aerospace q.paper

7/18/2019 aerospace q.paper

http://slidepdf.com/reader/full/aerospace-qpaper 1/19

2013 AEROSPACE ENGINEERING – AE

AE 1/19

AE:AEROSPACE ENGINEERING

Duration: Three Hours Maximum Marks:100

Please read the ollo!"#$ "#stru%t"o#s %areull&:

Gen e ral Ins t ructions:

1' Total durat"o# o e(a)"#at"o# "s 1*0 )"#utes +3 hours,'

2' The %lo%- !"ll .e set at the serer' The %ou#tdo!# t")er "# the to r"$ht %or#er o s%ree# !"ll d"sla&

the re)a"#"#$ t")e aa"la.le or &ou to %o)lete the e(a)"#at"o#' he# the t")er rea%hes ero the

e(a)"#at"o# !"ll e#d .& "tsel' 4ou !"ll #ot .e re5u"red to e#d or su.)"t &our e(a)"#at"o#'

3' The 6uest"o# Palette d"sla&ed o# the r"$ht s"de o s%ree# !"ll sho! the status o ea%h 5uest"o# us"#$

o#e o the ollo!"#$ s&).ols:

4ou hae #ot "s"ted the 5uest"o# &et'

4ou hae #ot a#s!ered the 5uest"o#'

4ou hae a#s!ered the 5uest"o#'

4ou hae NOT a#s!ered the 5uest"o# .ut hae )ar-ed the

5uest"o# or re"e!'

4ou hae a#s!ered the 5uest"o# .ut )ar-ed "t or re"e!'

The 7ar-ed or Re"e! status or a 5uest"o# s")l& "#d"%ates that &ou !ould l"-e to loo- at that5uest"o# a$a"#' If a question is answered and Marked for Review, your answer for that question

will be considered in the evaluation.

Navigating t o a Question

8' To a#s!er a 5uest"o# do the ollo!"#$:

a' Cl"%- o# the 5uest"o# #u).er "# the 6uest"o# Palette to $o to that 5uest"o# d"re%tl&'

.' Sele%t a# a#s!er or a )ult"le %ho"%e t&e 5uest"o#' se the "rtual #u)er"% -e&ad to e#ter

a #u).er as a#s!er or a #u)er"%al t&e 5uest"o#'%' Cl"%- o# Save and Next to sae &our a#s!er or the %urre#t 5uest"o# a#d the# $o to the #e(t

5uest"o#'d' Cl"%- o# Mark for Revie and Next to sae &our a#s!er or the %urre#t 5uest"o# )ar- "t

or re"e! a#d the# $o to the #e(t 5uest"o#'e! Caution: Note t"at #our anser for t"e current $uestion ill not %e saved& if #ou

navigate to anot"er $uestion directl# %# clicking on its $uestion nu'%er!

' 4ou %a# "e! all the 5uest"o#s .& %l"%-"#$ o# the Question Pa(er .utto#' Note that the ot"o#s or

)ult"le %ho"%e t&e 5uest"o#s !"ll #ot .e sho!#'



Ans e ring a Question

;' Pro%edure or a#s!er"#$ a )ult"le %ho"%e t&e 5uest"o#:a' To sele%t &our a#s!er %l"%- o# the .utto# o o#e o the ot"o#s

.' To desele%t &our %hose# a#s!er %l"%- o# the .utto# o the %hose# ot"o# a$a"# or %l"%- o# the

Clear Res(onse .utto#

%' To %ha#$e &our %hose# a#s!er %l"%- o# the .utto# o a#other ot"o#

d' To sae &our a#s!er &ou 7ST %l"%- o# the Save and Next .utto#e' To )ar- the 5uest"o# or re"e! %l"%- o# the Mark for Revie and Next .utto#! If an

answer is selected for a question that is Marked for Review, that answer will be considered

in the evaluation.

<' Pro%edure or a#s!er"#$ a #u)er"%al a#s!er t&e 5uest"o#:

a' To e#ter a #u).er as &our a#s!er use the "rtual #u)er"%al -e&ad .' A ra%t"o# +e$'=0'3 or ='3, %a# .e e#tered as a# a#s!er !"th or !"thout >0? .eore the de%")al

o"#t%' To %lear &our a#s!er %l"%- o# the Clear Res(onse .utto#

d' To sae &our a#s!er &ou 7ST %l"%- o# the Save and Next .utto#

e' To )ar- the 5uest"o# or re"e! %l"%- o# the Mark for Revie and Next .utto#! If an

answer is entered for a question that is Marked for Review, that answer will be considered in the evaluation.

