46256485 Theory of Machine Practicals

8/13/2019 46256485 Theory of Machine Practicals

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VISVESVARAYA NATIONAL INSTITUTE OF

TECHNOLOGY

LABORATORY MANUAL

THEORY OF MACHINES - II

(MEP-211)

PREPARED BY

PROF. ANIMESH CHATTERJEE

DR. SATISH D. DHANDOLE

DEPARTMENT OF MECHANICAL ENGINEERING


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EXPERIMENTAL NO 1: DETERMINATION OF UNKNOWN MOMENT OF INERTIA OF GIVEN COMPONENT USING

TRIFILER PENDULUM

EQUIPMENT/EXPERIMENTAL SETUP NAME% TRIFILAR PENDULUM

T!e !a+e of a ,o# f'e/"e$& o 0om+&e !a m+o,&e o 0om+"e !e mome$ of $e'a. Co$$e0$

'o# "0! eam+&e 3!e'e #"e o !e' 0om+&e !a+e mome$ of $e'a 0a$$o ,e 0om+"e# eome'0a&&

Ho3e4e' +o,&e o f$# !e ame $#'e0& !'o"! #$am0 mea"'eme$. T'f&e' +e$#"&"m o$e

"0! a''a$eme$ 3!e'e mome$ of $e'a of a$ 0om+o$e$ 0a$ ,e fo"$# o" , mea"'$ !e me +e'o# of

o0&&ao$ +'o4#e# !e 0e$'e of 'a4 of !e 0om+o$e$ $o3$ o ".

EQUIPMENT DESCRIPTION:

T'f&e' +e$#"&"m a !'ee '$ o'o$a& +e$#"&"m a !o3$ $ f"'e. T!'ee '$ of e/"a& & "++o' a+&afo'm a$# a'e e/"a&& +a0e# a a #a$0e ' f'om !e 0e$'e of +&afo'm.

Le M+,e !e ma of !e +&afo'm a$# M ,e !e ma of !e 0om+o$e$ 3!oe mome$ of $e'a I o ,e

mea"'e#. If T !e me +e'o# of o'o$a& o0&&ao$ !e$5

PROCEDURE:

Mea"'e# &e$! of !e '$ & a$# +&afo'm 'a#" '. Se !e f&a fo'm $ o'o$a& o0&&ao$ a$# mea"'e !e

me +e'o# T6.T!e$ +" !e 4e$ 0om+o$e$ o$ !e +&afo'm o !a 0.. &e a !e 0e$'e of !e +&afo'm

Se !e +&afo'm $ o0&&ao$ aa$ a$# mea"'e !e me +e'o# T1.

F$# ma M+of !e +&afo'm a$# 0a&0"&ae mome$ of $e'a I+.T!e$ 0a&0"&ae !e "$$o3$ mome$ of

$e'a of !e 0om+o$e$ "$ !e 4e$ fo'm"&a +"$ T*T1.

I $o 0om+"&o' o mea"'e T65 .e. me +e'o# of o0&&ao$ of em+ +&afo'm. Ho3e4e' "#e$ a'e

a#4e# o 0'o0!e0 !e e+e'me$a& 4a&"e of T63! !eo'e0a& 4a&"e 4e$ ,

INSTRUCTION:

T!e e0! 'e/"'e# o ,e #'a3$ , !e "#e$. Re+o' !e mea"'e# #aa a$# !o3 o"' 0a&0"&ao$ 3!

o,a$e# 4a&"e of mome$ of $e'a. A&o 0a&0"&ae !e !eo'e0a& 4a&"e of me +e'o# of o0&&ao$ of !e

em+ +&afo'm T6.


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REFERENCE:

1) T!eo' of ma0!$e a$# me0!a$m , S!&e5 ++ 789-776.

2) T!eo' of ma0!$e , S. S. Raa$5 ++. :71-:72.


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EXPERIMENTAL NO 2: DETERMINATION OF MOMENT OF INERTIA AND LOCATION OF CENTRE OF GRAVITY

OF A CONNECTING ROD

EQUIPMENT/EXPERIMENTAL SETUP NAME%SIMPLE PENDULUM ARRANGEMENT

T! e+e'me$ m&a' o 'f&e' +e$#"&"m5 ," ! m"0! m+&e' $ !e e$e !a #oe $o 'e/"'e !e

$o3&e#e of C.;. T!e a''a$eme$ !a a $fe e#e "+e$o$ o4e' 3!0! !e 0o$$e0$ 'o# "+e$#e#

a$# me +e'o# of o0&&ao$ mea"'e#.

PROCEDURE:

F' f$# o" !e ma M of !e 0o$$e0$ 'o# a$# mea"'e# !e e$# o e$# #a$0e (a


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EXPERIMENTAL NO 3: SINGLE PLANE FIELD BALANCING OF ROTOR

EQUIPMENT/EXPERIMENTAL SETUP NAME%DYNAMIC BALANCING MACHINE-I

S$&e +&a$e fe ,a&a$0$ +'o0e#"'e a++&0a,&e o $#"'a& 'oo' $ o+e'ao$ 3!e$ !e "$,a&a$0e amo"$

a$# a$"&a' &o0ao$ $o $o3$. T! me!o# "ef"& 3!e$ a 'oo' !a4$ a0 "$,a&a$0e o$& o'

3!e$ 0o"+&e "$,a&a$0e ma&& 'e&a4e o fo'0e "$,a&a$0e. T! me!o# "e 4,'ao$ mea"'eme$ #aa f'om

"++o' ,ea'$ o f$# o" !e 'e/"'e# ,a&a$0e 0o''e0o$ ma.

EQUIPMENT DESCRIPTION:

T!e 'oo' o ,e ,a&a$0e# "++o'e# o$ a ,a&a$0$ ma0!$e a$# 'oae# , a moo' !'o"! ,e& #'4e. A

'o,o0o+e "e# o mea"'e !e +!ae 3!e'e am+&"#e mee' $#0ae !e 4,'ao$ am+&"#e. A f&e'

"$$ $o, +'o4#e# o $0!'o$e a 1@'+m o a o $#0ae 4,'ao$ a 1 @ '+m f'e/"e$0 3!0! ma$& #"e o "$,a&a$0e.

