B.Tech. [SEM VI (ME-61, 62, 63, 64, 65 & 66)] QUIZ...

SH

Tim

Note:

Q1. W Q2. W

da

Q3. Re

Q4. Wm

RI RAM

me: 1 hou

Attempt a

What is vibrat

Write the diffamped vibra

epresent the

What is the em=1.5 kg, det

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tion? Discus

ferential equations and th

following p

equation of mtermine the c

OP MEM

Tech. [SEM

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(Qu

ss the variou

uation of moe damping r

periodic moti

motion for tcritical damp

MORIAL C

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CHANICA

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PARuestions fro

s sources wh

otion for theratio for the s

PA

ion into serie

the vibrationping coeffici

COLLEG

E-61, 62, 6Z TEST-1

n : 2013-14)

AL VIBR

ME-024)

oll No.

RT – A om Tutoria

hich are resp

e system shosystem.

ART – B

es of harmon

n system shoient.

E OF EN

63, 64, 651

RATION

l Sheet)

ponsible for t (Q.No.

own in figure (Q.No.15)

nic motion.

own? If a=0

NGG. & M

5 & 66)]

N

M

the vibration1) e and find th)

0.10m, b=0.1

MANAGE

Max. Ma

(To be filled b

[10 M

n. he natural fr

[20

13m, k= 490

AcaRefer/W

EMENT

arks: 30

by the Student)

Marks]

[1+4=5]frequency of [2+1+2=5]

0 Marks]

[7]

00N/m and [5]

demic/26 WI/ACAD/18

f

EME-024/Mr. Parmod Kumar Page- Date: 01 /03/2014

Q5. In an indicator mechanism shown, the crank arm is pivoted at point O and has a mass moment of inertia I. Find the natural frequency of the system. [8]

________X__________

EME-024/ Mr. Parmod Kumar Page- Date:

SHRI RAMSWAROOP MEMORIAL COLLEGE OF ENGG. & MANAGEMENT

B.Tech. [SEM VI (ME-61, 62, 63, 64, 65 & 66)] QUIZ TEST-1

(Session : 2013-14)

MECHANICAL VIBRATION

Time: 1 hour (EME-024) Max. Marks: 30

Roll No.

(To be filled by the Student) Note: Attempt all questions. PART – A [10 Marks]

(Questions from Tutorial Sheet)

Q1. A cylinder of radius r and mass M rolls on a circular surface of radius R without slipping. Determine the natural frequency for small oscillation of the cylinder about the lowest point. (Q.No.12) [5]

Q2. Explain the vector representation of harmonic motion. What are average and root mean square amplitude? (Q.No.2) [3+2=5]

PART – B [20 Marks] Q3. Represent the following periodic motion into series of harmonic motion. [7]

Academic/26 Refer/WI/ACAD/18

Q4. Wm

Q5. InFi


n an indicatoind the natur


or mechanismral frequency


m shown, thy of the syst


e crank armtem.

______

n system shoient.

m is pivoted a

___X______

own? If a=0

at point O an

_____

0.10m, b=0.1

nd has a ma

13m, k= 490

ss moment o

00N/m and [5]

of inertia I. [8]

SH

Tim

Note:

Q1. Re

Q2. Thdiasam(a)(b)(c)As

Q3. Re

Q4. Wm

RI RAM

me: 1 hou

Attempt a

epresent the i) 3+j4

he disc of a tameter of 10me side of th) Logarit) Dampin) The pessume for the

epresent the


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B.T

ur

ll questions

following cii) -3-j4

torsional pen

0cm and lenghe rest positithmic decreng torque at riodic time oe brass shaft

following p


OP MEM

Tech. [SEM

MEC

s.

(Qu

omplex num4 ndulum has gth of 40cmion are 9⁰ , 6ement,

unit velocityof vibration t, G= 4.4 X 1

periodic moti


MORIAL C

M VI (MEQUIZ

(Session

CHANICA

(EM Ro

PAuestions fro

mbers in expo a moment o

m. when the p6⁰ and 4⁰ for

y, and

1010 N/m2

PAR

ion into serie


COLLEG

E-61, 62, 6Z TEST-1

n : 2013-14)

AL VIBR

ME-024)

oll No.

