220
SCHALLER (iCiiOial Tbeoiy of Force Am Mass Reductions witli Eiamples from Eijsting Magbj-if s:;:;J^ Mtriiaiiiai] Fsngineering

(iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

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Page 1: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

SCHALLER

(iCiiOial Tbeoiy of Force

Am Mass Reductions witli

Eiamples from

Eijsting Magbj-ifs:;:;J^

Mtriiaiiiai] Fsngineering

Page 2: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

UNIVERSITY OF ILLINOIS

LIBRARY

Class Book . Volume

Je 07-lOM

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4^

.J-

Page 4: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

Digitized by the Internet Archive

in 2013

http://archive.org/details/generaltheoryoffOOscha

Page 5: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

GENERAL THEORY OF FORCE AND MASS REDUCTIONSWrrH EXAMPLES FROM EXISTING MACHINES

BY

Alwin L Schaller

THESIS FOR THE DEGREE OF BACHELOR OF SCIENCE

IN MECHANICAL ENGINEERING

IN THE

COLLEGE OF ENGINEERING

OF THE

UNIVERSITY OF ILLINOIS

PRESENTED JUNE, 1907 i,

Page 6: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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S<y\s

UNIVERSITY OF ILLINOIS

June 1

,

THIS IS TO CERTIFY THAT THE THESIS PREPARED UNDER MY SUPERVISION BY

ALW1K.L SCEALLER

ENTITLED aElT.ERAL TMQEY.....OJ....ZQRCE.....Alffi..,.HAS.S HEMCTI.OIS

WI.TK....EXM£PLES PROM...,EXI.S.TI.NG.....I,iACHI.lffiS.

IS APPROVED BY ME AS FULFILLING THIS PART OF THE REQUIREMENTS FOR THE DEGREE

OF Bachelor of Science in He ciianic.al...Engineering

(7'

HEAD OF DEPARTMENT OF .Mechanical Engi.ne.er.ing.

Page 8: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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z /.

IL///

—2 / -A •

/V 6/.

Page 10: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/

^Zd^ ~^^^e^t.<^yuajC Zi^^-t^-L^ C^,.^>^l^ ^^.^t^c^ ^€a^^^

7~ — Cy^y-'^t'^y^^^X^'^^

.^^^t^'Z^^Zl.tf.t^^ x^-^-i-'t.-^^'U- '^^^ --cZ-^C-'Si^^-tx. , O^-^

Page 12: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
Page 13: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

a.

yi.^A^^'K-Z.yL'XU^yty^-^yt^

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3

M

X

7~ = ^^^Z^v^iyU^ y^^^.y<l^cJ^'^^ci>^^i.^^~^^

Page 16: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

/

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yi£iy yiyS- ^^^J^ /e^^-^^^ii^e^^^ z^x^t^z^i^-e^-ts^ y-r^^tytrtrxy-yr.^

1^^C^icnJ^ y^fo^dUiiyi^iyrz^ ^^^/^^ce--^ ^^yytX^Cl^^crzSii^-- y-O^ y^2.C^e^^7^ f (f p J- J ^

yC^U^ yi^Ayyy^-^, y^yyuzya^ay^ Xy2^ ynt-C^zyytA^ ^Z^^J^ -

Page 18: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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y^£uJL- ^Oyy^^L^ ^,{yy<y\r€yUL££(^ ^io^ yt£[^— ynt.^J^a^ '^/^^^^^Le^

^ 1 ^

/^c^ ny ^ k Mayur^LCytX^ k - (^<r>t>e^fe-*-<.^ \yC^^-- yVT:tydy.J^^ ."OC^ --^^^

yU^^yt^otc^ yCtrcrcy^S^i^ 0~u^y^ ^yc^— ^^oo-^^yCyCy'^-L- yUfxrcoiJt^

y)^ (^^y^^^^tyyvCeyt^a^ ^i^^^t^^C^iL^ /^/^V^y^

£<ruc.^. \^y^^iryt<^ y^^^u^^eJL— yoe^^hvc^Z^^ 'P^J-— yCc^y-ty^A^ yO<i^

^^^^ yyvt^a^ay^^ ^db^^ 'iS-^ yyt^L^ayf^je^ K ^^/C-^^^tx^ /.

