HW2 - PROBLEM 2.21 Determine the x and y components of each...

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Unformatted text preview: PROBLEM 2.21 Determine the x and y components of each of the forces shown. It ' SOLUTION 20 KM Forte: F‘ = {(20 kN)cos40°, F\ = 15.32 kN ‘ E = +{20 kN)sin40=. F“ =12.86kN 4 3 F) kN Force: F3 2 7(30 kN)cns7[)“, R = 40-261“ ‘ F], : +[30 kN}sin70”. F, : 28.2kN 4 42 M" Farm: fl = —(42 kN)cosZU°. FY = 7395 W 4 F = +(42 kN]sinZO“, F‘. = 14,36 kN 4 / L—wm PROBLEM 2.23 Determine the x andrv componems of each ofthc forces shown. SOLUTION ‘ 1443M a—FEEM [\ _" We compute the following distances: 1—" 1 1 ()5 : (56)“ + (90)' ff 0C e V‘TRU)‘ + (60)' Then: 2041b Forfc: 1-; = —(1021b]fl1 102 90 F : 1021b 7, 212 [1; Fame: F. = +[2121b)—5-6, 106 9 F. e 421211070, [06 400 fb Force: Fr : —(4001b)fl, - 100 60 F = — 4001b —‘ t )100 : 106 in. : 100111. F‘. = —48‘0 lb 4 11 : 90.0 lb 4 1'“ = 112.0 lb 4 F‘. = 180.0 lb 4 1; = 7320 lb 4 13 z —240 lb 4 I) PROBLEM 2.41 Boom AB is held in the position shown by three cables» Knowing that the tenstons tn cables .4(‘ and AI) are 4 kN and 5.2 kN, respectively. determine (a) the tension 1n cable A13 if the resultant of the tensions exerted at point A of the boom must be directed along AB. (b) the cm‘responding magnitude ofthe resultant, Choose I—axis along bar/113. Then (a) Require OF R :2.“ :0: I ::F (4 kN)c0525° + (5.2 kN)sin35° 7 msinssa 7’ 0 \ T” _ 7.2909 kN .\ 7[4 kl\l)sil125c — (5.2 kN)cos35° 7 [7.2909 kN )cos 65D w9.03 kN LL : 7.29 kN 4 113‘ z 9.03 RN 4 ...
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HW2 - PROBLEM 2.21 Determine the x and y components of each...

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