PROCEDURE: F' !e f&e' f'e/"e$0 "$e# 3! 'oa$ f'e/"e$0. T"$$ 0o$f'me# 3!e$ !e

am+&"#e 'ea0!e mam"m a 3e&& a 3!e$ 'o,o0o+0 $#0ao$ ,e0ome ao$a'. ,'ao$ am+&"#e

a$# +!ae $#0ae# , 'o,o0o+e $oe#. Le ,e 4e0o' 6. T!e$ a 'a& ma of 'am +" o$ !e 'oo'

a a$ a$"&a' &o0ao$ $ !e "$,a&a$0e +&a$e a$# !e 'e"&$ 4,'ao$ am+&"#e a$# +!ae $oe#. Le ,e

1. A 4e0o' #a'am 0o$'"0e# o$ +o&a' 'a+! 3! 4e0o' 6a$# 1a !o3$ $e +ae. 'e+'ee$ !e

4e0o' #ffe'e$0e ,e3ee$ 6a$# 13!0! a0"a&& 'e+'ee$ !e effe0 of 'a& 3e!. T!e 0a&0"&ao$ fo'

0o''e0o$ ma a$# a$"&a' &o0ao$ e+&a$e# $ !e m+&e 0a&0"&ao$ ,e&o3 !e 4e0o' #a'am.

T!e 0o''e0o$ ma +" $ 'e/"'e# &o0ao$ a$# 4,'ao$ 'ea#$ ae$ aa$. A oo# 0o''e0o$ 3&&

'e"& $ 0o$#e'a,&e 'e#"0o$ of ,ea'$ 4,'ao$.

INSTRUCTION:

T!e S0!ema0 #a'am of !e e"+ o ,e #'a3$ o$ !e &ef +ae !o3 !e 4,'ao$ 'ea#$ a$# 0o''e0o$

ma 0a&0"&ao$ a$# ,e&o3 . Aa0! +o&a' 'a+! e+a'ae&. If !e 'e#"a& 4,'ao$ $o &o3 e$o"!

0omme$ o$ !e fa0o' o" !$ 'e+o$,&e fo' .

REFERENCE:

1) T!eo' of me0!a$m a$# ma0!$e , ;!o! Ma&&0

2) IRD MECHANALYSIS ma$"a&.


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EXPERIMENTAL NO 4: DEMONSTARION AND BALANCING OF INERTIA FORCES IN RECIPROCATING

MECHANISM

EQUIPMENT/EXPERIMENTAL SETUP NAME%DYNAMIC BALANCING MACHINE-II

I$ a 'e0+'o0a$ me0!a$m "$,a&a$0e $e'a fo'0e a'e of 3o +e% P'ma' "$,a&a$0e a$# Se0o$#a'

"$,a&a$0e fo'0e. If 3e #o a$ a$a& 'e+&a0$ !e 0o$$e0$ 'o# , #$am0 e/"4a&e$ ma +a' em

&o0ae# a !e 0'a$ +$ e$# a$# +o$ e$# !e$ 3e e

M'e0 +o$ ma +&" !e e/"4a&e$ 0o$$e0$ 'o# ma a +o$ e$# a$# =$> !e 0o$$e0$ 'o# &e$! o

0'a$ 'a#" 'ao.

Bo! P'ma' a$# Se0o$#a' $e'a fo'0e a0 a&o$ !e &$e of moo$ of !e +o$ ," !e' ma$"#e 4a' a

+e' !e 0o$e 0om+o$e$. P'ma' "$,a&a$0e fo'0e 0a$ ,e ,a&a$0e# , +"$ a 0o''e0o$ ma e/"a& o M'e

$ o++oe #'e0o$ o !e 0'a$. Ho3e4e' $'o#"0e a 4a'$ fo'0e 0om+o$e$ a&o$ +e'+e$#0"&a'

#'e0o$. T!" !e ,a&a$0$ +'o0e#"'e fo' 'e0+'o0a$ em 4e o$& +a'a& 'e"&. I$ a##o$ o !ee

$e'a fo'0e !e'e 3o" ,e $e'a fo'0e #"e o 'oa$ "$,a&a$0e o$ !e 0'a$ 3!0! e/"a& o 0'a$

"$,a&a$0e ma +&" !e 0o$$e0$ 'o# e/"4a&e$ ma a !e 0'a$ e$#. T! 'oa$ "$,a&a$0e 0a$ ,e

0om+&ee& e&m$ae# , +"$ a 0o''e0o$ ma of ame amo"$ o++oe o 0'a$

PROCEDURE:

F$# !e 0o$$e0$ 'o# ma a$# #',"e a +o$ e$# a$# 0'a$ e$# fo&&o3$ !e 0o$0e+ of #$am0

e/"4a&e$ em. T!e$ f$# oa& 'e0+'o0a$ ma M'e0 a$# oa& 'oa$ "$,a&a$0e ma. A## 0o''e0o$

ma a e+&a$ a,o4e o ,a&a$0e 'oa$ "$,a&a$0e 0om+&ee& a$# fo' ?6 ,a&a$0$ of 'e0+'o0a$

"$,a&a$0e. Noe !e effe0 afe' ,a&a$0$. T!e$ 'e+ea !e +'o0e#"'e fo' 166 ,a&a$0$ of 'e0+'o0a$

"$,a&a$0e a$# $oe !e effe0. Com+a'e !e 3o 0ae fo' m$m"m f'ame moo$.