*' To %ha#$e &our a#s!er to a 5uest"o# that has alread& .ee# a#s!ered "rst sele%t that 5uest"o# or

a#s!er"#$ a#d the# ollo! the ro%edure or a#s!er"#$ that t&e o 5uest"o#'

9' Note that ON@4 6uest"o#s or !h"%h a#s!ers are saed or )ar-ed or re"e! ater a#s!er"#$ !"ll .e

%o#s"dered or ealuat"o#'



Pa(er s(ecif i c instructio n s:

1' There are a total o ; 5uest"o#s %arr&"#$ 100 )ar-s' 6uest"o#s are o )ult"le %ho"%e t&e or

#u)er"%al a#s!er t&e' A )ult"le %ho"%e t&e 5uest"o# !"ll hae our %ho"%es or the a#s!er !"th

o#l& one %orre%t %ho"%e' or #u)er"%al a#s!er t&e 5uest"o#s the a#s!er "s a #u).er a#d #o %ho"%es

!"ll .e $"e#! A nu'%er as t"e anser s"ould %e entered us"#$ the "rtual -e&.oard o# the )o#"tor'

2' 6uest"o#s 6'1 – 6'2 %arr& 1)area%h' 6uest"o#s 6'2; – 6' %arr& 2)ar-s ea%h' The 2)ar-s

5uest"o#s "#%lude t!o a"rs o %o))o# data 5uest"o#s a#d t!o a"rs o l"#-ed a#s!er 5uest"o#s' The

a#s!er to the se%o#d 5uest"o# o the l"#-ed a#s!er 5uest"o#s dee#ds o# the a#s!er to the "rst

5uest"o# o the a"r' I the "rst 5uest"o# "# the l"#-ed a"r "s !ro#$l& a#s!ered or "s #ot atte)ted

the# the a#s!er to the se%o#d 5uest"o# "# the a"r !"ll #ot .e ealuated'

3' 6uest"o#s 6'; – 6'; .elo#$ to Ge#eral At"tude +GA, se%t"o# a#d %arr& a total o 1 )ar-s'

6uest"o#s 6'; – 6';0 %arr& 1)area%h a#d 5uest"o#s 6';1 – 6'; %arr& 2)ar-s ea%h'

8' 6uest"o#s #ot atte)ted !"ll result "# ero )ar-' ro#$ a#s!ers or )ult"le %ho"%e t&e 5uest"o#s

!"ll result "# NEGA)I*E )ar-s' or all 1 )ar- 5uest"o#s ⅓ )ar- !"ll .e dedu%ted or ea%h !ro#$

a#s!er' or all 2 )ar-s 5uest"o#s ⅔ )ar- !"ll .e dedu%ted or ea%h !ro#$ a#s!er' Ho!eer "# the%ase o the l"#-ed a#s!er 5uest"o# a"r there !"ll .e #e$at"e )ar-s o#l& or !ro#$ a#s!er to the

"rst 5uest"o# a#d #o #e$at"e )ar-s or !ro#$ a#s!er to the se%o#d 5uest"o#' There "s #o #e$at"e

)ar-"#$ or 5uest"o#s o #u)er"%al a#s!er t&e'

' Cal%ulator "s allo!ed' Charts $rah sheets or ta.les are NO) allo!ed "# the e(a)"#at"o# hall'

;' Bo the rou$h !or- "# the S%r"..le Pad ro"ded'



Q! + , Q! -. carr# one 'ark eac"!

6'1The d"re%t"o#al der"at"e o the u#%t"o#

+ x y, = +11, "s

2 2

f + x y, = "# the d"re%t"o# a = 2i − 8 j at:

+A, − 1

+D, − 2

+C, 0 +B, − 1:

6'2 x + 2

The alue o ∫ x2 + 8 x −

21

dx "s

+A, l# 28 11 +D, l# 12 11 +C, l# 2 +B, l# (12 11)

6'3 At x = 0 the u#%t"o# y = x "s

+A, %o#t"#uous .ut #ot d"ere#t"a.le

+D, %o#t"#uous a#d d"ere#t"a.le

+C, #ot %o#t"#uous .ut d"ere#t"a.le

+B, #ot %o#t"#uous a#d #ot d"ere#t"a.le

6'8 O#e o the e"$e#e%tors o the )atr"(

1 −1 0 1 A =

0 1 −1

"s v =

1

' −1 0 1

1

The %orreso#d"#$ e"$e#alue "s

6' h"%h o#e o the ollo!"#$ "s the )ost sta.le %o#"$urat"o# o a# a"rla#e "# roll

+A, S!ee .a%- a#hedral a#d lo! !"#$

+D, S!ee or!ard d"hedral a#d lo! !"#$

+C, S!ee or!ard a#hedral a#d h"$h !"#$

+B, S!ee .a%- d"hedral a#d h"$h !"#$

x + xy

8



6'; h"%h o#e o the ollo!"#$ l"$ht "#stru)e#ts "s used o# a# a"r%rat to deter)"#e "ts att"tude "#

