#*ii:.j{F"E:

::,t

:f

t'ffi./q

-bar linkage '.BsB =2.t, :

00rp.cw.apaionsdor sbrt at trfi)

I

middle.Ifthemiddlevelocitiesdonotmatch,scatet6e..test''velocityupordownsothat they do match'l

ti H,5:'f,#'fiff*T,,rn".i".t values of link lengths and directions' and use

t.eff" .",rqv[s @ur,

{e} Find tou and V" by the in.t',,t*.n;,,n.tt,od and compare your results with part (a).

til go"i+t*;t*et"t'rutme*'

AoA =2inAB = 8 in-,

AC =4in.CO = tl in'

AsB = 6-5 in'

DoD =4icAoDo = 4 inAoDo r &B

B

Figure P3.41

FigfreP3l2

g?

tmrad thc i

*,+

ctrao.3 *a.

335.TwoknownvelocitiesforlinkNareshorrrninFig.P3.43.F.*q"".1.:rofroationofthelinklfyouhadset"ptt'itp*Uf"m'couldVo"fi"*"*i*tilydrawntwovectorsV'andVr? WhY or whY not?'

Problems

209

(c)(d)(e)

(a)(b)(c)(d)

Figure P354

Determine the angular vel""tty ral"11-6|}

frI* *. ttii"-" orI,, bYcoml::ITTI;H:l il: lxilHli tii*ir"r uv *T'1::::;T:ll'fJl*:$[ifr::Fl*"J*"t*"six-rinkmechanisminFig'P3'55ffatnilJn+; velocitY ration :! Hilril: i: ;" il}';,'"ro"itv-'"tion.o./":m'*|it:*Tt"$fi%;.l,l:fi1'i-'"'*

cwbv two methods: (r) bv using in-

rlnq urt Yerw'rr v- r nstant center (2'6)'

stant center (2,5) and (2) il-,. . ,,' '

qg"4l4rrE€d'd'd*'') 7tA = t0 @lu

J5 tairr At slalakn'l

Figurc P355

215

r)

* 7l5{

f-i

i-+

*f:1

*Chr.3 Problems

' ::r, 0li"ir $.{j0S lii, i

' iC . 4,gg,n,AB = 1.73n,nC . 2.50 in,BD - 2.0O in.

7. tenl- tokaEi

&en€ '

FTGURE t.77

(635 mffi)(?540 mml(10?0 mm)(2040 mm)

QF . 25.0 in,8Q . 100 in,8Q . 40.2 in.Sll - 80.4 in.

AGURD I.79

the mechanism shown in Fig. g.g3, link 2 rotates at constant angutar velocity5 moves with constant rineaiverociiy. o.t"rrii.'the verocity and accclcration

VEIOCITY AND ACCELSRA?ION' i{

rfr,

ln,In,

(lb? mmlll02 mm)(173 mml

c4 ln, diametar

(102 mm)

3 and 4. Determine the velocity of point Dp. (b) Orr* ,1,," acceleration poly-the acceleration images of gears i and a. b"t*rrin" the accereration of

lhc mechanism shown in Fig. g.gl, link 2 rotates at a constant angutar velocity.r lhe velocity and accereration of the srioer anJ or'and ca2 by (a) unit vec{ors:nnd acccleration polygons.

URE E.EI

OR = 5.O in.RQ = 2.0 in.QP = 2O in.

(127 mm)(50.8 mm)

(508 mm)

'uz= 5 rad /s

= 200rcdh

O2A = 4n'AB = 9in

( IO2.mm)Q29 mml

60,6( 1.64

E8 rtl(96.6 tn.J

,!

t;

Trrak

lhc nrechanism shown in Fig. g.g2, members 4 ancl 5 are gears in mesh. Link 2constant angurar verociry- (a) construct the verocity po-iygoo, "nJ'riJ*,r,"gears 4 and 5 wh€o <o, = 0 and when (,,s = 5 r"d/r. at'aJ""r?r"";;;;J"il#;;lnd show the images of gears 4 and 5 when., = O and when os = 5 radls.

6ln,'(l0t mml

,3.in, (76.2 mm)2 in. (50.8 mm)

ra'p

ri\Li

'$'i ,Jrr

.,i.;'i

(S0,8 mm)(l0l mm)(203 mm)(I02 mm)

8.t15. Olvcn thc mechanism shown in Fig. 8.92, locate all instantaneous8.d6.r Wthoul dctermining othir instantaneous centers, locate the inqttl

$90 vEl.ocrry AND ACCB&nRAlIp.t'I *itlfitf,stf;

13 and l? in Fig. 8.77. On what line is 3T located?8.4?. Locatc the six instantaneous centers of Fig. 8.78.

O2A.2n.AB - 4n.AC;8in.

1 BO=4in,

,]

''rlilii

f,.{8. Dctermine all instantaneous center locations for the mechanism of83.3 ft/s and V" is to be determined. Detefmine Ve using instantaneous25. Check your answer by determining Vo using instantaneous centers 13,13, 15,35.

O2A = 4 in. {102 mm)

Y. 3 40 flls(l?.? m/n)

#_,9q1 no .f .

Hcunn t.gl I

diameter

I I irrl

!ll,{j,;{,'ii,

ou4,QuAs.,,

WtCIcllffiAr{b'

F1t,,8,6!r or *' l5 ild/r and r,tr * 5

14. 45,

the crank-shaper mcchanisrh shown ihand (b) the velocity of the tool

,2 m/s.

Given the mechanism shown in Fig. 8.94, locate atlVo by instantaneous center methods if V; = 25 ilt./s with trrr

O2A = 3.0 ih. i'(76.2 mm) CD = l2.O in. (305 mm)AB - 7.0 in. (178 mm) ' CB - 6.0 in. (152 mm)

7 in.(178 mm)

radius

ii!:i

,i,,

I{GURE t.'4, 'li i'l' i' t.:

The claw mqc\anism shown in Fig..8.95,is used to shift items to,the left withhtent motion. Gears 2 and 3 are in mcsh at P, and the velocity of P is givcn by a

in. long. Using instantaneous ccnters, determine the vector representing'theof Coflhggl$il..,, +ti,: j.,i;j.i:,, ,,1' rl

. ifll

-tI

#*ii:.j{F"E:

::,t

:f

-bar linkage '.BsB =2.t, :

00rp.cw-apaionsdor sbrt at trA)

middle.Ifthemiddlevelocitiesdonotmarch,scabt6e..test''velocityupordownsothat they do match'l

ti H,Ir:'r,;;'il:r,ff*T,,rn".i".r values of link lengths and directions' and use

t.eff" .",'avh @ur '

{e}FindtouandV"bythein.t-t*.nl,*.tt,odandcompareyourresultswithpart(a).tal go"itPt*;t*et"t'rutme*'

AoA =2inAB = 8 in-,

AC =4in.CO = tl in'

AsB = 6-5 in'

DoD =4icAoDo = 4 inAoDo r &B

B

Figure P3.41

FigfreP3l2

g?

tmrad tbc J

naF.

cl"p.3*

335.TwoknownvelocitiesforlinkNareshorrrninFig.P3.43.F.*q"".1.:rofroationofthelink lf you had set

"p tt'it p*Uf"m' could Vo" fi"* "tti*tily

drawn two vectors V' and

Vs? WhY or whY not?'

Problems

209