ART – A om Tutoria

onential form

of inertia of 6pendulum isr successive

RT – B

es of harmon

n system shoient.

E OF EN

63, 64, 651

RATION

l Sheet)

ms. (Q.No.7)

600 kg-cm2. s vibrating incycles. Dete

(Q.No.1

nic motion.

own? If a=0

NGG. & M

5 & 66)]

N

M

The brass sn viscous oiermine:

14)

0.10m, b=0.1

MANAGE

Max. Ma

(To be filled b

[10 M

[

haft of pendl, the amplit

[20

13m, k= 490

AcaRefer/W

EMENT

arks: 30

by the Student)

Marks]

2.5+2.5=5]

dulum has a tude on the

[1+2+2]

0 Marks]

[7]

00N/m and [5]

demic/26 WI/ACAD/18

EME-024/Mr. Parmod Kumar Page- Date: 01/03/2014

Q5. In an indicator mechanism shown, the crank arm is pivoted at point O and has a mass moment of inertia I. Find the natural frequency of the system. [8]

________X__________

Tim

Note: A

Q1. A WFi

Q2. Finno

Q3. Re

SHRI RA

me: 1 hou

Attempt all

force FosinωWhere Fo = 10

ind the work

nd the natura slip betwee

epresent the

AMSWARO

B.T

ur

questions.

ωt acts on a 00 N, Xo= 0k done durin

al frequencyen cord & pu

following p

OOP MEM

Tech. [SEM

MEC

(Qu

displacemen.02 m, ω= 2π

ng (a) First cy

y of the systeulley. The po

periodic moti

MORIAL CM VI (ME

QUIZ(Session

CHANICA

(EM Ro

PAuestions fro

nt Xo sin(ωt-π rad/s ycle (b) Fir

em shown bolar moment

PA

ion into serie

COLLEGE

E-61, 62, 6Z TEST-1

n : 2013-14)

AL VIBR

ME-024)

oll No.


- )

rst second (

y using enerof inertia of

ART – B

es of harmon

E OF ENG

63, 64, 651

RATION

l Sheet)

(c) First quar (Q.No.8

rgy method. f the pulley, (Q.No.11

nic motion.

GG. & MA

5 & 66)]

N

M

rter second. )

Assume theJ=mr2/2.

1)

ANAGEME

Max. Ma

(To be filled b

[10 M

e cord inexte

[20

AcaRefer/W

ENT

arks: 30

by the Student)

Marks]

[2+2+1]

ensible and

[5]

0 Marks]

[7]

demic/26 WI/ACAD/18

Q4. Wm

Q5. InFi


n an indicatoind the natur


or mechanismral frequency


m shown, thy of the syst


e crank armtem.

______

n system shoient.

m is pivoted a

___X______

own? If a=0

at point O an

_____

0.10m, b=0.1

nd has a ma

13m, k= 490

ss moment o

00N/m and [5]

of inertia I. [8]

EME-02D 0

SH

Tim

Note: A

Q1. Wm

Q2. Ada(a(b

Q3. Re

Q4. Wm

24/Mr. Parmod K1/03/2014

RI RAM

me: 1 hou

Attempt all

Write a short maximum and

x1 =x2 =

A machine ofamping. Thea) The dib) The displa

epresent the


Kumar

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B.T

ur

questions.

note on beatd minimum = 3 sin 40t = 4 sin 41t

f mass 18kge system is inisplacement acement and

following p


OP MEM

Tech. [SEM

MEC

(Qu

ts phenomenamplitude o

g is supportenitially at reand velocity

d velocity aft

periodic moti


MORIAL C

M VI (MEQUIZ

(Session

CHANICA

(EM Ro

PAuestions fro

non. A body f combined

ed on springst and a veloy of machineter 0.4s.

PA

ion into serie


COLLEG

E-61, 62, 6Z TEST-1

n : 2013-14)

AL VIBR

ME-024)

oll No.


describes thmotion and

gs of total socity of 120me as a functio

ART – B

es of harmon

n system shoient.

