forces, determine the resultants for the pairs of forces. 30 lb Pythagorean Theorem: + = 90º = R = 94.87 lb 90 lb ) ø tan (ø) = 30 lb / 90 lb 30 lb R ø = ø = 1.3.D By constructing the parallelogram of forces, determine the resultants for the pairs of forces. 60 lb Law of cosine: C = + - 2AB cos c 100 lb R = 100 lb R = = 140 lb ø R Law of sine: 60 lb 100 lb 140 lb sin (ø) sin (120 ) 100 lb x sin (120 ) = 140 lb xsin (ø) ø = = 38.21 A 2 B 2 C 2 R 2 (40 lb) 2 + (70 lb) 2 tan -1 (40 / 70 ) 29.74 A 2 B 2 45 (50 lb) 2 + (80 lb) 2 - 2 x 50 lb x 80 lb x cos (135 ) 8,900 lb 2 - 8,000 lb 2 cos (135 ) = 120.65 sin (ø ) sin -1 [50 sin(135 ) / 120.65]
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