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Unformatted text preview: Determine the magnitude and directional cosines of the vector. The magnitude of the vector is ( 29 ( 29 ( 29 2 2 2 700 820 900 700 820 900 1404.42 A i j k A = + = +  + = ur r r r The directional cosines are x x y y z x 700 cos 0.498 60.1 1404.42 820 cos 0.584 125.7 1404.42 900 cos 0.641 50.1 1404.42 = = = = =  = = = = o o o Check the cosines ( 29 ( 29 ( 29 2 2 2 x y z 2 2 2 cos cos cos 1 0.498 0.584 0.641 1 + + = +  + = A 700 820 900 i j k = + r r r r Cable AB is in tension, 450 lbs, determine the components of the force exerted on the plate at A. Answer x y z 0 4 ft 4 ft 4 ft 0 ft 4 ft 2 ft 9 ft 7 ft d d d = =  = = = =  ( 29 ( 29 ( 29 2 2 2 4 ft 4 ft 7 ft 4 ft 4 ft 7 ft 9 ft AB i j k AB =  + = + +  = uuur r r r The unit vector is 4 ft 4 ft 7 ft 9 ft 9 ft 9 ft 0.444 0.444 0.777 AB i j k i j k  = + =  + uuur r r r r r r The force vector is ( 29 450 lb 0.444 0.444 0.777 200 lb 200 lb 350 lb AB F F i j k i j k = = + =  + uuur r r r r r r r F x =  200 lb F y = 200 lb F z =  350 lb A weight, W, is support by three cables. Determine the value of W, A weight, W, is support by three cables....
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 Fall '08
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