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# hw4 - PROBLEM 3.69 A piece of plywood in which several...

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SOLUTION PROBLEM 3.69 A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12 N· m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) atA andB, (b) atB and C, (c) atA and C. " -..." -F (a) (b) (c) M =Fd 12 N·m = F(0.45 m) M=Fd 12 N·m = F(0.24 m) M =Fd Where d = ~(0.45 mf + (0.24m)2 = 0.51 m 12 N'm = F(0.51 m) or F = 26.7 N'" or F = 50.0N'" or F = 23.5 N'"

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c I- 0.8 m -f- 1.6 In -l SOLUTION l' . PROBLEM 3.80 A 700-N force P is applied at point A of a structural member. Replace P with (a) an equivalent force-couple system at C, (b) an equivalent system consisting of a vertical force at B and a second force at D. (a) Based on where IF : P e = P = 700 N or P e = 700 N L 60° .... P x = (700 N)cos60° = 350 N Py = (700 N)sin60° = 606.22 N de r: = 1.6m d ey = 1.1m . . Me = '- (350 N)(1.1 m) + (606.22 N)(1.6 m) = - 385 N ·m + 969.95 N ·m = 584.95 N·m or Me = 585N .m ) .... = (700 N)cos60° = 350N IM D: (P cos600)(d DA ) = PB(d DB) [(7 00 N)c os600J(0.6 m) = P B(2,4 m) P a = 87.5 N or P a = 87.5 N t ....
PROBLEM 3.80 CONTINUED (700 N)sin60° = 87.5 N + P Dy P Dy = 518.72 N P D = )(po>f + (PD )'t ~ )(3 50)2 + (518.72f = 625.76 N o = tan - 1(P Dy ) = tan- l (518.72) = 55.991° P Ox 350 or P D = 626 N L 56.0°'" -"

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r 4 ..5 l t _ ~ _ 7 5 1t -r 6 It l PROBLEM 3.84 fl.)
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