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assignment3 solution - Assignment 3 ES230 Key solutions...

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Assignment 3 ES230 Key solutions Problem 3.1 A 90-N force is applied to the control rod AB as shown. Knowing that the length of the rod is 225 mm, determine the moment of the force about point B by resolving the force into components along AB and in a direction perpendicular to AB .
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Problem 3.5 A 2.9-lb force P is applied to the lever which controls the auger of a snowblower. Determine the value of α knowing that the moment of P about A is counterclockwise and has a magnitude of 17 lb in. Solution 5. By definition / sin A B A M r P θ = where ( 29 90 θ φ α = + ° - and 1 4.8 in. tan 3.4 in. φ - = 54.689 = ° Also ( 29 ( 29 2 2 / 3.4 in. 4.8 in. B A r = + 5.8822 in. = Then ( 29 ( 29 ( 29 ( 29 17 lb in. 5.8822 in. 2.9 lb sin 54.689 90 α = ° + ° - or ( 29 sin 144.689 0.99658 α ° - = or 144.689 85.260 ; 94.740 α ° - = ° ° 49.9 , 59.4 α = ° ° t
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Problem 3.10 It is known that a force with a moment of 7840 lb in. about D is required to straighten the fence post CD . If 8 a = in., 35 b = in., and 112 d = in., determine the tension that must be developed in the cable of winch puller AB to create the required moment about point D .
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Problem 3.23
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