VIDYAVARDHAKA COLLEGE OF ENGINEERING
MECHANICAL ENGINEERING DEPARTMENT
Test Internals I, 16TH MARCH 2012Sub Code: - 06ME62 Duration: -
60 Minutes
Sub Name: - Mechanical Vibrations Max. Marks: - 25
Sub Faculty: - Manjunatha Babu N S
Note: i) Answer any ONE full question
ii) Sketch using pencil only.
1. a) Name the types of vibration? Determine the undamped
natural frequency of vibration for a simple spring-mass system with
a neat sketch.
(2+6=8M)b) Explain the principle of superposition as applied to
SHM? Define: i) Resonance ii) Amplitude iii) Degrees of
freedom.
(5+3=8M)
c) Figure1 below shows the string is under constant tension T
for small displacement. Determine the natural frequency of the
vertical vibration of the mass for small displacement.
(2+3+3+1=9M)2. a) Find the natural frequency of torsional
oscillations for the system shown in figure2. Take G=0.83e11 N/m2,
I=14.7 Kg-m2.
(2+6=8M)b) Show that x = e-Wnt (1+Wnt) for the critically damped
system.
(8M)
c) Differentiate b/w free and forced vibration with an example?
For the system shown in figure3, K1= 10 N/mm, K2= 20 N/mm, K3= 5
N/mm, K4= 10 N/mm, m= 2kg. Find the natural frequency of the
system.
(4+5=9M)3. a) Determine the general differential equation,
critical damping coefficient, damping ratio for a simple
spring-mass-dashpot system.
(2+2+2+2=8M)
b) In an indicator mechanism as shown in figure4, the arm
pivoted at point o has a mass moment of inertia I. Find the natural
frequency of the system by law of conservation of energy.
(2+2+3+2=9M)c) What are the causes for vibrations? Determine the
natural frequency of the system shown in figure5 for small angular
displacement.
(3+5=8M)Note: i) Answer any ONE full question
ii) Sketch using pencil only.
1. a) Name the types of vibration? Determine the undamped
natural frequency of vibration
for a simple spring-mass system with a neat sketch.
(8M)b) Explain the principle of superposition as applied to SHM?
Define: i) Resonance ii)
Amplitude iii) Degrees of freedom.
(8M)
c) Figure1 below shows the string is under constant tension T
for small displacement.
Determine the natural frequency of the vertical vibration of the
mass for small
displacement.
(9M)
2. a) Find the natural frequency of torsional oscillations for
the system shown in figure2.
Take G=0.83e11 N/m2, I=14.7 Kg-m2.
(8M)b) Show that x = e-Wnt (1+Wnt) for the critically damped
system.
(8M)
c) Differentiate b/w free and forced vibration with an example?
For the system shown in
figure3, K1= 10 N/mm, K2= 20 N/mm, K3= 5 N/mm, K4= 10 N/mm, m=
2kg. Find
the natural frequency of the system.
(9M)
3. a) Determine the general differential equation, critical
damping coefficient, damping ratio
for a simple spring-mass-dashpot system.
(8M)
b) In an indicator mechanism as shown in figure4, the arm
pivoted at point o has a mass
moment of inertia I. Find the natural frequency of the system by
law of conservation of
energy.
(9M)
c) What are the causes for vibrations? Determine the natural
frequency of the system
shown in figure5 for small angular displacement.
(8M)