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EXPERIMENTAL NO DEMONSTRATION AND CHARACTERISATION OF BEARING VIBRATION DUE TO

UNBALANCE IN ROTATING MACHINES

EQUIPMENT/EXPERIMENTAL SETUP NAME:DYNAMIC BALANCING MACHINE-I

U$,a&a$0e $ a 'oa$ ma0!$e 0a$ ,e #"e o "$,a&a$0e# $e'a fo'0e o'a$# "$,a&a$0e# $e'a 0o"+&e. 3!e$

a 'oo' 0o$'"0o$ 4e' !$ 3! 'e+e0 o !e !af &e$! a $ a fa$ o' $&e ae +"m+5 "$,a&a$0e#

&o0a&e# a'o"$# +&a$e o$& a$# 0a$ ,e 0o''e0e# , +'o4#$ ,a&a$0e 0o''e0o$ ma $ !e ame +&a$e. B"

f !e 'oo' 0o$'"0o$ #',"e# "0! a m"&ae +"m+5 "',$e o' e&e0'0 moo' !e$ "$,a&a$0e 0a$ ,e

#',"e# $ e4e'a& +&a$e a$# ,a&a$0e 0o''e0o$ mae a'e 'e/"'e# o ,e +" $ 3o #ffe'e$ +&a$e 3!0!

a'e 0a&&e# 0o''e0o$ +&a$e. D"e o "$,a&a$0e# $e'a fo'0e a$# $e'a 0o"+&e ,ea'$ a'e ",e0e# o 4a'$

&oa# a$# 4,'ao$ e $ !em. Fo' a &$ea' 'oo' ,ea'$ em 4,'ao$ 4e0o' &$ea'& 'e&ae# o

"$,a&a$0e 4e0o' a 4e$ ,

3!e'e 4,'ao$ 4e0o'5 U "$,a&a$0e 4e0o' a$# $o3$ a $f&"e$0e 0oeff0e$. T!e ,a0 o,e04e

of a$ fe ,a&a$0$ e0!$/"e o f$# $f&"e$0e 0oeff0e$ f'om a e of 4,'ao$ 'ea#$. I$ !e+e'me$ "#e$ a'e "++oe# o "# !e effe0 of "$,a&a$0e ma o$ !e ,ea'$ 4,'ao$G ,o! am+&"#e

a$# +!ae. Dee'm$ao$ of $f&"e$0e 0oeff0e$ 0a$ ,e #o$e a$a&0a&& o' 'a+!0a&&. T!e e0o$# me!o#

#emo$'ae# $ !e $e e+e'me$.

PROCEDURE: S$0!'o$e !e $a& mea"'eme$ f&e' f'e/"e$0 3! !e 'oa$ f'e/"e$0 a$# $oe #o3$

!e 4,'ao$ am+&"#e a$# !e 'o,o0o+0 +!ae 4a&"e. No3 +" a am+&e ma a$3!e'e o$ !e 'oo' a$#

$oe !e 4,'ao$ 'ea#$ aa$.

Le 6,e !e o'$a& ,ea'$ 4,'ao$ 'ea#$ a$# 1,e !e 4,'ao$ afe' !e am+&e ma M +"

I$f&"e$0e 0oeff0e$ * "0! !a 5

A 'a+!0a& +'o0e#"'e fo' f$#$ !e $f&"e$0e 0oeff0e$ #emo$'ae# ,e&o3.

REFERENCE:

P'ma' a$# Se0o$#a'

fo'0e #'e0o$


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1) T!eo' of me0!a$m a$# ma0!$e , ;!o! Ma&&05 ++- 2?2-2:6

2) ,'ao$ 0o$'o& !a$#,oo , B&ae M0!a&

8) IRD Me0!a$a& ma$"a&.

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EXPERIMENTAL NO ! TWO PLANE DYNAMIC BALANCING OF MULTIDISC ROTOR

EQUIPMENT/EXPERIMENTAL SETUP NAME:DYNAMIC BALANCING MACHINE-II

D$am0 ,a&a$0$ ame# a e&m$a$ ,o! !e fo'0e "$,a&a$0e a$# 0o"+&e "$,a&a$0e. I''e+e04e of

$"m,e' of "$,a&a$0e +&a$e $"m,e' of 0o''e0o$ +&a$e 3o o$& fo' a&& '# 'oo'. Ca&0"&ao$ of

0o''e0o$ mae 0a$ e!e' ,e #o$e a$a&0a&& o' , 'a+!0a& me!o#.

EQUIPMENT DESCRIPTION: A 0'a#&e o' f'ame 0a''e !e !af a$# fo"' #0 aem,&. D0 a'e !a4$

+'o4o$ fo' aa0!$ !e "$,a&a$0e o' 0o''e0o$ ma a a$ a$"&a' &o0ao$ a !'ee #ffe'e$ 'a#. !e$

!e 'oo' ,a&a$0e# !e f'ame 3&& 'ema$ ao$a' #"'$ !e '"$$$ of !e 'oo'5 ," 3! "$,a&a$0e

aa0!e# o !e f'ame a' mo4$ o a$# f'o a 3e&& a o0&&ae #"e o fo'0e a$# 0o"+&e "$,a&a$0e.

PROCEDURE: Sa' !e moo' a$# o,e'4e !e f'ame moo$ f a$ $ $a& 0o$#o$. P" !e "$,a&a$0e

mae a $#0ae# a$# $oe !e f'ame moo$ afe' !. T!e$ 0a&0"&ae !e 0o''e0o$ mae 'a+!0a&& a$#

+" !em $ !e 0o''e0o$ +&a$e. F'ame !o" $o3 ,e0ome ao$a' aa$.

INSTRUCTION:D'a3 !e e0! of !e 'oo' #0 aem,& 3! $e0ea' #me$o$. D'a3 !e 'a+!0a&

a$a& $ a e+a'ae A7 e #'a3$ !ee a$# aa0! .

REFERENCE:

1) T!eo' of me0!a$m a$# ma0!$e , ;!o! Ma&&05 ++- 2?2-2:6


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EXPERIMENTAL NO " BALANCING OF TWO CYLINDER RECIPROCATING ENGINE MODEL

EQUIPMENT/EXPERIMENTAL SETUP NAME:DYNAMIC BALANCING MACHINE-II

I$ a$ m"& 0&$#e' $-&$e e$$e "$,a&a$0e 0o$#o$ a'e of fo&&o3$ +e

Toa& +'ma' "$,a&a$0e fo'0e $o e'o

Toa& e0o$#a' "$,a&a$0e fo'0e $o e'o

Toa& +'ma' 0o"+&e $o e'o

Toa& e0o$#a' 0o"+&e $o e'o

Some o' a&& of !ee "$,a&a$0e 0o$#o$ 0a$ ,e e&m$ae# , +'o+e'& e&e0$ !e 'e&a4e 0'a$ +oo$

T! $o3$ a +a4e ,a&a$0$. !e$ !ee "$,a&a$0e effe0 a'e 0o"$e'a0e# , +"$ ,a&a$0$ ma

0a&&e# a04e ,a&a$0$.