l"$ht

+A, Fert"%al seed "#d"%ator

+D, Alt")eter

+C, Art""%"al Hor"o#+B, Tur#=.a#- "#d"%ator

6'< A suerso#"% a"rla#e "s e(e%ted to l& at .oth su.so#"% a#d suerso#"% seeds dur"#$ "ts !hole

l"$ht %ourse' h"%h o#e o the ollo!"#$ state)e#ts "s TRE

+A, A"rla#e !"ll e(er"e#%e less sta."l"t& "# "t%h at suerso#"% seeds tha# at su.so#"% seeds

+D, A"rla#e !"ll eel #o %ha#$e "# "t%h sta."l"t&

+C, A"rla#e !"ll e(er"e#%e )ore sta."l"t& "# "t%h at suerso#"% seeds tha# at su.so#"% seeds

+B, P"t%h sta."l"t& %a##ot .e "#erred ro) the "#or)at"o# $"e#

6'* h"%h o#e o the ollo!"#$ "s aora.le or a# a"rla#e oerat"o#

+A, Ta"l !"#d "# %ru"se a#d head !"#d "# la#d"#$

+D, Ta"l !"#d .oth "# %ru"se a#d la#d"#$

+C, Head !"#d .oth "# %ru"se a#d la#d"#$

+B, Head !"#d "# %ru"se a#d ta"l !"#d "# la#d"#$

6'9 h"%h o#e o the ollo!"#$ "s TRE !"th rese%t to Phu$o"d )ode o a# a"r%rat

+A, re5ue#%& "s d"re%tl& roort"o#al to l"$ht seed

+D, re5ue#%& "s "#ersel& roort"o#al to l"$ht seed

+C, re5ue#%& "s d"re%tl& roort"o#al to the s5uare root o l"$ht seed

+B, re5ue#%& "s "#ersel& roort"o#al to the s5uare root o l"$ht seed

6'10 The x a#d y elo%"t& %o)o#e#ts o a t!o d")e#s"o#al lo! "eld are

u = cy

v = cx

!here c "s a %o#sta#t' The strea)l"#es are a a)"l& o x

2 + y2

x2 + y

2

+A, h&er.olas +D, ara.olas +C, ell"ses +B, %"r%les



6'11 h"%h o#e o the ollo!"#$ state)e#ts "s NOT TRE or a suerso#"% lo!

+A, Oer a $radual e(a#s"o# e#tro& re)a"#s %o#sta#t

+D, Oer a shar e(a#s"o# %or#er e#tro& %a# "#%rease

+C, Oer a $radual %o)ress"o# e#tro& %a# re)a"# %o#sta#t

+B, Oer a shar %o)ress"o# %or#er e#tro& "#%reases

6'12 Co#s"der a %o)ress".le lo! !here a# ele)e#tal olu)e o the lu"d "s δϑ )o"#$ !"th elo%"t&V ' h"%h o#e o the ollo!"#$ e(ress"o#s "s TRE

+A, 1 Dδϑ∇ ⋅V =

δϑ Dt

+D, ∇ ⋅ +∇ × V , =

1 Dδϑδϑ Dt

+C, ∇ ⋅

DV=

1 Dδϑ

Dt δϑ Dt

+B, V ⋅ +∇ × V , =

1 Dδϑδϑ Dt

6'13 Co#s"der a th"# lat late a"ro"l at a s)all a#$le α to a# o#%o)"#$ suerso#"% strea) o a"r'

CdAssu)"#$ the lo! to .e "#"s%"d2

"s

l

+A, ero

+D, "#dee#de#t o α

+C, roort"o#al to α

+B, roort"o#al to α 2

6'18 The %r"t"%al 7a%h #u).er or a lat late o ero th"%-#ess at ero a#$le o atta%- "s

6'1 A da)ed s"#$le de$ree=o=reedo) s&ste) "s ".rat"#$ u#der a har)o#"% e(%"tat"o# !"th a#

a)l"tude rat"o o 2' at reso#a#%e' The da)"#$ rat"o o the s&ste) "s

C



6'1; The %ross=se%t"o# o a lo#$ th"#=!alled )e).er "s as sho!# "# the "$ure' he# su.e%ted to ure

t!"st o"#t A

A

+A, does #ot )oe hor"o#tall& or a("all& .ut )oes ert"%all&

+D, does #ot )oe a("all& .ut )oes .oth ert"%all& a#d hor"o#tall&

+C, does #ot )oe hor"o#tall& ert"%all& or a("all&

+B, does #ot )oe ert"%all& or a("all& .ut )oes hor"o#tall&

6'1< The %ha##el se%t"o# o u#"or) th"%-#ess 2)) sho!# "# the "$ure "s su.e%ted to a tor5ue o