^JxyCJ^ yZy>^-

Page 20: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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M/= WJt'^ ^^^^^^ ^a^CyC'C-&-'l^^rX^(y^— .^^r^d^

—'

^^^^^

lo =

Ma

y(^^

^JaJZ^i^ yCtrt^i^^c^ yC^L^^ yfo^C^t^-t^^gi^.O^i^^^^ (i^^^J^^-^

Page 22: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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7

Y

Fig I

yt''^ty*'t^^<^ ^-tZ-^^CZ^ yC'O'^Q^cn^ ^x?j5^^<>c-^ ^^y'^Z^i^ytjZ^'i^'--^ yt/i^ty^^^^t.^

yCiu^ CZ'^^^Xit^ y(K^

Page 24: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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a

w

'Qy ^ (J

^J^y^jU- CAy>ty&yt^ ^(K^ ^ytyOyt^C'^^t^ y-ykt.^XycL. 't^^£ytZ^O'tJt^ y^--^

Page 26: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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y^c^iyc/?^ A^^y-tyi^ /<L£yCAr^^ ^^(n^ ,,^t>-i^!^<>e'<^<;?:-^^lt?->^c . . ':;:::J?,

Page 28: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/o

Fig. 2

^^^^•t^^^ ^^^l-^^e-«?^ /(Z-^x^d-^^-e^i'L-*?^ P^J^ o^t^^je^ ,

Page 30: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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//

u r

1

^/<vdK-e-^ /<2^^<rT.ir-»^ "t^^t^^iA^ ^^/^tjL^

Page 32: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

I

Ik

Page 33: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

/2

^/^-

Page 34: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/3

rI j cl(^

Page 36: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/4

ay/^<^ . [jt^ (3 O y^C^

Fig.

6

Page 38: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/3'

... r-1 ^- /^<^^

A/ /7

/7 6

yiXy^ C^Ly^y(^<^ ^O^^^^-^J^ 't^CZytyf^ yUt-i^tcc^C^^ z^^r^ t^^Ji CZ^Cc^

yt^/'^^-Xy^y^^^ y(y^yt^ ^^lc>t-C-. ^O^lJ^ ^

Page 40: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

v

Page 41: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

76-

/O^y^tt^Va-^^^ ^€Zxt-c-<?^ t^^A— y^S-L^iZ^y-t^^^ yCzyU^<iLyt^<-^'CJL~ yhH^e^^^^^^^cJl. ,

FI9.7

Page 42: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/7

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/6

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>

Page 47: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

/9

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20

Cj^^rt^^k^ <^Q-->^ Xy^^</^i^ (ti^L^HjZ^

M

Page 50: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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6.

I y- /

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yj^ly^tAl^ yCu^L^tl^ ^^.e^M^ yC^S^^C^CytZci^^^ ^2^^^^.-<^-

Page 54: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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23

^jT^-^t/^ yyi/i..^L''QyC^ yrMnr-^-'J^ r=

a. -

7

Page 56: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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6^

r

Page 58: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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25

V////////////////////,

A

^^o^ yyi<^ yiZ'ip^oc^c^e.Jl^

FiQ.n

Page 60: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

I

Page 61: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

26

/^^^ '^Aixi.-v'T^t^^-^f^ /l£flUjLA^ (*y\,^^LyucA /i/vm^CyiLy

_ ////////o

,--4-er3VTTTTTTZ

oo =

Page 62: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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27

2.

A/

/wp^^^ua^i^ ^^^^ ^^^^^ X^TJU^-'t-- a.<^ui^ ih-au^^t^^^

V//////

Page 64: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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26

COy^ - a.<yi^^^yULJ^.€!LA^ U^eJl.<yr^<jt^ t^Cy^^-O-^.-c^j'^

/7 ^ ytJL,^lCtyucJ^^,

Page 66: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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29

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30

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31

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32

A// = yi^^i^uay<iyo.— ZD.

