ClassProblems-lecture3

# ClassProblems-lecture3 - Determine the magnitude and...

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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 θ θ θ θ θ θ = = =- = = - = = = = 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 θ θ θ + + = + - + = 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 λ- = +- = - +- 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 λ = =- +- = - +- 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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ClassProblems-lecture3 - Determine the magnitude and...

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