E OF EN

63, 64, 651

RATION

l Sheet)

he followingthe beat freq

(Q.No.6

stiffness 12Nmm/s is impaon of time. (Q.No.13

nic motion.

own? If a=0

NGG. & M

5 & 66)]

N

M

g two motionquency.

6)

N/mm and darted to the m

3)

0.10m, b=0.1

Pag

MANAGE

Max. Ma

(To be filled b

[10 M

ns simultaneo

dashpot of 0machine. De

[20

13m, k= 490

AcaRefer/W

ge-

EMENT

arks: 30

by the Student)

Marks]

ously. Find

[3+2=5]

0.2 N-s/mm etermine:

[3+2=5]

0 Marks]

[7]

00N/m and [5]

ademic/26 WI/ACAD/18


Q5. In an indicator mechanism shown, the crank arm is pivoted at point O and has a mass moment of inertia I.

Find the natural frequency of the system. [8]

________X__________




(Session : 2013-14)

MECHANICAL VIBRATION Time: 1 hour (EME-024) Max. Marks: 30

Roll No.



Q1. Discuss the following with respect to a forced vibration with damping: (i) Magnification factor (ii) Phase angle v/s frequency ratio

(Q.No.4) [2+3=5] Q2. Determine the power required to vibrate a spring- mass- dashpot system with amplitude of 1.5 cm and at a

frequency of 100 Hz. The system has a damping factor of 0.05 and a damped natural frequency of 22 Hz as found out from the vibration record. The mass of the system is 0.5kg. (Q.No.13) [5]

PART – B [20 Marks] Q3. A radio set of 20 kg mass has to be isolated from a machine vibrating with an amplitude of 0.05 m at a

speed of 500 rpm. The set is mounted on four isolators, each having a spring scale of 31400 N/m and damping factor of 392 N-s/m. Determine: (a) Amplitude of vibration of radio set. (b) Dynamic load on each isolator due to vibration

[3+4=7]

Q4. A single cylinder petrol engine of total mass of 320 kg is mounted on a steel chassis frame and causes a vertical static deflection of 0.2 cm. The reciprocating parts of the engine have a mass of 24 kg and move through a vertical stroke of 15 cm with simple harmonic motion. A dashpot is provided which has damping resistance of 490 N at 0.3m/s. Determine: (a) Speed of the driving shaft at which resonance will occur. (b) Amplitude of steady state forced vibrations when the driving shaft of engine rotates at 480 rpm. [1+5=6]

Q5. A device is used to measure torsional acceleration consist of a ring having a moment of inertia of 0.049 kg-m2 connected to a shaft by a spiral spring having a scale of 0.98 N-m/rad, and a viscous damper having a constant of 0.11 N-m-sec/ rad. When the shaft vibrates with a frequency of 15 cpm, the relative amplitude between the ring and the shaft is found to be 2 degree. What is the maximum acceleration of the shaft? [7]



________X__________

EME-024/ Mr. Parmod Kumar Page- Date: 22 /03/2014



(Session : 2013-14)


Roll No.


(Questions from Tutorial Sheet) Q1. A machine component having a mass of 2.5 kg vibrates in a viscous medium. When a harmonic force of 30N is

impressed on the components and cases resonant amplitude of 14mm with a period of 0.22 second then find out the following:

(i) Damping coefficient (ii) If frequency of exciting force is changed to 4Hz, find out the increase in the amplitude of the forced

vibrations when the damper is removed. (Q. No. 5) [2+3=5] . Q2. A seismic instrument with a natural frequency of 6Hz is used to measure the vibration of a machine operating at

120rpm. The relative displacement of seismic mass is 0.05mm. Determine the amplitude of vibration of the machine. Neglect damping. (Q.No.12) [5]



[3+4=7]





________X__________

EME-024/Mr. Parmod Kumar Page-1 Date: 22 /03/2014



(Session : 2013-14)


Roll No.