M1^ - yi'-P'i^^tlU^l^ ^ El,

A

j

Page 74: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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35

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^7 //^ '3 f^ X ^Z X 3~

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35"

/l^O^yC ^^-oc-^ 'it-.^u^c^ ^^ty^uC /L^i^L^uui^ 6»-^-'^!*-c-c^^*^

/^^<5t,x?^ /ti^C^C2^ y^yiyi^'ty^i^ U-^y^-^^-J^y^-^

u4A^<-^c-<^ x^!5^?^^t-'-t2_- (LAyL/\yLy^ yt^<^ yO—z.y{^'<^

Page 80: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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36

^x^-^c-t^^^^^^SL^^fe-^ ^-^y'l^.^su^i^-^^i^^CL^^L^yyyyiJtyt^^^yO-r:^^^ , iZ^^^x^

Page 82: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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37

/. ^^^^9--T-<u^--s2-' .^tiy^^^i^yQ-'^c-i'^f'-^ ^<^o^;^c-e^

y-^l^'<^^^f<yC^eZ^ ^^t;^^^:,'C^^?y-t>C'<^^ ^^^T.'C^^ty^l^ j^-^^^^

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38

y^.^'^.^'^CeyXj^,^ /^^.-^C-^t-t-^^ yC-^^ -^.--t-^,^^^^^

roc

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33

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^^^^^^^^.^.^.^^J^ AM. '^'oA-.^Mit

^XxtAod-<^ ^^-T-f-^J-^^ /it-6-0^^2/L- J^^-^U'CM^ .y^H^ ^^^^e^<2^

t-e^t^^^-t-^L ^.-^^ /LM^AA.'^Xje-^ AJl

-

^^-<^1^<2^<^/..<1^ ^^^^^^^A^^d-t^C^y^

IT (A^ /\M y-tiyUZ /-^^X/ ..^^.xc^,..*:?:/ ^a^yc<^^^i£^ -

Zl r^/\M =^ roc =

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41

Zl X Ca:>'^ A M = ^

ZT X 6<; A^CA^ 9=0

.^^^ -iLo-^^ Xoc/\M a^-S^-cf-^^c/-

x"^ ^ AM .

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V

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^2

n

Mru)«A jypt^+Fr^

roc

/e

.

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44

,yr^^<>-'%^tyLJi^^o-iy^^ ^^<:iytJL y^^^e^x^ /t£ijzyLp\

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^S-^-^c- /tSf^

^^a^ '^-O-^^C^ y<^^-<A/f-

C^-^L-Cx^^^S^'^ , C^^-C-^J^ <^<>--t^-C-^

r

/^^^ ^'<^-^C-'t-'^^^<^J^'^^^^^rJ^'

yCA}--^h^^<)'^<JC ^'€U<lS&.^^'-<y(^

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-^6

yt^nrL^Zyt£ty^--t£ ,^-<sl.'^-^-<«_-<^^t^ ^/ly^L^^-^t^UnyC^, ^^Z-^^ yitAyt^U^

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^7

^^C-^t-il-^^ /<^^^^C^'^!-'t-<^t^^^L-^ y^-^L.^C-^'t^ yCL-'-a.^'^^^iy^L^

7^ //^^

yt^K^^ y^^ liL^^-'fQ^^^^k^^'Xyiyi^—(^J^y^yC(^^ -^-^L^^-t^-c^^^,

=^ y^f

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^5

K

Fij. 19.

yC^o-<,-t.-^ yO~-<h-cf--^ A^yo-^^-^(y-^ ce^u^^&^

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so

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I 4

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X:>iyXy<^ ^^^txv-zr- .^Z^£yL^U<l^ ^.^O-y x^5^^^^L-t^ (ly(>--uxy\.^i~^(^-^lAJ^^^^

' / '2- y

y^ - ^ . y<^0

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S2

CO

v^^-^ x'^S'^C'^X.C^^&J^JL-^^ >^6i^^--(2_, yt^.'^^y^^^pL /C^^-t-t-L^^

„^<5U-<,^d--zS5^ /^JL- Xt-'tH^^l^^^^l-tJ-t^ ^y^Ly^-'-^f'-'L.^C^ y'^LyLyLy yLyLy^y'^y^^i^LAyf -•

y(-y(^

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Jr3

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g^;;^/C^c-^t^l^iyCLyt.^^ .-^:l.-<..'<1.'-C'^^^

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AM ycU^Ui.^^^^

\2.\) 0) sio0

r

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Jn6

r

ri^Myl = /^A.

— /CA^^'^uLe^ ^a^^c^c^ y^o-^i^^^zyt^

Page 122: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

i

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S7

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^9

IT-

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60

^7 . .

5^ = ^ oc

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^?t*«,^^io-t-<^ yC-ty^^^j2^X^ ,y^tyS-'i>-<^<^ y-eZ^ yf^<^^Le^,^ CI^CA^

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62

— /Of 2 .

-2 /Vtf^

/ o /

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63

TABLE. I

Am Jr

/VoJ"

Sec. /r ^ I rJ

/ 1 /Q 1 . \J\JyJ /. /\j ./^ AO'i. UJ'JU

o Qrvi OA 7 / ./OJ /1/l^A

cO .UO/0 n777 .U^Ou

c.O JOI .uc/ u .UU/*-t V-/

C2 CCf/CL/lafGu .UO /

/ .oco . JOO JOO /DJ

/.UOO .000 I. Do / OA/.do .do

sJOO

SToft/ .5

6 .067

7 .055

8 ,656 .151 ./23 .052 .039 .029 .0046I

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6^

jZ.....^L.^C>i<^ >^<J-t--c^ .'^^t-oC-t:?^ x^^^ Xt.^'^-<-^^^^^L- /^^iJl-^^«..^^<5Cxfe.^

/ ^Z^i..yi,y<2-~ /^^L^^Lyi^ ^y^-^a^y^^ t^L^c^ .

y^VJyUay<Ly<L^ y<>0-'ZyCyC^'e^tyC^^X^,,^^^ ^.^fC^ c^e-t-c^ZfetI

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6^

j

TABLE nI

LiakNo I r ForrTPu/a for Reduced Mass

Reduceel

/ .425 .62

2 .054 .oiss .0505. 047^

^^-^ 2.9^ A 056

^, Jdlr

"^ff ^ Q ^5" 1^

^ l.935X/./7X'375'\ .^67

5. .495[.7SX.a7S _ ]2

\ .935A/./7 X.^75\ A27

6 .037

7 .05

J

7'^ ^ [ ,9^^x/./7 >^^75- J ,0625

8

3r 75 X.375X^8 1^

.0326

Total 2.307

Totol 5.1106

I

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66

TABLE mA B

/ 2.307 3. / /06

2 2.596 3.54/

3 2.926 3.93^

4 3./77 4.3985 d.503 '^.89

c5~ , iZ^--t«L-^z^

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67

/CHyuCyCt^f—^i^ ^^*>-T,-c.-e.-«2-^ /^t/t,^C'<2-<.^t.-<^ /<.-cy ^^s^t^

^f'^^"

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69

c

Page 148: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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70

y-t^U<.^C^ tA-r!ly\,A..,C^ A-A.^'-O^ ^i^^<^ ^^^^^*-^i,<^^l^»-c<l e^^^-o-<l^C<^C^

,

c = ^

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71

tLi C —

Fiq. 27.

• /?

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7Z

Fig. 28.

^ O. cJ^^ 3

B O

O ^M-^^^u^ OA

OA j^.±.<,>L^

A ..u^r'--'^

-

/^.-txL.^,^ /te.^L.^^cl^ ^A-

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73

Page 156: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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7^

C Mx: Co

X A/

P13.29.

a.<J^ PON

Page 158: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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7S

/ IT AT

Of _7C,

Page 160: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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76

c

Page 162: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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77

C-t>--ixu<2.^^^<t-c-t/ /CxCA^x^iz^ ^^fly'i^^^ycy y^-^y-tx- , iZ^-c^ —

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re

^j^>0'C'^<Jl-t^ 6*--d--^tS>--<U6^^^

/ttr .t£^ /^dx^/^S-^^-iz-^ ^^/<?^-t^-^^txi/u.<^-^ ^^^<^'iZ..<J^>-c<^

Fiq.50.

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79

c-<^ £ : - '-^-^ -

y€X,-iyL^^(^ ^t^S^t-^JL-^xt^ ^'X.^iK-^t.^xyt^

C3, tz^c^^^^C CL.

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eo

..o^ Co = Z S (L

/£^o-tt-.-t^ e^<.^cyn^-t^^ ^yt.<^<^ii^ ^^^o-^<L.-<j6i.^^>-c^

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5/

co

C

1 X< a ^

C^<yi^^V<^ /)Q , '^IXl^L^ (U^un^^U^ /CA^<^^C/ X^-€.<.XL^

y^^yif--iJ^-£ytytyL^(y^ C^^y)^^^c^ X>/(^^^(^yL^ j^^t-^L^ ,^^>^^ .^f^-

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82

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33

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84

F/3 . 32.

6^ ^<-t><^^ y^i^^^i^aJue .;t£i^

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Sc. _

Co

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86

/C-A^^C^L^ ^^^^L-^l^ yd^e^e^LyC^ y^tLyiX^ yCyUf

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87

CO

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S8

z A ^

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Q9

y- i- ^ /.

/^AJ^^L^^ -<L^i>-<^C^tA^6L^ x£xlA-d^^^^L7^ ^^ft^c^C-^^ Xh^d^^e^t^ yf/UUA^4M^

-h ^A f- ^ o - v5

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90

Xi^^t.^(^'t^t^Lyi^uL^ ^^^^^

3.

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9/

/ ifzT

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92

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93

Time for loo R.PM51 sec.

^9^8

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(6

' 16

I 3

X6^^= A/x/z 7rA/\\ /Vx TT A/

3, C ^ 9?. Q

/ . /

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9^

Co = ^2. — ^ // F S' - ^ (33. ^

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9S

^^c^ /.o-^ .Zi^ ^

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96

/^>-r?t_^ ^A-e£^cyL.

2 c

= /.Z9

2 /-=J^-

Page 202: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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97

. /.3^Coo^77 K - ^«33 -h.OO/OS X ,c5^<f)

-,OZ92. -.OOS-^$ =.02.37

= /.Z9 /i .00^^77 -h /3.'7 K .00/08 - .02.-2^1

^/.Z9)C.OO/08—/J.9 X .00^77 ^ -,0^^79

^ ^ - _ ./^r/S" , f,3s-f—. 02.7^1 < .933 - . od^y^ K.3S^)

^ 087 - . 0^9 = /-^^ ^^iiA^/LU^^

- Z X /.^9 XT /C.*^ ^,00^7 7 i~,00/ OS (l9^ - 2. 22j

= , /^^5 2^ J = .-9~OQ

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38

, d~9 .O^gC /^'^ ^^^^/iJ2^e.a-u<L^ /LL^.^^^t,>^

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^^^V<^ (y^/t^L>^ 2IZ^

x^^^^t^-l^^^ ^-^^^tf^-ttt^ y^iUijC^

Page 210: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience
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/o/

^Zlc^ /^/^rr / /Jy^^ .^Vt^L^ .t^^A,,ayL4y- X >^

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/02

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>Ld

QJu

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Page 216: (iCiiOial Tbeoiy of Am Reductions witli · 2015. 5. 27. · generaltheoryofforceandmassreductions wrrhexamplesfromexistingmachines by alwinlschaller thesisforthedegreeofbachelorofscience

^4

i

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