Textbook Notes (378,720)
CA (167,253)
U of C (779)
ENGG (62)
ENGG 349 (18)
Chapter

ENGG349 Ch17 problems.pdf

12 Pages
84 Views

Department
Engineering
Course Code
ENGG 349
Professor
Craig Johansen

This preview shows pages 1-3. Sign up to view the full 12 pages of the document.
Problem 17.5 (4,t ,
'[lre unifbrm c-vlinder,,1" of tnass m and radius i', has an angular velocity ro, r,vhen
it is brought into contact ivitffi iclenticalflinder g whlch is at r€3t- 'l'he
coefTicient of kinetic tiiction at the contact point D is trto. Atier a period of
slipping, the cy'linders attain constant angular velocitiesTfEqual n"ragnitude ancl
opposite direction at the same time. Knowing that the trnal kinetic enersv glthe
system is one-half the initial kinetic energy of cylinder,4, derive expressions tbr
the ntrmber of'rel'olutions'executed by each cylinder before it attains a constant
angular veiocity. gosfdo"' t : aoa= ti,) -t0 % edr3.l {pS in fricrl,'on ,^rt4,n st'ot'?
2: jo^rt bt{""t-2 ott-r"1&4 n-.p-A l^'n -t \raipu'{iu
*^)= Oe)= to I
&T=? -o
11 fi,),r ,?du = ), Tu tDoL
ft, *rc.g, ,ltaa;,'-"
= La,!t I
no voclru b4-
b1 n3,N * Av
_ .:; ]-" --
:l
'!
I rn5 r\
'i &-^") ',
| ) ,:
rt
',',
t, r1il.r{
!'1..,.
:.i\'r; i -i
,1; -,:- I
tr,. .{ t i
.J i
,Polo 9r'r-61 Lo:s I
fr --,t, tr
3- e d{ ' , i(+ }o i,op")
p{ , * nr"
uonJidr,r 4.aal*^du A "
* )Z$r = Ff r: z/.\r
(Urrr)e = - (ztr'a) oa : -4y"'3r oa
Problem 17.9 (8-th, or 17 11 US system !n gln)
The double pulley shown has aInass of 14 kg and a centroidal radju!_-glgltt4lien
of 51ry. Cylinder A and block B Ne attached to cords that are wrapped on the
pulleys as shor,vn. The coefficient of kinetic friction between block B and the
surfaceis0.25'[email protected]
lAK shorvn]?etermiie (a) the"velocity of cylinder I as it strikes the ground, (&) the
total distance that block r*)^a 7,
lill) lirtrt :rr:-:-
"_{_,,.,
-.. ,, ,t*J l^:.}r;:{un+'*"i};:],,. o.t?nt\^/
, "',.,t,i--)j/"-u"""' *S4 tg-qsr" --+ g '# :3.crool S6"o'flrn = oislst)*
't.)7
.r .,;'"' l,r?o116, o\ A : (rnoJ)Sn :(lt.r)tr.El)(oqo) : /ol.$JyO
I
' l,,J {rc't'"" oF B: F{:zAr.d; 0.2S p)Cq.x:it: d{.0?fsrJ
u l- trro'-k o-l f.ioho^ = -F{ss : -}&.oats (o'9q) -- -t{ '1rlU
56 i't' t'1rrr Tofd. wor[ - tol .SgG{ ^ ll.q,n = &l.cls {-
Kn+tic o45,y I T, = O
Tr = & N*vt.z + \1",t- *$mpvrl : .j (rr'3rr +thok" +rncre)dr V = td
r___-J
rur.r-lA v+t*h'ou o-l -* O.(,.-f ta DL
twllcl c
(vtto +rz'r^'rtc+;")
F.ti.a Pb .l
L^ xe No"
0e=
C-rSioLrc, B:
t
w,.rr [r 1 {c,1.,re.l