Q1. A periodic torque having a maximum value of 0.588 N-m at a frequency corresponding to 4 radians per second is impressed upon a flywheel suspended from a wire. The wheel has a moment of inertia of 0.12kg-m2 and the wire has a stiffness of 1.176 N-m/rad. A viscous dashpot applies damping couple of 0.392 N-m at an angular velocity of 1 rad/sec. Calculate

(a) The maximum angular displacement from rest position, (b) The maximum couple applied to dashpot and (c) The angle by which the angular displacement lags the torque. (Q.No.6) [2+2+1=5]

Q2. Discuss the forced vibration of spring, mass & damper system due to excitation of support for relative motion of mass with respect to support. (Q.No.8) [5]

PART – B [20 Marks] Q3. Q3. A radio set of 20 kg mass has to be isolated from a machine vibrating with an amplitude of 0.05 m at a


[3+4=7]




EME-024/Mr. Parmod Kumar Page-1 Date: 22 /03/2014

________X__________




(Session : 2013-14)


Roll No.



Q1. Show that for the damped spring-mass system, the peak amplitude occurs at frequency ratio given by expression = 1 2 (Q.No.3) [5]

Q2. A machine of mass 100kg is supported on spring of total stiffness 7.84 X 105 N/m. it has an unbalanced rotating element which result in a disturbing forces of 392 N at a speed of 3000 rpm. Assuming a damping factor of ζ=0.20, determine

(a) The amplitude of motion due to unbalance, (b) The transmissibility, and (c) The transmitted force (Q.No. 7) [2+2+1=5]



[3+4=7]



________X__________





(Session : 2013-14)


Roll No.



Q1. Discuss in detail the term force transmissibility when a sinusoidal force is applied on spring, mass & damper system. (Q.No.10) [5]

Q2. A 75 kg machine is mounted on spring of stiffness k=11.76 X 105 with an assumed damping factor of ζ=

0.20. A 2 kg piston within the machine has a reciprocating motion with a stroke of 0.08m and a speed of 3000 r.p.m. Assuming the motion of the system to be harmonic, determine the amplitude of vibration of the machine and the vibratory force transmitted to the foundation.

(Q.No.11) [3+2=5] PART – B [20 Marks] Q3. A radio set of 20 kg mass has to be isolated from a machine vibrating with an amplitude of 0.05 m at a


[3+4=7]





________X__________

SH

Tim

Note:

Q1. WQ2. D

m G

Q3. A

am

RI RAM

me: 1 hou

Attempt a

Write a note oDetermine themasses fixed Given m1=m2

two degree mplitudes an

SWAROO

B.T

ur

ll questions

on dry frictioe natural freqon a tightly

2=m and L1=L

of freedom nd two natur

OP MEM

Tech. [SEM

MEC

s.

(Qu

on damper. quencies and stretched striL2=L3=L.

system has mal frequenci

MORIAL C

M VI (MEQUIZ

(Session

CHANICA (EM

Ro

PARuestions fro

mode shape

ing as shown

PAR

m1=1.5kg, mes of vibrati

COLLEG

E-61, 62, 6Z TEST-3

n : 2013-14)

AL VIBRME-024)

oll No.

RT – A om Tutoria

s of the givenn in figure.

RT – B

m2=0.80kg, kon.

E OF EN

63, 64, 653

RATION

l Sheet)

n transverse

(Q.No

k1=k2=40N/m

NGG. & M

5 & 66)]

N M

(Q.No. 1vibration sys

(Q.No.2)

m as shown.

MANAGE

Max. Ma

(To be filled b

[10 M

1) stem consisti

[20

Determine t

AcaRefer/W

EMENT

arks: 30

by the Student)

Marks]

[5] ing of two

[3+2=5]

0 Marks]

the ratio of [2+3=5]

demic/26 WI/ACAD/18

EME-024/Mr. Parmod Kumar Page- Date: 14 /04 /2014

Q4. Two similar disc of weight 400 N and radius of gyration 40cm are attached to the two opposite of shaft of

60cm length. The shaft has a diameter of 7.5 cm for the end of first 25 cm length, 12.5 cm diameter for the next 10 cm length and 8.5 cm diameter for the remaining length. Find the frequency of free torsional vibration and position of the node. Take G=0.84 X 1011 N/m2. [5+3=8]

Q5. A compressor runs at 5000 rpm with forcing frequency near to its natural frequency. Design a suitable vibration absorber for the system so that the nearest frequency should be atleast 20% away from the forcing frequency. Assume mass of machine as 30kg. [7]

________X__________

SH

Tim

Note:

Q1) Dm

. Q2) D.

Q3. A

of

Q4. Tw60nevi

RI RAM

me: 1 hou

Attempt a

Derive the eqm1=196kg, m

iscuss in det

A two degreef amplitudes

wo similar d0cm length. ext 10 cm libration and

SWAROO

B.T

ur

ll questions

quation of mm2=49kg, k1=

tail the princ

e of freedoms and two nat

disc of weighThe shaft ha

length and 8position of t

OP MEM

Tech. [SEM

MEC

s.

(Qumotion of the =98000N/m &

cipal modes

m system hastural frequen

ht 400 N anas a diamete8.5 cm diamthe node. Ta

MORIAL C

M VI (MEQUIZ

(Session

CHANICA (EM

Ro

PAuestions frovibrating sy

& k2=19600N

of vibration

PAR

s m1=1.5kg, ncies of vibr

nd radius of ger of 7.5 cm meter for theake G=0.84 X

COLLEG

E-61, 62, 6Z TEST-3

n : 2013-14)

AL VIBRME-024)

oll No.

ART – A om Tutoriastem shown

N/m.

for two deg

RT – B

m2=0.80kg,ration.

gyration 40cfor the end e remainingX 1011 N/m2

E OF EN

63, 64, 653

RATION

l Sheet) in figure &

gree of freedo

, k1=k2=40N

cm are attachof first 25 cm

g length. Fin2.

NGG. & M

5 & 66)]

N M

determine th

(Q

om system. (Q

N/m as show

hed to the twm length, 12nd the frequ

MANAGE

Max. Ma

(To be filled b

[10 M

he natural fre

Q.No.5)

Q.No.1)

[20

wn. Determin [2+

wo opposite 2.5 cm diamuency of fre

AcRefer/W

EMENT

arks: 30

by the Student)

Marks]

equencies if

[2+3=5]

[5]

0 Marks]

ne the ratio +3=5]

of shaft of meter for the ee torsional

[5+3=8]

cademic/26 WI/ACAD/18


Q5. A compressor runs at 5000 rpm with forcing frequency near to its natural frequency. Design a suitable vibration absorber for the system so that the nearest frequency should be atleast 20% away from the forcing frequency. Assume mass of machine as 30kg. [7]

________X__________

SH

Tim

Note:

Q1. Dm

Q2. De

Q3 A

am

Q4. Tw60nevi

RI RAM

me: 1 hou

Attempt a

etermine themoment of ine

efine princip

two degree omplitudes an


SWAROO

B.T

ur

ll questions

e natural freqertia J1 & J2 a

al co-ordinat

of freedom snd two natur



OP MEM

Tech. [SEM

MEC

s.

(Qu

quencies andand coupled b

tes. Explain t



MORIAL C

M VI (MEQUIZ

(Session

CHANICA (EM

Ro

PAuestions fro

d mode shapeby shaft of to

the various c

PAR



COLLEG

E-61, 62, 6Z TEST-3

n : 2013-14)

AL VIBRME-024)

oll No.


es of the givorsional stiffn

riteria for the

RT – B

m2=0.80kg, kon.


E OF EN

63, 64, 653

RATION

l Sheet)

ven torsionalness kt.

e selection of

k1=k2=40N/m


g length. Fin2.

NGG. & M

5 & 66)]

N M

system cons

(Q.Nf principal co

(Q.N

m as shown.


MANAGE

Max. Ma

(To be filled b

[10 M

sisting of tw

No.4) oordinates. o.10)

[20

Determine t


AcaRefer/W

EMENT

arks: 30

by the Student)

Marks]

wo disc with

[3+2=5]

[2+3=5]

0 Marks]


of shaft of meter for the ee torsional [5+3=8]

demic/26 WI/ACAD/18


Q5. A compressor runs at 5000 rpm with forcing frequency near to its natural frequency. Design a suitable vibration absorber for the system so that the nearest frequency should be at least 20% away from the forcing frequency. Assume mass of machine as 30kg. [7]

________X__________

Tim

Note: A

Q1. DiQ2. Fi

Q3. A

am

Q4. Tw60nevi

SHRI RA

me: 1 hou

Attempt all

iscuss in detaind the natura



AMSWARO

B.T

ur

questions.

ail the Frahmal frequency




OOP MEM

Tech. [SEM

MEC

(Qu

m Vibration aof the system



MORIAL CM VI (ME

QUIZ(Session

CHANICA (EM

Ro

PAuestions fro

absorber. m shown in fi

PA



COLLEGE

E-61, 62, 6Z TEST-3

n : 2013-14)

AL VIBRME-024)

oll No.


figure.

ART – B

m2=0.80kg, kon.


E OF ENG

63, 64, 653

RATION

l Sheet)

k1=k2=40N/m


g length. Fin2.

GG. & MA

5 & 66)]

N M

(Q.No.8

(Q.No.

m as shown.


ANAGEME

Max. Ma

(To be filled b

[10 M

8)

7)

[20

Determine t


AcaRefer/W

ENT

arks: 30

by the Student)

Marks]

[5]

[5]

0 Marks]


of shaft of meter for the ee torsional [5+3=8]

demic/26 WI/ACAD/18

EME-024/ Mr. Parmod Kumar Page- Date: 14/04 /2014

Q5. A compressor runs at 5000 rpm with forcing frequency near to its natural frequency. Design a suitable vibration absorber for the system so that the nearest frequency should be at least 20% away from the forcing frequency. Assume mass of machine as 30kg. [7]

________X__________

EME-02D t 1

SH

Tim

Note: A

Q1. Pro

Q2. Dm

G Q3. A

am

24/Mr. Parmod K4 /04/2014

RI RAM

me: 1 hou

Attempt all

rove that theotating body.

etermine the

masses m1 & iven m1=m2=


Kumar

SWAROO

B.T

ur

questions.

e natural frequ

e natural freqm2 suspend=m and l1=l2


OP MEM

Tech. [SEM

MEC

(Qu

uency of the

quencies andded by string

2=L.


MORIAL C

M VI (MEQUIZ

(Session

CHANICA (EM

Ro

PAuestions fro

centrifugal p

d mode shapof length l1

PA


COLLEG

E-61, 62, 6Z TEST-3

n : 2013-14)

AL VIBRME-024)

oll No.


pendulum ab

es of the giv& l2 as show

ART – B

m2=0.80kg, kon.

E OF EN

63, 64, 653

RATION

l Sheet)

sorber is alw

ven double pwn in figure.

k1=k2=40N/m

NGG. & M

5 & 66)]

N M

ways proporti (Q.No.9)

pendulum sys.

(Q.No.3)

m as shown.

Pag

MANAGE

Max. Ma

(To be filled b

[10 M

onal to the sp

stem consist

[20

Determine t

f AcaRefer/W

ge-

EMENT

arks: 30

by the Student)

Marks]

peed of the [5]

ting of two

[3+2=5]

0 Marks]


ademic/26 WI/ACAD/18


Q4. Two similar disc of weight 400 N and radius of gyration 40cm are attached to the two opposite of shaft of 60cm length. The shaft has a diameter of 7.5 cm for the end of first 25 cm length, 12.5 cm diameter for the next 10 cm length and 8.5 cm diameter for the remaining length. Find the frequency of free torsional vibration and position of the node. Take G=0.84 X 1011 N/m2. [5+3=8]

Q5. A compressor runs at 5000 rpm with forcing frequency near to its natural frequency. Design a suitable

vibration absorber for the system so that the nearest frequency should be at least 20% away from the forcing frequency. Assume mass of machine as 30kg. [7]

________X__________

B.Tech. [SEM VI (ME-61, 62, 63, 64, 65 & 66)] QUIZ...

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Transcript of B.Tech. [SEM VI (ME-61, 62, 63, 64, 65 & 66)] QUIZ...