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Unformatted text preview: “SOME EXAM 1 PRACTICE PROBLEMS Statics Exam 1 Study Topics CHAPTER 2
Know : *force units for SI system and US customary system
Be able to: *use parallelogram law and triangle (polygon) role to obtain resultant of vectors.
*resolve a vector into non—rectangular or rectangular components 2]).
*resolvc a vector into components in 3]) given: a) vertical and horizontal plane reference angles,
b) direction cosine angles,
c) dimensions. *recognize the differences of the above types of angles. *change from one (a or c, for instance) to b) direction cosine angles. *ﬁnd the third (dependent) angle given two {independent} direction cosine angles.
*recognize resultant problems, draw the proper sketch, and write the appropriate equations.
*recognize equilibrium problems, draw the proper FBD, and write the appropriate equations.
*solve problems using the concept of “simple pulley.” *solve problems that require multiple concepts. CHAPTER 3
Know :
*principle of transmissibility *all equations for: a) moments in 2D and 3D,
is) ﬁnding angle between two vectors,
0) ﬁnding components of a vector parallel and perpendicular to a given line. *concepts behind the Vector products: cross—product, scalar (dot) product, mixed triple product
Be able to: *calculate moment about a point in 2D and 3D:
3) with a single force,
1)) with multiple forces. *use vector products: a) cross—product of two vectors,
‘0) scalar (dot) product of two vectors,
c) nnxednipleprodnct of three vectors. *calcnlate the angle between two vectors in space. *determine the components of a vector parallel and perpendicular to a given line including moment of a
force about a given axis. *determine the perpendicular distance from a moment point to the line—ofaction of the force causing the moment. NAB/IE:
5 minute quiz In the ﬁgure shown, cable AB is 65 ft. 3.) Give the coordinates of point B. (15]) C3}  He?) 5‘? b) Write out—{for the direction of AB.
4%: M77; « 0,862; o. 3743;, (MW) CE 2450 STATICS  NAME: Find the tension. T, that must be applied to pulley A to lift the 903% weight 'Tr NAME:
CE 2450 5 minute qmz Neglect friction and the weights of the pulleys.
Determine the magnitude P of the force required to maintain equilibrium for each system. Draw proper FBD’S of each sheave. £ng 12A ‘pduigag I my i 10. A 500 N block is supported by the pulley system as
shown. The system is in static equilibrium. Assuming the masses of the 'ulleys and cables are negligible, What
_is weightlz‘l? 7  _ , _ ' 50 mm 0 . 75 mm CE 24511 STATiCS—QUIZ I _ Cable AB passes over the small simple
pulley C without interruption.
a) What length of cable CD is required
' for static equilibrium in the
position shown? '
b) What is the tension T in cable CD? NAME FRACTiCE PRUBLEMS FUR 1
3D EQUILIBRIUM Three cables are connected at A, where the forces P and Q are
applied as shown. Knowing that P = 1200 N , determine the range of values EMS _r of for which cable AD '3 taut.
Q 1 ochemml # of unknowns: TAB, TRIAD, Q (4?) # of equil. eqns.: 3 force eqns. (213150, 23:0, 2F; =0)
When Q = 0, TAD has maximum tension basecLoiLP. .= 1200 N.
As force in Q increases, TAD will eventually reach zero force. Therefore, solve for Q at the extreme conditioanmi : 0).
Then anything less will keep TAD taut. I A container of weight W is suspended from ring A, to which
cables AC and AE are attached. A force P is applied to the end F of a third
cable which passes over a pulley at B and through ring A and which is at
tached to a support at D. Knowing that W = 1000 N, determine the magnir pasied tude of P. Ms. Cable FBAD is a continuous cable passing over pulley @B
and ring @A, which acts as asimple pulley. Therefore7 the
tension in all parts of cable FBAD has magnitude of. Pi
(See labels on Free Body Diagram.) I Three cables are connected at A, where the forces P and Q are
app].in as shovm. Knowing that P = 1200 N, determine the range of values
of Q for which cable AD is taut. 5‘ u i p A container of weight W is suspended from ring A, to which
cables AC and AE are attached. A force F is applied to the end F of a third
cable which passes over a pulley at B and through ring A and which is at
tached to a support at D. Knowing that W = 1000 N, determine the magni— EXTRA EDT PRODUCTS PROBLEM 3.39 Section AB of a pipeline lies in
the yz plane and forms an angle of 37°
with the z axis. Branch lines CD and
BF join AB as shown. Determine the angle formed by pipes AB and CD. M311 2’7” 4 lo
3.40 Determine the angle formed by
pipes AB and BF. M§ 37 I e Fig. P339 and 93.40 3D CONIPONENTS QUIZ NM: SECTION #: For the two vectors in ﬁgures A) and B}, dame the x, y, and 2 components. Describe the types of angles
shown in each (using terminelogy given in class). A) type angles: £0 ‘ 8) types angles: @9 M M e, a? ’3 Hméaé+wé§rwizst§g) ,. g: gem; emwgmsgwewg
‘ , : \‘7 d I " ' § ~ ‘. ‘ x
‘ . .\ ‘x  . "‘_~. . ‘l
’2‘ 3 \\\W‘ \ \s_\____ . ' n ‘a‘ \‘I‘ '. I \‘V 955' 1: . CE 2450 STATICS NAME: Sec. Preparation for Exam 1: Understanding Vector Sums and Products ' .35
The magnitude of F3 is 400 lb and [i + F3 I = 900 lb.
3) Determine the components GEE.L . H
b) Determine the angle between FA and F3 .
(Turn in your work on this paper.) (DON'T Blast: We)le WWW) ._ a) ﬂame ' gt!) i.. 54633+57a+2901153 (I): ( [15 you me A61 6&9” A QUPCD‘QAT‘Q. EN: W ywa was? a: 5mm)
1M YOUK METMD '46 Wag) ’ CE 2450 STATICS QUIZ 1 NAME: 20 pts. The forces FA and F3 shown have the same magnitude.
:5 min If ii; on = 600 N2, what are FA and F3 ‘2 3) Write out the required equation(s).
b) Show components of all necessary parameters. c) Show all work in solving. .
4, W : 75:12:3in
FB=—0.25ng_+ 0.866F3g+0.43314‘33 _ 4" '5 J3 E
a ‘52: In Class Problem NAME: The rope CE in the ﬁgure exerts a SOCN force, T, on the door ABCD.
What is the magnitude of the component of T perpendicular to the door? ' i‘ (94,015,411) 111
ft (05,013) m ((135,032) m 'ALL Moran Mm 135 mm: F02 Fun teemr _ 5%“, .3} CE 2450 ‘ EXAM #1 TIME: ' I: am you goo/e?
Problem # 1 ( 30 % ) I ‘ Ragng
Two forces F8 and F. are applied to a bracket as y. shown in the ﬁgure. Given that the Magnitude of
the Resultant of the two forces is 375 N and is in the direction as shown, 0 Determine the magnitude of the two forces. Aids: 4:7:2733Al) 225.3826 ' roblem # 2 (35 %) A ring at A is supported by three cables and holds
up a. weight of 3090 lbs as showu. If the particle A is in equilibrium determine, 0 Draw a Clear FREE BODY DIAGRAM
showing all the details. 0 Tension in cables AB AC and AD. " ,Tnct22102i: N: 3000 lbs Problem # 3 ( 35 % ) Knowing that magnitude of P = 400 1b ﬁnd:
a} The moment of P about line BC.
 H The moment of 400 lb force about axis AE ...
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 Spring '08
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 Force, direction cosine angles

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