Hw 7 - a couple. Further, the sense of the moment of this...

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PROBLEM 3.75 The shafts of an angle drive are acted upon by the two couples shown. Replace tbe two couples whh a single equivl:llent COUpllC, specifYing its magnitude and the direction of its axis. , SOLUTION Based on where M 1 =-(81b·ft)j M, = -{6Ib·ft)k M = -{8 lb·ft)j - (6Ib·ft)k and IMI ~ ~(8)2 + (6)' = 10 (b·ft or M~lO.OOlb·ft ... M l.=- IMI -(8 Ib·ft)J-(6 Ib·ft)k ~ IOlb·ft ~ -j).8j - 0.6k or M ~ IMIl. ~ (10 lb·ft)(-j).8j - O.6k) oosOx = 0 ex =90 0 cosBy =-0.8 By = 143 I ~OO cosO. . = -0.6 (), :::: 126.870° or (J.=90.0 Q e~=143.1° 8 z =126.9° . ...
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p A PROBLEM 3.83 The 80-N horizontal force P acts on a bell crank as shown. (a) Replace P with an equivalent force-couple system at B. (b) Find the two vertical forces at C and D that are equivalent to the couple found in Part a. C D SOLUTION JY . A (a) Based on IF: F 8 =F=80N or F 8 =80,ON--'" l:M: M B =Fd B - ./ E" ==;;::= C D ~80N (.05 m) = 4.0000 N ·m or (b) If the two vertical forces are to be equivalent to M B , they must be
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Unformatted text preview: a couple. Further, the sense of the moment of this couple must be counterclockwise. Then, with Fe and F D acting as shown, "LM: M D = Fed 4.0000 N m % Fc<.04 m) J Fe ~ 100.000 N or Fe = 100.0 N i.... F D = 100.000 N PROBLEM 3.92 A rectangular plate is acted upon by the force and couple shown. This system is to be replaced with a single equivalent force. (a) For a = 40", specify the magnitude and the line of action of the equivalent force. (b) Specify the value of aifthe line of action of the equivalent force is to intersect line CD 300 mm to the right of D. SOLUTION I f (a) The given force~couple system (F, M) at B is t! 'T" F=48Nj ~ and M = I:M B = (0.4 m)(I5 N)cos 40 0 +(0.24 m)(I5 N)sin 40 0 -~ or M==6.9103Nm ") The single equivalent force F' is equal to F. Further for equivalence r.M B : M=dF' 0' 6.9103Nm=dx48N d=0.14396m F'=48N <II and the line of action of F' intersects line AS 144 mm to the right of A. <II...
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Hw 7 - a couple. Further, the sense of the moment of this...

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