PROCEDURE: I$ !e 3o 0&$#e' 'e0+'o0a$ e$$e mo#e& a#" !e 'e&a4e 0'a$ a$&e a 96 #e'ee a$#

'"$ !e mo#e& a$# ee !e f'ame moo$. Sm&a'& e !e 0'a$ a$&e a 16 #e'ee a$# o,e'4e !e f'ame

moo$. Do !e !eo'e0a& a$a& a$# f$# o" !e ,a&a$0e 0o$#o$ fo' !ee 0'a$ a$&e a$# 0om+a'e 3!

+'a00a& o,e'4ao$. T' fo' a04e ,a&a$0$ $ ea0! 0ae $o3 a$# f$# o" 3!e!e' !e ,a&a$0e 0o$#o$ a

$#0ae# , !e f'ame moo$ m+'o4e o' $o.

INSTRUCTION: D'a3 !e e0! fo' !e mo#e& ,e&o3. Fo' a04e ,a&a$0$ e&e0 !e a#a0e$ +&a$e.


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EXPERIMENTAL NO # STUDY OF VIBRATION OF SINGLE D$O$F$ AND TWO D$O$F$ SPRING MASS SYSTEM

EQUIPMENT/EXPERIMENTAL SETUP NAME:SPRING MASS VIBRATION MODEL

I$ ! e+e'me$ !e mo#e& 0o$ of 3o +a'. I$ o$e +a' 3e !a4e a ma 0o$$e0e# o 3o +'$ 3!0!

'e+'ee$ a $&e #e'ee of f'ee#om em. I$ !e e0o$# +a' !e'e a'e 3o ma 0o$$e0e# o !'ee +'$

3!0! 'e+'ee$ 3o #e'ee of f'ee#om em. ,'ao$ $ae# $ !e mo#e& a$# $a"'a& f'e/"e$0 of

o0&&ao$ mea"'e#.

PROCEDURE: F' !e ma $ !e .#.o.f. mo#e& #+&a0e# a$# a&&o3e# o o0&&ae. Le !e me +e'o# ,e

T65 !e$

o'

Ne +&a0e a ma&& ma m o$ !e o'$a& ma M a$# $oe !e me +e'o# T5 T!e$

T!e$ 0a$ ,e #e'4e# !a )E( 2

6

22

6 TTTmM = a$#

T!"5 !e ff$e of !e +'$ a$# !e ma $ !e mo#e& ,o! 0a$ ,e e+e'me$a&& fo"$# o".

I$ !e 3o #e'ee of f'ee#om mo#e& "#e$ a'e "++oe# o $o3 !e $a& 0o$#o$ fo' f' mo#e 4,'ao$

a$# e0o$# mo#e 4,'ao$ a$# !e$ e+e'me$a&& a++& !oe 0o$#o$ a$# ee !e f' mo#e a$# e0o$#

mo#e 4,'ao$. Fo' ea0! mo#e 4,'ao$ !e 3&& $oe !e me +e'o# a$# 0om+a'e 3! !eo'e0a& 4a&"e.

INSTRUCTION: D'a3 !e e0! fo' !e mo#e& ,e&o3. Fo' a04e ,a&a$0$ e&e0 !e a#a0e$ +&a$e.


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EXPERIMENTAL NO: DETERMINATION OF NATURAL FREQUENCY OF BENDING VIBRATION OF

CANTILEVER BEAM USING FFT ANALYSER

EQUIPMENT/EXPERIMENTAL SETUP NAME: CANTILVER BEAM VIBRATION MODEL

A ,eam a# o ,e a 0a$&e4e' ,eam f > o$e e$# fe# a$# o!e' e$# f'ee. !e$ "0! e $o

4,'ao$ 4,'ae 3! ma$ f'e/"e$0e $o3$ a $a"'a& f'e/"e$0e. A !e ,eam a 0o$$"o" em

N"m,e' of $a"'a& f'e/"e$0e $f$. T!e &o3e of !em $o3$ a f"$#ame$a& $a"'a& f'e/"e$0. T!e

&o0" of mam"m am+&"#e +o$ 3!e$ !e ,eam 4,'ae a ! f'e/"e$0 $o3$ a f' mo#e !a+e. I$

!e f"'e ,e&o3 a 0a$&e4e' ,eam !o3$ 3! f' mo#e !a+e. I$ ! e+e'me$ $a"'a& f'e/"e$0 3&& ,e

fo"$# o" , f'ee 4,'ao$ e $ae# , m+a0.

T%&'():

A$ CANTILEVER BEAM WITH TIP MASS

Fo' ! 0ae Ra&e! me!o# 4e a$ a++'omae o&"o$

#e'4ao$ 4e$ $ '"0"'a& #$am0 , Ma'o Pa5 P+ 12:-12K

!e'e E !e Yo"$ mo#"&"

I mome$ of $e'a a,o" $a"'a& a * ,!812 fo' 'e0a$"&a' e0o$


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m,* ma of ,eam5 m* ma a !e +

L &e$! of !e 0a$&e4e' ,eam

B CANTILEVER BEAM WITHOUT TIP MASS

a) Ra&e! a++'omae me!o# 0a$ ,e a++&e# !e'e a&o , a$ m * 6 3!0! 4e

,) E"&e' Be'$o"&&> ,eam !eo' 4e a$ ea0 o&"o$

72

?1.8

Lm

EIf

= !e'em ma +e' "$ &e$! of !e ,eam

DESCRIPTION OF THE SETUP AND INSTRUMENTAION

T!e $'"me$ 'e/"'e# a'e

a) Peoe&e0'0 4,'ao$ 'a$#"0e' o' a00e&e'omee'

,) ,'ao$ mee'

0) Fa Fo"'e' T'a$fo'm (FFT) a$a&e'

T!e a00e&e'omee' mea"'e !e 4,'ao$ a00e&e'ao$ a$# 4e o" 0!a'e o"+" 3!0! 0o$4e'e# $o 4o&ae

$a& $ !e 4,'ao$ mee' a$# !e$ e$ o FFT a$a&e'. T! $a& $ me #oma$ a$# 'a$fo'me#

$o f'e/"e$0 #oma$ $ !e a$a&e' , Fa Fo"'e' Te0!$/"e #e4e&o+e# , Tooe a$# Coo&e a'o"$#19:: $ MIT5 U$e# Sae. T!e f'e/"e$0 #e0om+oo$ #+&ae# o$ !e o0&&o0o+e of !e a$a&e' a a

+e0'"m f"$#ame$a& f'e/"e$0 0a$ ,e $oe#.