6,)p t
urork d *tt {* A I
-l,lur^,.3r0a ,$Iaoql
R Msrn5 r
3r uto? , ,-
ta nr t ltT
q)@6
N t15+ Bx
dooy tuo
,,^.lOi^ t'
Cb/t o1L;'arltr
* iNrg*?..
*C5} *l^'\" ?Btn/
R ,/n e^t
r) i^6 , Fl
(Urre)p =
r : Ar o"1r
(zue) 0s
- k i,vr(u. ryt t". *h c1l;"-tt*-
t = * 2F 't lo.o'
.^ArA &1vzrw:;t d{,
ust .t4"e. stot..n"
flo VO d ,' aJJ cr4^.h.Lo[ 6<..t
o{G^di,r
c.ottsia(,rr e1 t$t^. I ,1
i oU-Jr<,rrr^;r,. 0i -a 0g
br* =c Nol
37qar
Fi
*-, )
B f Ur+r, =Y
U1r; : 4o.[t .I
Ss -- 1o'lr7
r-a?e.o7aS
Tt.t-L ot = S9/ +Sg
: 2.3Crvt
l.tllrn
ILJ&
(*l ))"
\_/q
t" ts'
(u,r.,.\s =G)p
,utt *1.6o = +hrr.r')r"ro'
0g= +-"t ct*,.l) z
/t, ut 2
-
?r.inafl, "{ "oo'k q e'N-'t1"
_/
/, + Utaa = Ta-
&4.0(S = o.er,, dt
aJ ) tl. ?Boq
Va :g.fls- C(r.Tao<) = a'qSnls l,
Sg u,*r. Vge o , ar"O-
na9s 4 rs o, rl o{ S.1rfic,a
T3 , *3 ooz r 5*uvr,
oo: t[,]30+ -{+.o a.
1i ' * f rt.{tro' los)z a 6't[o'ts )2] ( rr'?a:11 2
= 4o.t.rotr
) t-?r = -&? 'OlaS ' Ss'
t/\'
-fric,Fn'* fuik"p.u 3,4
TiE?nf
3tt)o\
92jfi )/.vt r/)
3 r (.tsoz _ i6r{)
tbAY % -/
,,ttsr3r0o Ci" 5or..--*"1i"^)
Problem 17.38 (Ott ,gotv l$
'['lre ends of a 9-lb rod ,18 are constrained to rno/re along slots cut in a verlical
. t l.
plate as shown.
plate as shown.-A-spring of constant k : 3 lbiin.' is attached to encl I in such a
rvav that its-t6ilion is zero r.vhen g -:-lLJ If'the rnrl iq re'lr.qqerl fl.rm r.,cr r'h--
7sl'tr I t
Tr :o
M =o
Vrr, {-:rr-,t- orl
J?n"3
q;v--,,,)
le @^ 7{+y.f, Tz +V, T2 :-Vz
+W'(r: .-- 4 roe f l-6piso) -i r, (
a- alel6*.on--l E*? €9Pn1'oilt
e : .[ - Lt,rsgo -Vt .AKn" - Wah skt-t"^)
,.h. * Itin3, .iipr*r5o)" - N cl;^.yf;)
. )tJ' Ct- ^*) - {rt '' L
Cons*ra;uCl ,
"-r*Ji"^ r- lG=G t'o = $ tu:
d,r^k oo lV*
rdl
x)
n =*rrl,2
'*(*.c,,,f* r i(b^a.-)*-
= L^9^a'
Y r.(7o), +fw) r [email protected]
:o +jCsoo)1o."ra)2
+)
Problem 17.15 (8tn,
A !g slender rod rotates in a vertical plane about a pivot at B. A spring of
constant k: 300 N/m and of unstleched length 120 mm is attached to the rod as
shown. Knowing that in tt . ffiffiGhownlhe rod has an angular velocity of 4
radls clockwise, determine the angular velocity of the rod @r it has rotated
throtrgh {a)90", (r) i80 ". s4ru-+ r&o I d.{t r*f on.g .syiy =-eD -r.,a
]e z$r^P.z
, [crYootz = o' tttoGtY b'b''n'L
cdo"twrn f+r'f :&n), 'ffiatt =
C,s , l.olt *d {5, )VB 'W O , *, )'t'o
: V' zas 4l/" I
)
141',f o. ?G2+ 0 lsl' - o la. = o.?}vh
: 2' gq S
0 1r,ls
r ;3 il6{} rnrn
=ro13s{ i I
i.r I
). I
nfl_-
' { rn LVo),? *$ no,,
'ib)(o '{)' + t&\G.*,uroXr)'
Tr

