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Unformatted text preview: 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. &quot;...&quot;F (a) (b) (c) M =Fd 12 Nm = F(0.45 m) M=Fd 12 Nm = 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'&quot; or F = 50.0N'&quot; or F = 23.5 N'&quot; c I 0.8 mf 1.6 Inl SOLUTION l' . PROBLEM 3.80 A 700N force P is applied at point A of a structural member. Replace P with (a) an equivalent forcecouple 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) cos 60 = 350 N Py = (700 N)sin60 = 606.22 N der: = 1.6m dey = 1.1m . . Me = ' (350 N)(1.1 m) + (606.22 N)(1.6 m) = 385 N m + 969.95 N m = 584.95 Nm or Me = 585N.m ) .... = (700 N)cos60 = 350N IM D: (P cos600)(d DA ) = PB(d DB) [(700 N)cos600J(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 PDy = 518.72 N P D = )(po&gt;f + (PD )'t ~ )(350)2 + (518.72f = 625.76 N o = tan 1(P Dy ) = tan l (518.72) = 55.991 POx 350 or P D = 626 N L 56.0'&quot;&quot; r...
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This note was uploaded on 09/28/2008 for the course ENGRD 2020 taught by Professor Zehnder during the Spring '06 term at Cornell University (Engineering School).
 Spring '06
 ZEHNDER

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