10 N)' I "t "s )ade o a )ater"al !"th shear )odulus o 2 GPa the t!"st er u#"t le#$th "#rad"a#s/) "s

300))

;00))

300))



6'1* The st"e#ed %ross=se%t"o# o a lo#$ sle#der u#"or) stru%tural )e).er "s "deal"ed as sho!# "# the

"$ure .elo!' The lu)ed areas at A D C a#d B hae e5ual %ross=se%t"o#al area o 3 cmଶ '

The !e.s AD DC CB a#d BA are ea%h )) th"%-' The stru%tural )e).er "s su.e%ted to at!"st"#$ )o)e#t o 10 -N)' The )a$#"tudes o the shear lo! "# the !e.s q AB q BC qCD a#d q DA "#-N/) are rese%t"el&

A B

200))

D C

00))

+A, 20 20 20 20

+D, 0 0 0 0

+C, 80 80 0 0

+B, 0 0 0 0

6'19 Co#s"der t!o e#$"#es P a#d 6' I# P the h"$h ressure tur."#e .lades are %ooled !"th a .leed o

ro) the %o)ressor ater the %o)ress"o# ro%ess a#d "# 6 the tur."#e .lades are #ot %ooled'

Co)ar"#$ e#$"#e P !"th e#$"#e 6 !h"%h o#e o the ollo!"#$ "s NOT TRE

+A, Tur."#e "#let te)erature "s h"$her or e#$"#e P

+D, Se%""% thrust "s h"$her or e#$"#e P

+C, Co)ressor !or- "s the sa)e or .oth P a#d 6

+B, uel lo! rate "s lo!er or e#$"#e P

6'20 The )ass lo! rate o a"r throu$h a# a"r%rat e#$"#e "s 10 -$/s' The %o)ressor outlet te)erature

"s 800 a#d the tur."#e "#let te)erature "s 1*00 ' The heat"#$ alue o the uel "s 82 7J/-$ a#d

the se%""% heat at %o#sta#t ressure "s 1 -J/-$=' The )ass lo! rate o the uel "# -$/s "s

aro(")atel&

6'21 or a $"e# "#let %o#d"t"o# " the tur."#e "#let te)erature "s "(ed !hat alue o %o)ressor

e"%"e#%& $"e# .elo! leads to the lo!est a)ou#t o uel added "# the %o).ustor o a $as tur."#e

e#$"#e

+A, 1 +D, 0'9 +C, 0'* +B, 0'*



6'22 A $as tur."#e e#$"#e "s )ou#ted o# a# a"r%rat !h"%h %a# atta"# a )a(")u) alt"tude o 11 -) ro)

sea leel' The %o).ustor olu)e o th"s e#$"#e "s de%"ded .ased o# %o#d"t"o#s at

+A, sea leel +D, * -) alt"tude +C, ' -) alt"tude +B, 11 -) alt"tude

6'23 Co#s"der the lo! earth or."t +@EO, a#d the $eo s&#%hro#ous or."t +GSO,' The#

+A, ∆V re5u"re)e#t or lau#%h to @EO "s $reater tha# that or GSO a#d alt"tude o @EO "s

lo!er tha# that o GSO

+D,

+C,

∆V re5u"re)e#t or lau#%h to @EO "s lo!er tha# that or GSO a#d alt"tude o @EO "s

lo!er tha# that o GSO

∆V re5u"re)e#t or lau#%h to @EO "s $reater tha# that or GSO a#d alt"tude o @EO "s

$reater tha# that o GSO

+B, ∆V re5u"re)e#t or lau#%h to @EO "s lo!er tha# that or GSO a#d alt"tude o @EO "s

$reater tha# that o GSO

6'28 h"%h o#e o the ollo!"#$ sho!s the CORRECT ar"at"o# o sta$#at"o# te)erature alo#$ the

a("s o a# "deal ra) et e#$"#e

+A, +D,

+C, +B,

6'2 A ro%-et )otor has a %ha).er ressure o 100 .ar a#d %ha).er te)erature o 3000 ' The

a)."e#t ressure "s 1 .ar' Assu)e that the se%""% heat at %o#sta#t ressure "s 1 -J/-$=' Also

assu)e that the lo! "# the #ole "s "se#tro"% a#d ot")all& e(a#ded' The e("t stat"% te)erature

"# "s

+A, *0 +D, *8 +C, 90 +B, 98



Q! -/ to Q! .. carr# to 'arks eac"!

6'2; @et I = ∫∫ + y2 zi + z 2 x j + x2 yk , + xi + y j + zk ,dS !here S de#otes the sura%e o the shere

o u#"t

S

rad"us %e#tered at the or"$"#' Here i j a#d k de#ote three ortho$o#al u#"t e%tors' The alue o I "s

6'2< G"e# that the @ala%e tra#sor) +eat, = 1

s − athe# (3e

:t s"#h t ) K

+A,

3 s

s 2 −

10 s

+D, 1:

s 2 −

10 s

+C, 3 s

s 2 +

10 s

+B, 1:

s 2 + 10 s

6'2* Falues o a b a#d c !h"%h re#der the )atr"(

1 1a

3 2

= 1

0 b

3

1

− 1

c

3 2

ortho#or)al are rese%t"el&

+A,1

1 0

2 2

+D,1

=2

1

; ; ;

+C, − 1

− 1

1

3 3 3

+B, −

1

2 =

1

; ; ;

6'29 d2 y dy

A u#%t"o# ሺ ሻ sat"s"es the d"ere#t"ale5uat"o#

dt2 − 2 + y = 0 a#d "s su.e%t to the "#"t"al

dt

%o#d"t"o#s y +t = 0, = 0 a#d dy

+t = 0, = 1' The alue o dt

y+t = 1, "s

+A, e +D, 0 +C, 1 +B, !1



6'30 A $l"der "s lau#%hed ro) a 00m h"$h h"llto' ollo!"#$ data "s aa"la.le or the $l"der: Lero l"t

dra$ %oe"%"e#t C D 0 = 0'02 ase%t rat"o A" = 10 a#d Os!ald e"%"e#%& a%tor e K 0'9' The

)a(")u) ra#$e o the $l"der "# -) "s

6'31 h"%h o#e o the ollo!"#$ %r"ter"a leads to )a(")u) tur# rate a#d )"#")u) rad"us "# a leel tur#

l"$ht

+A, H"$hest oss".le load a%tor a#d h"$hest oss".le elo%"t&

+D, @o!est oss".le load a%tor a#d lo!est oss".le elo%"t&

+C, H"$hest oss".le load a%tor a#d lo!est oss".le elo%"t&

+B, @o!est oss".le load a%tor a#d h"$hest oss".le elo%"t&

6'32 Co#s"der a# a"rla#e !"th re%ta#$ular stra"$ht !"#$ at d"hedral a#$le Γ = 100

' @"t %ure sloe o

!"#$ a"ro"l se%t"o# +%o#sta#t oer the !hole sa# o the !"#$, "s cl α = '8 / rad ' The roll

sta."l"t& der"at"e C l β

"# er rad"a# "s

6'33 Co#s"der o#e=d")e#s"o#al "se#tro"% lo! at a 7a%h #u).er o 0'' I the area o %ross=se%t"o# o a

strea)tu.e "#%reases .& 3 so)e!here alo#$ the lo! the %orreso#d"#$ er%e#ta$e %ha#$e "#

de#s"t& "s

6'38 The ote#t"al lo! )odel or a stor) "s rerese#ted .& the sueros"t"o# o a s"#- a#d a orte(' The

strea) u#%t"o# %a# .e !r"tte# "# the + r θ , s&ste)

as

ψ = − =Λ

θ + Γ l# r !here

2π 2πΛ = Γ = 100 )

2/s ' Assu)e a %o#sta#t a"r de#s"t& o 1'2 -$/)

3' The $au$e ressure at a d"sta#%e o

100 ) ro) the stor) e&e "s

+A, −∞ +D,− 1'2

π 2+C,

− 1'2

2π 2+B,

− 1'2

8π 2

6'3 Three "de#t"%al ea$les o !"#$ sa# s are l&"#$ s"de .& s"de "# a stra"$ht l"#e !"th #o $a .et!ee#

the"r !"#$ t"s' Assu)e a s"#$le horse shoe orte( )odel +o e5ual stre#$th M, or ea%h ."rd' The

#et do!#!ash e(er"e#%ed .& the )"ddle ."rd "s

Γ +A,π s

+D, Γ 2π s

+C, Γ 3π s

+B, 8Γ 3π s



6'3; Strea)l"#e atter# o lo! ast a %&l"#der "s sho!# "# the "$ure .elo!' The o#%o)"#$ lo! "s

stead& "rrotat"o#al a#d "#%o)ress".le' The lo! "s ro) let to r"$ht' Der#oull"?s e5uat"o#

CANNOT .e al"ed .et!ee# the o"#ts

8

12

3

;

+A, 1 a#d 2 +D, 1 a#d +C, 3 a#d 8 +B, a#d ;

6'3< Co#s"der a suerso#"% strea) at a 7a%h #u).er M#2 u#der$o"#$ a $radual e(a#s"o#' The strea)

"s tur#ed .& a# a#$le o 3 de$rees due to the e(a#s"o#' The ollo!"#$ data "s $"e#'

M ν +Pra#dtl=7e&er u#%t"o#,

1'* 20'<3

1'9 23'9

2'0 2;'3*

2'1 29'10

2'2 31'<3

2'3 38'2*2'8 3;'<

The 7a%h #u).er do!#strea) o the e(a#s"o# "s

+A, 1'** +D, 2'00 +C, 2'11 +B, 2'33



6'3* The "deal"ed %ross=se%t"o# o a .ea) "s %o)r"sed o our "de#t"%al .oo)s %o##e%ted .& shear

!e.s' The .ea) "s su.e%ted to a .e#d"#$ )o)e#t as sho!# "# the "$ure' The "#%l"#at"o# o the

#eutral a("s to the (=a("s "# de$rees "s

&

$a7

(

a a

+A, 8 C +D, 8 CC +C, 2;'; C +B, ;3'8 CC

6'39 A %o)os"te %"r%ular shat "s %o)r"sed o a steel %ore surrou#ded .& a# alu)"#u) a##ulus

ere%tl& .o#ded to ea%h other as sho!# "# the "$ure' I "t su.e%ted to a ure tor5ue !h"%h o#e o

the ollo!"#$ state)e#ts "s TRE

+A, O#l& shear stress "s %o#t"#uous a%ross the steel–alu)"#u) "#tera%e

+D, O#l& shear stra"# "s %o#t"#uous a%ross the steel–alu)"#u) "#tera%e

+C, Doth shear stress a#d shear stra"# are %o#t"#uous a%ross the steel–alu)"#u) "#tera%e

+B, Doth shear stress a#d shear stra"# are d"s%o#t"#uous a%ross the steel–alu)"#u) "#tera%e

6'80 A hor"o#tal re%ta#$ular late ADCB "s h"#$ed at o"#ts A D a#d C' AC a#d DB are d"a$o#als othe late' Bo!#!ard or%e % "s al"ed at B' The u!ard rea%t"o#s " A " B a#d "C at o"#ts A D

a#d C rese%t"el& are

+A, "#deter)"#ate

+D, % !% %

+C, 0 % 0

+B, %& 3 %& 3 %& 3



6'81 I# the steel stru%ture +4ou#$?s )odulus K 200 GPa, sho!# "# the "$ure all )e).ers hae a

%"r%ular %ross=se%t"o# o rad"us 10 ))' Colu)# DB "s "##ed at D a#d B' The suort at A "s

h"#$ed' The )"#")u) alue o load at !h"%h the %olu)# DB )a& .u%-le "# 'e(tons "s

aro(")atel&

A 1) D 1) C

2) %

B

6'82 The th"# re%ta#$ular late has d")e#s"o#s )*b*t ' It deelos a stress "eld %orreso#d"#$ to a#

al"ed .e#d"#$ )o)e#t M as sho!# "# the "$ure' A al"d A"r&?s stress u#%t"o# "s

&

77

.(

@

+A,2 M

x3

tb3

+D, 2 M y

3

tb3

+C, 2 M( x3 + y

3

)tb

3

+B, 2 M y

8

tb3

6'83 A %a#t"leer .ea) o #e$l"$".le )ass "s 0'; ) lo#$' It has a re%ta#$ular %ross=se%t"o# o !"dth* )) a#d th"%-#ess ; )) a#d %arr"es a t" )ass o 1'8 -$' I the #atural re5ue#%& o th"s s&ste)"s 10 rad/s 4ou#$?s )odulus o the )ater"al o the .ea) "# GPa "s



6'88 A s")l& suorted .ea) !"th oerha#$ "s loaded .& u#"or)l& d"str".uted load o "#te#s"t& q as

sho!# "# the "$ure' The .e#d"#$ )o)e#t at the )"d=o"#t o AD "s

A q D

@ @/2

+A,q)

2

1;

sa$$"#$ +D, q)2

1;

ho$$"#$ +C, 3q)2

1;

ho$$"#$ +B, 3q)2

1;

sa$$"#$

6'8 Thrust o l"5u"d o(&$e# = l"5u"d h&dro$e# ro%-et e#$"#e "s 300 -N' The O/ rat"o used "s ' I the

uel )ass lo! rate "s 12' -$/s the se%""% ")ulse o the ro%-et )otor "# Ns/-$ "s

+A, 3*00 +D, 8000 +C, 8200 +B, 8800

6'8; I# a 0 rea%t"o# a("al %o)ressor sta$e the lo%al .lade elo%"t& "s 300 )/s a#d the a("al%o)o#e#t o elo%"t& "s 100 )/s' I the a.solute "#let lo! a#$le 1 K 8

o the !or- er u#"t )ass

do#e o# the lu"d .& the sta$e "# -J/-$ "s

+A, 30 +D, 80 +C, 0 +B, ;0

6'8< Co#s"der t!o ro%-ets P a#d 6 "red ert"%all& u !"th "de#t"%al se%""% ")ulse a#d a a&load o 2 -$' Ro%-et P has 2 "de#t"%al sta$es a#d ea%h sta$e has 200 -$ o roella#t a#d 20 -$ o

stru%tural !e"$ht' Ro%-et 6 has a s"#$le sta$e !"th 800 -$ o roella#t a#d 80 -$ o stru%tural

