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Unformatted text preview: EAS 207  STAT’ICS
j, First Exam _ , ,
Fall 2010 l ~ 3 _ V . Total points: 100 ,
' I ’ Time: 2 hours Notest Closed hook exam.
0.1), Replace the forces shown in Fig. ‘l by an equivalent force system at point 0. Then reduce the equivalent force system at O to a Wrench force
system and locate the intersection of the wrench with the xy—plane. Use vectors for your moment and force calculations. (33 points)
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’ c M" ‘ 3.. 337,: 422m]! (’Lmeﬁim X’slﬁééw 3:? “2494 «W w m, MWMWMM at 2‘2 ’3. sleeve is subjected to 3 forces and 2 moments as shown ihMFfig. 2W 2 Replace the given forces system by an equivalent force system let point A.
Then find the points of intersectiOn of the simplest resultant with X and y \ y \
axes. F = 1501b \ (33 points) mg soak (954%) X: ($83? f M1 =«750 ft ‘lb
M2: 250 ft . 1b F2 = 100 lb PM we
Q. 3) Draw freebody diagram(s) for the loaded frame shewn in Fig.3. The _ . I . ’
radius of the disc at ..'D Is 1 foot and its weIght Is 300 ibs The weight hanging
from the disc Is 500 lbs. Find the reactian fumes at supports A and B. (34 points) EASZD? >STATICS *    . , First “Exam , _ ‘ Vf'Fall 2009 '7 i. .  , , 1' Total points: 100
: ' ’ ’ ' , Time: 2 hours , V‘Notesz .
1. Closed book exam . 1
2. Draw Freebody diagrams for problems 1 and 2 Q. 1) The 10 lb metal disk A Is supported by the smooth inclined surface
and the strings AB and AC .(Fig. 1). The disk Is located at opordinates
‘ *(5 1 ,4) ft and the contact force between the disk and the inclined Surface
is normal (perpendicular to the surface) Determine the tensions in the strings. , ( 30 points) Q 2) The plate shown in Fig.2 is supported by hinges A 8: B and the cable
CE The hinges A 8: B are aligned preperly so that they do not exert any
reaction mement to the plates. Also the hinge A does not exert a reaction
force on the plate In the direction of the hinge axis. Determine reactions at
the hinges and the tension in the cable , ( 34 pm 'ntS) “Wt. 2022 ”SQ‘.‘3(a) Thebracket shown in Fi93(a) is subjected "to threeiforcesand a
couple moment if you are asked to replace this force system by a single 
force F What' Is F and Where does its line of aCtion intersect the xaxis?
( 18 points) *  ,_  ’ , Q 3(b) Three childreh are standing on a 15 by 15 feet square raft as shown in Fig. 3(b) The weights of the children at points A B, and C are 85 ,
lb, 60 lb and 90 lb respectIvely lfa fourth Child of 95 lb weight Climbs onto
the raft, determIne where she should stand if the other children remain in
the posmons shown and the line of action Of the resultant of the four .
weIghts Is to pass through the center Of the raft (1.8ﬁpomts) EAS 207  STATICS
First Examination
Fall 2008 « Time: 1 hr& 50 mins.
‘ Total Points: 100
Notes:
. 1. Closed book exam.
‘ 2. Draw Freebody diagrams for problems 2 and 3. Q. 1) Replace the forces and couple shown in Fig. ,1 ‘by an equivalent force '
system at the Support ‘0’ Also ﬁnd the magni itude and orientation of the Simplest resultant of the
given force system and its location from the support ‘0’. (33 points) 3m: l £25333 14190 3* (NZ)
ZOON inc, wzaz at: cm) MW.» ww » ~. “WA‘NWML .. I; Eilwwowféézls j (1.2) A 15 kg lamp is supported as shown" in Fig.2. The compressive axial
force in the pole DA is 319 Newton and the tension in cable AB is 110 N.
Determine the force in cable AC and the coordinates of point C if the sum of
, the forces at point A is zero. (Note: points B and C are on x—y plane) A " (34 points)
1.5 m / MAMMA m l . PM 20g? Q. 3) The uniform smooth rod shown in Fig. 3 is subjected to a force and ,
coupie moment. if the rod is supported at ‘A’ by a smooth wall and at ‘B’ and
‘0’ either at the top or bottom by smooth rollers, determine the reactions at
these supports. , (33 points) EAS 207
FALL .2007 TEST #1 . Friday, October 5th 748250 pm Note: a) Closed book, formula sheet given.
b) Present‘fyOur answers in the “blue book provided.
c) Be sure your name, printed clearly, is on the “blue book” and theother
information is provided.  , 
d) No book bags, cell phones or anything else besides drafting tools, calculator and
pencils. (10 pts. ) 1 Per the system shown below 0A IS a horizontal, 12 ft long rigid strut BA
1 and CA are cables 0 IS a ball and socket joint. A l 000 lb. load 1s acting
downward at A Assume the xyz axis system is as shown with y upward and
the cables are attached to the yzplane at B and C. The tensile force in Cable
AB'is 900 lb. and the compreSsive force in GA is 1000 lb. Determine; a) The force in cable AC
b) 1/0004 was 7 (8 'pts.) 2. Three forces and a couple are applied to a bracket as shown below. Determine  a) The magnitude and direction of the resultant R P1ot the vector R b) The perpendicular distance dR, and the x intercept xR, from point 0 to the
line of action of R ‘ Sketch your answer accurately on the ﬁgure. . 500 N WMMWWWW mmmmmm Q ;490 C 13th cgoﬂwtw _ V3
30011 ”BM 7? 0m
’ I WWWMMnmmmmm—W . 1 ,__
19—.‘450 mm ———>K~—4DU‘mm ——a ( 10 pts.) 3. Each of the two legs of the welded frame weighs 100 lbs. A wire from C to ' D prevents the frame from rotating out of the horizontal plane about an axis
through its hearing at B and its ball and socket joint at A. Calculate the  tension T 1n the wire and the magnitude of the total force supported by the
. connection at A. ., Note: At B there can only be reaction components in the J: and 2 directions and no
moments. ‘ ...
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 Fall '08
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