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Unformatted text preview: of} Test. {#1 _ r .STA’I‘ICS . ' Nam: ' I) The system shown beiow consists of two forces and a moment, ﬁnd: a) the forces ahdmoment
in Cartesian Codydinates, b) thé angle between the two forces, 0) a sihgle force—sipgie moment
,_at the origin, d) can the system be reduCed to a single force? 6) if system momma to a single
force, locate'the forco.‘ 3 V ‘ ‘ ' ' BomeooRAﬁsWERs _ j .  .
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SCORE " s ~cs<a.q.Q» 1 2) Given the forces shown, find: a) each force 111 Cartesian vector form, 1)) the magnitude and
“R coordinate direction angles of F2 so that the resultant of She two forces acts along the ilosiﬁve __ x—a‘xis and has a magnitude of SOON, c) if the diseeme mm A to B IS 5131, What are the C
coordinates of point B — _ . Q) I BOXINYOUR ANSWERS . '
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igz‘féz RHR26SSS+%%: F2. mm": ”6U ”‘53“? a”: £53 "I :~ 3) Three wires(DA, DB, DC) are connected at point D, Which is iocated 18 inches below point
a? E. Knowing that the tension in cable DA is 1201133, ﬁnd: a) the moment about the coordinate
C"; . axes of the force cxcrted by the wire DA’, b) moment about the line EC (not (lirawn in) of the
«’i tension in DA' 0) tension in the 6iher cables as well as the weight, W, for agaﬂﬁbrium. ' BOX IN YOUR ANSWERS " i . Test‘# . 1 STATICS It“. .’ I II. .’ .1 .__. W—T 1' l;
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1) The tensiie forceS11:1 three cables that exert a cencun‘ent set. of forceS at the. origin are F‘MGKN Fz— SKN, and F3: m10KN. Find: a) the angie B efforce 3 for which the resultant
of the forces 15 along the intimated dashed line 13) write the 1esultant' 1n vector form 13011 IN YOUR ANSWERS . SCORE 101, 3 (8': (91% '4'
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0va1 \ 1mm ' 1  I 2) If the system of pulleys, cords, and' springs isin equilibrium, find: a) the temsionff) coming
off thepulley arrangement and ieedimg to ring A, b) equiva1ent spring for springs 1 and 2,
bmgs if mgr—9.0? and 3520.112 e) equivalent spring for 3, and the force in the equivalent see
4, 5, and 6, 6) weight, We, and ﬁerce 1am equ‘syalent spring system to the left of ring A.
r , « 2;"  . 1 . . . , __ ' I. I . BOX IN YOUR "ANSWERS KE=12001bslft ‘ K2=18001bslft ‘
K3‘:45001bs/ft ' ﬁ‘ e. 
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Meq‘ce mews l 300 W9 A 3') For the three forces and two moments shown, ﬁnd: a) 23.11 foree's and moments in Cartesian
coordinates b) moment of the 501b force about the origin, 0) the projection of FAB about U. f _
_‘ the line GD (1) moment of FAB about line 033, e) replace the system by a single force and
‘ singie moment about 8 Can the system be reptaced by a single force? If so locate this "  ' force , ' : t , . _ _ ‘ _. ..
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‘1' ‘ . . 3 Emma smt F‘W‘i’w’b'g a) C. C . : \‘/i?0¢ + €301" * Qfﬁ’rﬁfﬁr) 506(1'30) ‘2' Test #1 STATICS Name: i) Three forces act on a bracket. The'direction of the 80113 forces may very, but: the angle
between the forces IS always 500 Find: a) the value of a for which the resultant of the forces acting at A 13 directed horizontally to the 1eft,b) the component of the; 2601b force 
along the x and y axes. . ‘ BOX m YOUR ANSWERS W962: 3) For :11? fear forces and two moments ‘showﬁ, find: a) all forces and moments in Cartesian
form b) moment of the 20H) force about the coordinate axes, c) magnitude of the 1001b force about @xis 6) reduce system 19 a single force and moment at A, e) can system
be reduced 11 impler sysiem? If 30,10eate simpler system. ,...;......... BOX IN YOUR NSWERS ‘ Y 6(11015) , I . ’4! 1ﬁWM;;+ _‘ ~ 111~1 ‘ Egggﬁﬁf
g'i‘( 1: 105 if; .. n “:2;  " ‘ ...
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 Fall '08
 Nohra
 Statics

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