!e"$ht' Ne$le%t"#$ dra$ a#d $ra"t& ee%ts the rat"o o the %ha#$e "# elo%"t& o P to that atta"#ed

.& 6 "s

+A, 1'13 +D, 1'23 +C, 1'33 +B, 1'83

Co''on 0ata Questions

Co''on 0ata for Questions 12 and 13: Bata or a# a"rla#e are $"e# as ollo!s: !e"$ht + = 30k'

thrust aa"la.le at sea=leel , 0= 8000 ' !"#$ la#or) area S = 30m )a(")u) l"t %oe"%"e#t

C ) )a( =

1'8 a#d dra$ %oe"%"e#tC D = 0'01 + 0'028C ) '

Assu)e a"r de#s"t& at sea=leel

ρ∞ = 1'22k- / m'

6'8* Stall seed o the a"rla#e "# )/s "s

+A, 1<'3; +D, 38'22 +C, 8'2 +B, 119'8;

6'89 7"#")u) a#d )a(")u) seeds o the a"rla#e "# leel l"$ht %o#d"t"o# at sea=leel "# )/s are

rese%t"el&

+A, 1<'3; a#d 1*0 +D, 1<'3; a#d 38'22

+C, 38'22 a#d 119'8; +B, 1<'3; a#d 119'8;



Co''on 0ata for Questions .4 and .+: A# a"r%rat "s l&"#$ at 7a%h #u).er 7 K 1' !here the

a)."e#t te)erature "s 20 ' The sta$#at"o# te)erature o $ases at the e#tr& to the #ole "s *00 ' The

#ole "s %ho-ed a#d al!a&s u#der e(a#ded' Assu)e the )ole%ular !e"$ht o the e(haust $ases to .e 29

the rat"o o se%""% heats to .e 1'8 a#d the u#"ersal $as %o#sta#t "s *318 J/-)ol='

6'0 or !h"%h o#e o the #ole e("t 7a%h #u).ers $"e# .elo! "s the rouls"e e"%"e#%& h"$hest

+A, 1

+D, 1'

+C, 2

+B, 2'

6'1 or !h"%h o#e o the #ole e("t 7a%h #u).ers $"e# .elo! "s the thrust h"$hest

+A, 1

+D, 1'+C, 2

+B, 2'

5inked Anser Questions

State'ent for 5inked Anser Questions .- and .6: C"r%ulat"o# theor& o l"t "s assu)ed or a th"#s&))etr"% a"ro"l at a# a#$le o atta%- .' ree strea) elo%"t& "s / '

6'2 I the %"r%ulat"o# at the 5uarter %hord +c/8, o the a"ro"l "s Γ 1 the #or)al elo%"t& "s ero at

+A, c/8 +D, c/2 +C, 3c/8 +B, all o"#ts o# the %hord

6'3 A se%o#d "de#t"%al a"ro"l "s la%ed .eh"#d the "rst o#e at a d"sta#%e o c&$ ro) the tra"l"#$ ed$e o the "rst' The se%o#d a"ro"l has a# u#-#o!# %"r%ulat"o# Γ

2 la%ed at "ts 5uarter %hord' The #or)al

elo%"t& .e%o)es ero at the sa)e %hord=!"se lo%at"o#s o the rese%t"e a"ro"ls as "# the re"ous

5uest"o#' The alues o Γ 1

a#d Γ 2 are rese%t"el&

+A,8π c/ α

2 π c/ α +D,

2π c/ α

2π c/ α

3 3 3 3

+C,2π c/ α

1 π c/ α +B,

8π c/ α

8π c/ α

3 3 3 3



State'ent for 5inked Anser Questions .1 and ..: A !"#$=.od& alo#e %o#"$urat"o# a"rla#e !"th a

!"#$ load"#$ o +S = 1000 ' / m

2"s l&"#$ "# %ru"se %o#d"t"o# at a seed V K 90m/ s at sea=leel +a"r de#s"t&

at sea=leel ρ∞

(b

= 1'22k- / m3,' The ero l"t "t%h"#$ )o)e#t %oe"%"e#t o the a"rla#e "s

C mac

= C m 0

= −0'0; a#d the lo%at"o# o a"rla#e aerod&#a)"% %e#ter ro) the !"#$ lead"#$ ed$e "s