PROCEDURE: F' !e &e$! a$# 0'o e0o$a& #ea& a'e mea"'e# a$# !eo'e0a& 4a&"e of $a"'a

f'e/"e$0 a'e 0a&0"&ae# , 4a'o" me!o# 4e$ a,o4e. I$ !e e+e'me$ f'ee 4,'ao$ $ae# , !$

!e + , a !amme' a$# 'e0o'#$ !e +e0'"m o$ FFT a$a&e'. Sm&a'& $e a 0o$0e$'ae# ma aa0!e#

o !e + of !e ,eam a$# f'e/"e$0 'ea#$ ae$. T!e$ e+e'me$a& 'ea#$ a'e o ,e 0om+a'e# 3!

!eo'e0a& o$e.

INSTRUCTION: D'a3 a 0!ema0 #a'am of !e e"+ a&o$ 3! $'"me$ao$. Comme$ o$ +o,&e

'eao$ 3! !eo'e0a& 4a&"e of $a"'a& f'e/"e$0 a'e #ffe'e$ f'om e+e'me$a& o$e. S"# f"'!e' o$

3o'$ +'$0+&e of a00e&e'omee'5 4,'ao$ mee' a$# FFT a$a&e'.

REFERENCE:

1) S'"0"'a& #$am0 , Ma'o Pa

2) Me0!a$0a& 4,'ao$ , Mo'e He$0&e

8) I$'"me$ 0aa&o"e


13/24

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: DETERMINATION OF NATURAL FREQUENCY OF BENDING VIBRATION OF

CANTILEVER BEAM ** RESONANCE APPROACH

EQUIPMENT/EXPERIMENTAL SETUP NAME:BEAM VIBRATION ON EXCITER SETUP

I$ ! e+e'me$ a$ e&e0'oma$e0 e0e' "e# o 4,'ae !e 0a$&e4e' ,eam. T!e e0e' 0o$$e0e#

3! a$ o0&&ao' "0! !a !e f'e/"e$0 of o0&&ao$ 0a$ ,e 4a'e# o4e' a 'a$e a$# a&o !e am+&"#e of

e0ao$ 0a$ ,e 0!a$e#. T! +'o0e#"'e ,ae# o$ !e 0o$0e+ !a 3!e$e4e' a 4,'a$ em e0e# a

o$e of $a"'a& f'e/"e$0e5 !e 'e+o$e ,e0ome 4e' &a'e a$# f #am+$ a,e$ 3&& ,e0ome

$f$e& &a'e. T! a&o $o3$ a 'eo$a$0e.

PROCEDURE:T!e e"+ 0o$ of fo"' ,eam of #ffe'e$ &e$! 0o$$e0e# 3! a 4,'a$ fe# 3! !e

e0e'. T!e o0&&ao' ma$"#e e+ a a &e4e& o !a 4,'ao$ of !e ,eam a'e " 4,&e ," $o 4e'

!!. T!e f'e/"e$0 of o0&&ao' 'a#"a&& $0'eae# && 'eo$a$0e $o0e# $ a ,eam. T!e o0&&ao'

f'e/"e$0 $oe# $o3 a$# ! !e $a"'a& f'e/"e$0 of !e ,eam 3!0! !a !o3$ !e 'eo$a$0e+!e$ome$o$. Sm&a'& $a"'a& f'e/"e$0e of o!e' ,eam a'e a&o o,a$e#. T!e e+e'me$a& 4a&"e a'e !e$

0om+a'e# 3! !eo'e0a& 4a&"e f'om E"&e'-Be'$o"&& ,eam !eo'.

REFERENCE:

1) Me0!a$0a& 4,'ao$ , Rao a$# ;"+a


14/24

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: DETERMINATION OF MATERIAL DAMPING OF STEEL CANTILEVER BEAM BY FREE

VIBRATION TEST

EQUIPMENT/EXPERIMENTAL SETUP NAME:BEAM VIBRATION MODEL

Mae'a& #am+$ $!e'e$& +'ee$ $ a&& !e mae'a& o #ffe'e$ ee$. See& !a a &o3 #am+$ 4a&"e

3!e'ea !a $ 0a-'o$ !!. T!e +'ee$0e of #am+$ !e&+ o &m !e 4,'ao$ &e4e& $ !e em

+a'0"&a'& $ea' 'eo$a$0e. !e$ #am+$ $ a em o$& #"e o mae'a& #am+$5 !e 'e"&$ moo$

"$#e' #am+e#5 $ 3!0! "00e4e +ea #e0a e+o$e$a&&. I$ "0! 0ae a e'm &oa'!m #e0'eme$

#ef$e# a

!e'e Y1a$# Y2a'e !e 3o "00e4e +ea am+&"#e.

f !e +ea am+&"#e mea"'e# a'e $o "00e4e ," a f' +ea a$# '!+ea !e$

Loa'!m0 #e0'eme$ 'e&ae# o #am+$ fa0o' a 4e$ ,


15/24

PROCEDURE:Co$$e0 !e $'"me$ao$ 3! !e 0a$&e4e' ,eam a 'e/"'e# $ e+e'me$ $o 9. I$ae f'ee

4,'ao$ $ !e ,eam a$# 'e0o'# !e 4,'ao$ $a& $ me #oma$ o$ FFT a$a&e'. T! 3&& a++ea' a

$"o#a& $a& 3! #e0a$ am+&"#e. Mea"'e !e am+&"#e of a$ +ea a$# '!+ea afe'. Ca&0"&ae

&oa'!m0 #e0'eme$ a$# !e'e fo'm !e #am+$ fa0o' of ee&. A&o f'om !e #+&a $oe !e 0"'o' 4a&"e

of "00e4e +ea a$# #'a3 !e 'a0e o$ 'a+! +a+e'.

