2-38. If - 30 and the resultant force acting on the gusset plate is directed along the positive x axis, determine the magnitudes of F, and the resultant force. F-4AN F-5KN

Elements Of Electromagnetics
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11:0Y I
->
Chapte..
2-38. If - 30° and the resultant force acting on the
gusset plate is directed along the positive x axis, determine
the magnitudes of F, and the resultant force.
F-5 kN
Rectangular Components By referring to Fig a, thes and ycomponents of F. F2. F, nd F cn be written as
(5), 4sin 30° = 2N
(F- on 30 - 0.8660
(Fily-4 a30 - 3.464N
(F2)y - sin30 -0.Sr
FRx - FR
(FRy =0
Resultant Foreer Summing the force components algebraically along the rand yaxes,
+tzFRly = F: 0=-3464 + 0.5 -3
= 1299 kN = 129KN
FR) = IF FR=-2+ 086612.93)+4
-13.2 kN
Ans
(Fix
FR
30
(b)
F=5 KN
Fa4 kN
(a)
alutions 44918 1/21/09 12:01 PM Page 40
O 2010 Pearson Education, Inc., Upper Saddle River, NI All rights reserved. This material is protocted under all copyright laws as thcy currently
exist. No porticn of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
2-39. Determine the magnitude of F, and its direction 6
so that the resultant force is directed vertically upward and
has a magnitude of 800 N.
400 N
Transcribed Image Text:11:0Y I -> Chapte.. 2-38. If - 30° and the resultant force acting on the gusset plate is directed along the positive x axis, determine the magnitudes of F, and the resultant force. F-5 kN Rectangular Components By referring to Fig a, thes and ycomponents of F. F2. F, nd F cn be written as (5), 4sin 30° = 2N (F- on 30 - 0.8660 (Fily-4 a30 - 3.464N (F2)y - sin30 -0.Sr FRx - FR (FRy =0 Resultant Foreer Summing the force components algebraically along the rand yaxes, +tzFRly = F: 0=-3464 + 0.5 -3 = 1299 kN = 129KN FR) = IF FR=-2+ 086612.93)+4 -13.2 kN Ans (Fix FR 30 (b) F=5 KN Fa4 kN (a) alutions 44918 1/21/09 12:01 PM Page 40 O 2010 Pearson Education, Inc., Upper Saddle River, NI All rights reserved. This material is protocted under all copyright laws as thcy currently exist. No porticn of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 2-39. Determine the magnitude of F, and its direction 6 so that the resultant force is directed vertically upward and has a magnitude of 800 N. 400 N
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