0 ac= 0'2c' Here c "s the %hord le#$th'

6'8 The a"rla#e tr") l"t %oe"%"e#t C ) trim "s

+A, 0'02 +D, 0'802 +C, 0'302 +B, 0'202

6' B"sta#%e o %e#ter o $ra"t& o the a"r%rat + 0 C1 , ro) the !"#$ lead"#$ ed$e "s

+A, 0'88<c +D, −0'8<c+C, 0'8<c +B, −0'2c

General A(titude 7GA8 Questions

Q! ./ , Q! /4 carr# one 'ark eac"!

6'; I 3 5 a#d 8 11 the# !h"%h o the ollo!"#$ ot"o#s "s TRE

ଷ+A,

ହ

ଷ+D,ଵଵ

ଷ+C,ଵଵ

ଷ+B,

ହ

6'< The Head)aster to sea- to &ou'

h"%h o the ollo!"#$ ot"o#s "s "#%orre%t to %o)lete the a.oe se#te#%e

+A, "s !a#t"#$

+D, !a#ts

+C, !a#t

+B, !as !a#t"#$

6'* 7ahata)a Ga#dh" !as -#o!# or h"s hu)"l"t& as

+A, he la&ed a# ")orta#t role "# hu)"l"at"#$ e("t o Dr"t"sh ro) I#d"a'

+D, he !or-ed or hu)a#"tar"a# %auses'

+C, he d"sla&ed )odest& "# h"s "#tera%t"o#s'

+B, he !as a "#e hu)a# .e"#$'



6'9 All e#$"#eer"#$ stude#ts should lear# ) e%ha#"%s ) athe ) at"%s a#d ho! to do %o ) utat"o# '

I II III IF

h"%h o the a.oe u#derl"#ed arts o the se#te#%e "s #ot aror"ate

+A, I +D, II +C, III +B, IF

6';0 Sele%t the a"r that .est e(resses a relat"o#sh" s")"lar to that e(ressed "# the a"r:

ater: (i(e::

+A, %art: road +D, ele%tr"%"t&: !"re

+C, sea: .ea%h +B, )us"%: "#stru)e#t

Q! /+ to Q! /. carr# to 'arks eac"!

6';1 Felo%"t& o a# o.e%t "red d"re%tl& "# u!ard d"re%t"o# "s $"e# .& ൌ 80 ൌ 32 !here"s "# se%o#ds' he# !"ll the elo%"t& .e .et!ee# 32 )/se% a#d ;8 )/se%

+A, +1 3/2, +D, +1/2 1,

+C, +1/2 3/2, +B, +1 3,

6';2 I# a a%tor& t!o )a%h"#es 71 a#d 72 )a#ua%ture ;0 a#d 80 o the auto%o)o#e#ts

rese%t"el&' Out o the total rodu%t"o# 2 o 71 a#d 3 o 72 are ou#d to .e dee%t"e' I a

ra#do)l& dra!# auto%o)o#e#t ro) the %o)."#ed lot "s ou#d dee%t"e !hat "s the ro.a."l"t&

that "t !as )a#ua%tured .& 72

+A, 0'3 +D, 0'8 +C, 0' +B, 0'8

6';3 ollo!"#$ ta.le $"es data o# tour"sts ro) d"ere#t %ou#tr"es "s"t"#$ I#d"a "# the &ear 2011'

Countr# Nu'%er of

)ourists

SA 2000

E#$la#d 300

Ger)a#& 1200

Ital& 1100

Jaa# 2800

Austral"a 2300

ra#%e 1000

h"%h t!o %ou#tr"es %o#tr".uted to the o#e th"rd o the total #u).er o tour"sts !ho "s"ted I#d"a "#2011

+A, SA a#d Jaa#

+D, SA a#d Austral"a

+C, E#$la#d a#d ra#%e

+B, Jaa# a#d Austral"a



6';8 I |െ2 9| െൌ 3 the# the oss".le alue o |െ

| െ ଶ !ould .e:

+A, 30 +D, =30 +C, =82 +B, 82

6'; All roessors are resear%hers

So)e s%"e#t"sts are roessors

h"%h o the $"e# %o#%lus"o#s "s lo$"%all& al"d a#d "s "#erred ro) the a.oe ar$u)e#ts:

+A, All s%"e#t"sts are resear%hers

+D, All roessors are s%"e#t"sts

+C, So)e resear%hers are s%"e#t"sts

+B, No %o#%lus"o# ollo!s

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