REFERENCE:

1) S'"0"'a& #$am0 , Ma'o Pa

2) ,'ao$ 0o$'o& , A.. Ma&&0

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: DETERMINATION OF CRITICAL SPEED OF ROTORS

EQUIPMENT/EXPERIMENTAL SETUP NAME: WHIRLING OF SHAFT SETUP

!e$ a 'oo' mo"$e# o$ a !af5 0e$'e of ma #oe $o 0o$0#e 3! !e 0e$'e&$e of !e !af. T!ee

'e"& $o a$ "$,a&a$0e# $e'a fo'0e a0$ 3!e$ !e 'oo' $ 'oao$ a$# !e 'oo' #ef&e0 a$# ,e$# o"

of !e 'oa$ 0e$'e&$e. T!e +ee# a 3!0! ! #ef&e0o$ 'ea0!e mam"m a$# !e !af 'oo' em

fo"$# o 4,'ae 4o&e$& $ 'a$4e'e #'e0o$ 0a&&e# !e 0'0a& +ee#. Sm+& a$ 0'0a& +ee#

0o''e+o$# o !e $a"'a& f'e/"e$0 of ,e$#$ 4,'ao$ of !e 'oo' em.

I$ $#"'a& a++&0ao$ 'oa$ ma0!$e a'e o ,e #e$e# 0a'ef"&& "0! !a o+e'a$ '+m 'ema$

a3a f'om !e 'oo' 0'0a& +ee#. !e$ o+e'a$ '+m !!e' !a$ f' 0'0a& +ee# ( $ 0ae of f&e,&e

'oo' "0! a "',$e) !e 'oo' !a o ,e a00e&e'ae# 0a'ef"&& !'o"! !e 0'0a& +ee# "0! !a $o m"0!me 4e$ a !e 0'0a& +ee# fo' 4,'ao$ ,"-"+.

T%&'():T!e m+&e fo'm"&a fo' a $&e #0 'oo'

( I$ ! fo'm"&a ma of !e !af $o 0o$#e'e#)


16/24

D"$e' &a> me!o# 0o$#e' ma of !e !af a$# a&o a++&0a,&e fo' m" 'oo'. T! 4e

!e'e f6 !e $a"'a& f'e/"e$0 of !af a&o$e *

A$# f $a"'a& f'e/"e$0 of !e !#0 o$ !e !af m a$# L ma a$# &e$! of !e !af 'e+e04e&.

A&& !e 'e&ao$ 4e$ a,o4e ,ae# o$ !e a"m+o$ !a !e ,ea'$ 0o$#o$ a'e e/"4a&e$ o m+&

"++o'e# 0o$#o$.

PROCEDURE: F' mea"'e !af #amee' a$# &e$! of !e !af ,e3ee$ !e ,ea'$5 ma m of !e #0.

I$a&& !e !af a&o$e 'oae# a$# +ee# 4a'e# f'om a &o3 4a&"e 'a#"a&& "+ && 0'0a& +ee#

o,e'4e# !'o"! &a'e #ef&e0o$. RPM mea"'e# 3! !e !e&+ of #a& $f'a'e# a0!omee'. T!e$ +" !e

#0 o$ !e !af a$# mea"'e !e 0'0a& +ee# $ !e ame 3a. I 3&& ,e ee$ !a !e e+e'me$a& 4a&"e a'e

/"e #ffe'e$ f'om !eo'e0a& o$e. E+&a$ 3!

REFERENCE:

1) E&eme$ of 4,'ao$ a$a& , L. Me'o40!

2) Me0!a$0a& 4,'ao$ , Te. Mo'e He$0&e

8) T!eo' of ma0!$e , S.S. Raa$ ++. ?2:-?87


17/24

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: STUDY OF FORCED VIBRATION OF A PLATE SUPPORTED ON SPRINGS MODELLED AS

SINGLE D$O$F$ SYSTEM

EQUIPMENT/EXPERIMENTAL SETUP NAME:DYNAMIC VIBRATION ABSORBER MODEL

A +'$ ma $&e #e'ee of f'ee#om mo#e& 3!e$ e0e# , a ea# ae !a'mo$0 a' 4,'a$ a !e

ame f'e/"e$0 a !a of !e e0ao$ fo'0e. T!e 4,'ao$ am+&"#e of !e ma 3&& #e+e$# "+o$ !e

e0ao$ f'e/"e$0 a$# #am+$ +'ee$ $ !e em a 4e$ "$#e'

!e'e 4,'ao$ 'e+o$e5 F6 a++&e# !a'mo$0 fo'0e5 ' !e 'ao of e0ao$ f'e/"e$0 o $a"'a&

f'e/"e$0 of !e em a$# Q #am+$ 'ao. I$ a em 3!e'e #am+$ +'ee$ 4e' &o35 +ea 'e+o$e

$o0e# a'o"$# $a"'a& f'e/"e$0.

EQUIPMENT DESCRIPTION:A /"a'e +&ae "++o'e# o$ fo"' +'$ a fo"' 0o'$e' o !a 0a$ ,e

a"me# a a $&e #e'ee of f'ee#om mo#e& $ 3!0! m !e ma of !e +&ae a$# !e e/"4a&e$

ff$e of a&& !e +'$. A$ e0e' +&a0e# ,e&o3 !e +&ae a 0e$'e +'o4#e !e e0ao$. E0e'

+&a0e# 0o$$e0e# o a$ o0&&ao' 3!0! +'o4#e !e 4a'a,&e f'e/"e$0 !a'mo$0 $a& fo' e0ao$. A$

a00e&e'omee' 3! a 4,'ao$ mee' "e# fo' 4,'ao$ mea"'eme$.


18/24

PROCEDURE: P" a$ a00e&e'omee' o$ !e +&ae a$# 0o$$e0 o !e 4,'ao$ mee'. ee+ !e e&e0o' $o, of

4,'ao$ mee' a #+&a0eme$. S30! o$ !e o0&&ao' a$# 4a' !e f'e/"e$0 f'om a &o3 4a&"e a ? H o

'a#"a&& f"'!e' o a &ea 1.? me !e 'eo$a$0e f'e/"e$0. O4e' ! f'e/"e$0 $e'4a& $oe !e 4,'ao$

'ea#$ a e4e'a& f'e/"e$0 +o$ a$# #'a3 !e 'e+o$e 0"'4e 4 3 o$ a 'a+! +a+e'. F'om !e 'e+o$e

+&o f$# !e $a"'a& f'e/"e$0 of !e +&ae a$# 0a&0"&a$ !e ma of !e +&ae f$# !e +'$ ff$e .

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: STUDY OF USE OF DYNAMIC VIBRATION ABSORBER ON A VIBRATING PLATE


I$ ma$ $#"'a& ma0!$e fo"$#ao$ em5 !e 4,'ao$ of !e ma0!$e o$ !e fo"$#ao$ 0a$ ,e mo#e&&e#

a a +'$ ma em. I$ "0! a''a$eme$ f !e e0ao$ fo'0e +'o#"0e $ !e ma0!$e !a a f'e/"e$0

$ea' o !e $a"'a& f'e/"e$0 of !e ma0!$e fo"$#ao$ em !e$ e0e4e& &a'e 4,'ao$ o00"' #"e o

'eo$a$0e. T! !a++e$ 3!e$

If a e0o$#a' +'$ ma em 3! ma M1a$# +'$ of ff$e 1 a##e# o !e +'ma' em "0!!a

T!e$ !e 4,'ao$ of !e +'ma' fo"$#ao$ em e 'e#"0e# o e'o. He$0e !e e0o$#a' +'$ ma

em 0a&&e# #$am0 4,'ao$ a,o',e' em.

PROCEDURE:F'om e+e'me$ $o. 18 3e a&'ea# $o3 !a !e $a"'a& f'e/"e$0 of +&ae -+'$ em.

E0e !e +&ae a ! f'e/"e$0 a$# $oe !e 4,'ao$ #+&a0eme$ 4a&"e. Fo' ! a$ a00e&e'omee' a$# a

4,'ao$ mee' a'e o ,e 0o$$e0e# a #0"e# ,efo'e. Ne aa0!e# !e e0o$#a' +'$ ma em a$#


19/24

aa$ e0e !e +&ae a !e ame o $a"'a& f'e/"e$0. T! me !e 4,'ao$ of !e +&ae 3&& ,e $o0e# o ,e

4e' &e 0om+a'e# o +'e4o" 4a&"e. Noe !e 4,'ao$ 'ea#$ $o3. F$# o" ma a$# ff$e of e0o$#a'

em a$# 0omme$ 3!e!e' a "$e# a,o',e' o' $o. S"e !o3 o" 0a$ "$e f"'!e' o 'e#"0e !e

4,'ao$ of !e +&ae

REFERENCE:

1) Me0!a$0a& 4,'ao$ , Rao ;"+a

2) T!eo' of 4,'ao$ , .T. T!omo$

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

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EXPERIMENTAL NO: STUDY OF USE OF TUNABLE DYNAMIC VIBRATION ABSORBER ON A MOTOR

FOUNDATION BEAM


T! e+e'me$ m&a' o e+e'me$ $o. 17 $ !e !eo'e0a& 0o$0e+ ," !e e"+ &!& #ffe'e$

I$ea# of a$ e0e' 3e !a4e a moo' a !e 0e$'e of !e "++o'$ ,eam 3!0! !a4$ ome "$,a&a$0e !a

a0 a !e o"'0e of e0ao$ a !e 'oa$ f'e/"e$0. !e$ !e 'oa$ f'e/"e$0 0&oe o !e $a"'a&

f'e/"e$0 of !e ,eamG 3!0! 0a$ ,e a"me# o ,e m+& "++o'e#G &a'e 4,'ao$ 3&& ,e $o0e# $ !e

,eam #"e o 'eo$a$0e. T!e "$ea,&e a,o',e' em 0o$ of 3o ma&& 0a$&e4e' +&ae o$ 3!0! a ma

0a$ mo4e a$# !" 4a' !e $a"'a& f'e/"e$0 of !e e0o$#a' em. T!e +oo$ of !e ma fo' 3!0! !e

e0o$#a' em $a"'a& f'e/"e$0 ma0!e 3! !a of !e +'ma' em 4e !e "$e# 0o$#o$ a !e$

!e +'ma' em 3&& !a4e e'o o' m$m"m 4,'ao$.

PROCEDURE:3! a +ee# 'e"&ao' 'a#"a&& 4a' !e +ee# of !e moo' a$# ,'$ o !e 'eo$a$0e

0o$#o$ 3!e$ &a'e 4,'ao$ 3&& ,e $o0e# $ !e "++o'$ ,eam. Noe !e 'oa$ f'e/"e$0 , a #a

a0!omee'. S30! off !e moo' a$# aa0! !e a,o',e' em a$# aa$ '"$ !e moo' o 'eo$a$

$a"'a& f'e/"e$0. A#" !e +oo$ of !e ma o !a 4,'ao$ 'e#"0e o m$m"m. Re+o' !e +oo$

of !e "$$ ma f'om f'ee e$#.


20/24

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: STUDY OF FORCE TRANSMISSIBILTY AT DIFFERENT EXCITATION

FREQUENCIES


Ma0!$e a'e ofe$ mo"$e# o$ +'$ a$# #am+e' o ee !a !e fo'0e e$e'ae# $ !e ma0!$e #oe $o e

'a$me# o !e 'o"$# o' fo"$#ao$. T! 'e/"'e# o +'oe0 o!e' ma0!$e $ !e $e!,o"'!oo# a$# o

e$"'e ,ee' o+e'a$ e$4'o$me$ fo' 3o'$ +e'o$$e&. If 3e 0o$#e' a $&e #e'ee of f'ee#om +'$

ma em $ 3!0! F6 !e fo'0e a++&e# o$ !e ma F !e 'a$me# o 'o"$# !e$ 'a$m,&

#ef$e# a

!e'e5 ' !e 'ao of e0ao$ f'e/"e$0 o $a"'a& f'e/"e$0. If !e #am+$ a,e$ o' 4e' &o3 !e$

T! mea$ 'a$m,& 3&& ,e &o3 f ' 2


21/24

PROCEDURE:T!e &oa# 0e&& 0o$$e0e# 3! !e e0e' a !e 0e$'e of !e +&ae 4e 4a&"e of F63!e'ea !e

&oa# 0e&& 0o$$e0e# 3! !e "++o'$ +'$ mea"'e !e 'a$m,& fo'0e F Co$$e0 a&& !e &oa# 0e&&

o &oa# $#0ao'. E0e !e +&ae 3! !e !e&+ of o0&&ao' a #ffe'e$ f'e/"e$0e a$# mea"'e !e &oa# 0e&&

'ea#$

F6* &oa# 0e&& 'ea#$ of o$e 0o$$e0e# 3! e0e'

F* "m of &oa# 0e&& 'ea#$ of a&& 0o$$e0e# 3! "++o'$ +'$

A 4a'o" f'e/"e$0e 'a$$ f'om : H o 2? H $oe !e 4a&"e of F 6 a$# F a$# 0a&0"&ae 'a$m,& TR

P&o !e 4a'ao$ of TR 3! f'e/"e$0 3 o$ a 'a+! +a+e'.

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

*******************************************************************************

EXPERIMENTAL NO: STUDY OF GYROSCOPE

EQUIPMENT/EXPERIMENTAL SETUP NAME: GYROSCOPE

!e$e4e' a +$$$ 0om+o$e$ !a +$$$ a 'oa$ a,o" a$o!e' a 0a&&e# +'e0eo$ a a

'ea0o$ 0o"+&e a0 o$ !e 0om+o$e$ a&o$ !'# a a$# ! 0o"+&e $o3$ a 'o0o+0 0o"+&e 4e$

,

T 'o0o+0 0o"+&e5 I mome$ of !e +$$$ #0 a$# a$# a'e 'e+e04e& !e +'e0eo$a& a$#

+$ 4e&o0.

T! 'e&ao$!+ 4a o$& "$#e' !e 0o$#o$ !a

a) S+$ 4e&o0 0o$a$

,) P'e0eo$a& 4e&o0 0o$a$5 ea# +'e0eo$

0) A$&e ,e3ee$ a of +$ a$# a of +'e0eo$ 96 #e'ee

PROCEDURE: Sa' !e moo' #'4$ !e +$$$ #0 a$# ,'$ !e +$$$ 4e&o0 o a a,&e 4a&"e

Be0a"e of &a'e $e'a of !e #0 !e a00e&e'ao$ of !e #0 3&& ,e &o3. Mea"'e !e RPM of !e #0 3!

#a& a0!omee'. B'$ !e RPM o a 4a&"e a'o"$# 1?66 RPM. P" a $o3$ ma o$ !e +a$ of !e 'o0o+e


22/24

3!0! 3&& 'e"& $ a04e 0o"+&e e/"a& o m&. T! a04e 0o"+&e 3&& mae !e +$$$ #0 +'e0e a'o"$#

!e 4e'0a& a. See !a !e +'e0eo$ $ a !o'o$a& +&a$e o !a !e a$&e ,e3ee$ !e a of +$ a$#

a of +'e0eo$ 96 #e'ee. Noe #o3$ !e a$&e of +'e0eo$ o4e' a me T a$# !" 0a&0"&ae +'e0eo$a&

4e&o0. S+$ 4e&o0 aa$ mea"'e# 3! !e a0!omee' a$# !e a4e'ae of 3o 4a&"e 0o$#e'e#. T!e$

!e mome$ of $e'a of !e +$$$ #0 0a$ ,e 0a&0"&ae# f'om !e 'e&ao$!+ 4e$ ,e&o3. A&o !e ame

0a&0"&ae# !eo'e0a&& f'om !e eome' of !e #0.

Name of !e S"#e$% ----------------------------------------------------------------------------------------- Dae% -----------------------------

Ro&&. No.% ------------------------------------------------------------------------------------------------------------- Ma'%

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EXPERIMENTAL NO: STUDY OF +UMP*OFF PHENOMENON IN A CAM FOLLOWER MECHANISM

EQUIPMENT/EXPERIMENTAL SETUP NAME: CAM-FOLLOWER MECHANISM MODEL

I$ ! e+e'me$ !e e"+ 0o$ of a$ e00e$'0 0am a$# a 'o&&e' fo&&o3e' 3! a fo&&o3e' +'$ 3!oe

+'e0eo$ 0a$ ,e a#"e#. !e$ !e 0am 'oae5 e4e'a& fo'0e ,a&a$0e ea0! o!e' a !e 0am fo&&o3e'

$e'fa0e. T!e a'e $e'a fo'0e5 +'$ fo'0e5 3e! of !e fo&&o3e'5 +'o0e &oa# e0. If #"'$ !e moo$ a

a$ me !e 0o$a0 fo'0e ,e0ome e'o !e$ !e fo&&o3e' 3&& &ooe 0o$a0 3! !e 0am a$# mo4e

$#e+e$#e$& && !e 0o$a0 ea,&!e#. T! +!e$ome$o$ 0a&&e# J"m+-off +ee#. J"m+-off +ee#

#e+e$# o$ 0am +'of&e5 +e of fo&&o3e'5 +'$ ff$e a$# +'e&oa#5 fo&&o3e' ma e0. Fo' #ffe'e$ "m+-off

+ee# fo' 'o&&e' fo&&o3e' 3&& ,e #ffe'e$ f'om f&a fa0e fo&&o3e' e4e$ f 0am a$# fo&&o3e' !$ a'e ame.

PROCEDURE:F$# o" a&& 'e/"'e# $fo'mao$ &e 0am e00e$'05 fo&&o3e' ma +'$ ff$e e0. De'4e

!e e/"ao$ fo' 0o$a0 fo'0e a !e 0am fo&&o3e' $e'fa0e fo' ! +a'0"&a' 0om,$ao$ a$# 0a&0"&ae !e

"m+-off +ee#. T!e$ a' 'oa$ !e 0am a$# 'a#"a&& $0'eae !e +ee# && !e $oe 0!a'a0e'0 0!a$e

a&& of a "##e$ $#0a$ "m+-off. Mea"'e !e +ee# $o3 3!0! 0a$ ,e 0o$#e'e# a !e "m+-off +ee#. A

,ee' 3a of #e$f$ !e "m+-off o mea"'e !e fo&&o3e' moo$ , a $o$ 0o$a0 +e +'o,e a$#

o,e'4e !e #+&a o$ a$ o0&&o0o+e. T!e #e'4ao$ fo' !e "m+-off +ee# o ,e #o$e , !e "#e$ a$#

o ,e 'e+o'e# a&o$ 3! a e0! of !e 0am fo&&o3e' me0!a$m.


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46256485 Theory of Machine Practicals

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