Loved by over 2.2 million students

Over 90% improved by at least one letter grade.

Leah — University of Toronto

OneClass has been such a huge help in my studies at UofT especially since I am a transfer student. OneClass is the study buddy I never had before and definitely gives me the extra push to get from a B to an A!

Leah — University of Toronto
Saarim — University of Michigan

Balancing social life With academics can be difficult, that is why I'm so glad that OneClass is out there where I can find the top notes for all of my classes. Now I can be the all-star student I want to be.

Saarim — University of Michigan
Jenna — University of Wisconsin

As a college student living on a college budget, I love how easy it is to earn gift cards just by submitting my notes.

Jenna — University of Wisconsin
Anne — University of California

OneClass has allowed me to catch up with my most difficult course! #lifesaver

Anne — University of California
Description
Problem 17.5 (4,t, '[lrunifbrm c-vlinder,,of tnassm and radius ihas an angular velocity r,vhen g ro, 'l'he itis brought into contact ivitffi iclenticalflinder whlch is atr€3t- coefTicientof kinetictiictionat the contact point D istrto.Atier a period of slipping,thecy'linders attain constant angulvelocitiesTfEqual n"ragnitudeancl oppositedirection atthesame time. Knowing that the trnkinetic enersv glthe system is one-half thinitial kinetienergy of cylinder,4,deriveexpressions tbr the ntrmberof'rel'olutions'executedby each cylinder beforeitattains a constant t: ,^rt4,n'ot'? angularveiocity. gosfdo"' aoa= ti,) -t0 % edr3.l{pS in fricrl,'on _ .:; -- 2: jo^rt bt{""t-2ott-r"1&4 n-.p-l^'n-t\raipu'{iu :l]-" *^)= Oe)= to '! I voclru &T=? -o nb1 n3,N b4*Av I rn5 r\ 11 fi,),r ,?du =), Tu tDoL ,Polo 9r'r-61o:sI 'i &-^") ', fr --,t, | ',',t ft, *rc.g, ,ltaa;,'-" t, r1il.r{ = La,!t I 3- e d{ ' , i(+ }o i,op") :.i\1..,. p{ , ,1;'r;-t:- uonJidr,r 4.aal*^du * nr" tr,.J i * r: " i )Z$r = Ff z/.\r (Urrr)e (ztr'a)oa : -4y"'3r oa = - gln) Problem 17.9 (8-th,or 17 11 US system !n The double pulleyshown has aInass of 14 kg and a centroidalradju!_-glgltt4lien of 51ry. CylinderA and blockB Ne attached to cords thaare wrapped on the pulleys as shor,vn. The coefficientof kinetic frictionbetween block B and the surfaceis0.25'[email protected] lAK shorvn]?etermiie (a) the"velocityof cylinderI as itstrikes theground, (&)the total distancthatblock r*)^a 7, :rr:-:- lill)trt -.. ,, ,t*J l^:.}r;:{un+'*"i};:],,. o.t?nt\^/ "_{_,,., , *S4 tg-qsr" --+ g '# :3.crool S6"o'flrn = oislst)* .r "',.,.,;'"'j/"-u"""' I l,r?o1o\,A : (rnoJ)Sn :(lt.r)tr.El)(oqo) : /ol.$JyO l,,J {rc't'""F B: 0.2S p)Cq.x:it: d{.0?fsrJ ' u F{:zAr.d; l- trro'-k-l f.ioho^ = -F{ss : -}&.oats (o'9q) ---t{ '1rlU 56 t'1rrr Tofd. wor[ - tol.SgG{ {- i't' ^ ll.q,n= &l.cls Kn+tic o45,y I T, O = Tr = N*vt.z + *$mpvrl : .j (rr'3rr+thok" +rncre)dr V= td r___-J \1",t- rur.r-lA v+t*h'ouo-l -*O.(,.ta DL (vttorz'r^'rtc+;") F.ti.Pb .l urork d *tt {* A I L^xe No" -l,lur^,.3r0a ,$Iaoql 0e= 3 r(.ts_z R tbAY i6r{-/ Msrn5 r TiE?nf % uto? 3r , ,- 3tt)o\ r/) ta nr t ltT 92jfi/.vt C-rSioLrc, B: ILJ& ,/n e^t q)@6 R (*l N t15+ Bx r) i^6 , Fl r : Ar o"1r \_/ ))" do,,^.lOi^ q Cb/t (Urre)p (zue) 0s ,,ttsr3r0o Ci"5or..--*"1i"^) o1L;'arltr = * iNrg*?.. t *C5} *l^'\?Btn/ VO d ,aJJ cr4^.h.Lo[ w,.r[r {c,1.,re.lts' floo{G^di,r 6$ T T1*'tfr ='tr+Vz a3"lfi-flo.ola= o'l'1c"2-t't+ ?'t1 (D Fd(s I -G'ot71 a* Lgo : (p52O *b A Prorrk{n l+-sq tI ;-io-')-rs1,=rt4-arl-cer.A --raA-:*S!q -.-*4-*:-?:20--.i .'i'' -U-:-e-E&- d -:-' --* - -!-i.?*-iLreegrsasisge$.- -*cf;-C"aill*: -evusu+)-- 2zAW:-t *t-u- V=(Az- i: Etll_J:hq rbL- -*-tnsroqffitEr-e - jlY ' 3 i-ryjzt\fl-hz-?- j--U:fa - *- ik*, -_t,:.:::E.--,l-:l::]:-:::::.-_-:[email protected]:n,fE-__1bL-_-L 2llun -b:-:-9$ Princi fl. "{ t/o.k { Fh€/5Y t -' $rnVcz + * Ioutz t.-*-i-,"-t L '"{-as(."tta,. l'b|'q.Hr, .^/p.r:35 6.t!7rr4y\a Cj,.{^.Gj"^- Cr^+,c 6 3I *l{ Yoi, r0orr\ ui\? &* *.,r.rsa^.i". 4+< ,.a B kan^,} -r.,r., U t -ll L.h1 .ft,-er .'w ;;\. .!:.h,.
More Less
Unlock Document


Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit