COLLEGE OF ENGINEERING
PUTRAJAYA CAMPUS
FINAL EXAMINATION
SEMESTER 2 2013 / 2014
PROGRAMME
: Bachelor of Mechanical Engineering (Honours)
SUBJECT CODE
: MEMB343 / MEMB443
SUBJECT
: Mechanical Vibrations
DATE
: January 2014
TIME
: 3 hours
INSTRUCTIONS TO C
COLLEGE OF ENGINEERING
PUTRAJAYA CAMPUS
FINAL EXAMINATION
SEMESTER 1 2013 / 2014
PROGRAMME
: Bachelor of Mechanical Engineering (Honours)
SUBJECT CODE
: MEMB343 / MEMB443
SUBJECT
: Mechanical Vibrations
DATE
: September 2013
TIME
: 3 hours
INSTRUCTIONS TO
COLLEGE OF ENGINEERING
PUTRAJAYA CAMPUS
FINAL EXAMINATION
SEMESTER 2 2013 / 2014
PROGRAMME
: Bachelor of Mechanical Engineering (Honours)
SUBJECT CODE
: MEMB343 / MEMB443
SUBJECT
: Mechanical Vibrations
DATE
: January 2014
TIME
: 3 hours
INSTRUCTIONS TO C
COLLEGE OF ENGINEERING
PUTRAJAYA CAMPUS
FINAL EXAMINATION
SEMESTER 1 2013 / 2014
PROGRAMME
: Bachelor of Mechanical Engineering (Honours)
SUBJECT CODE
: MEMB343 / MEMB443
SUBJECT
: Mechanical Vibrations
DATE
: September 2013
TIME
: 3 hours
INSTRUCTIONS TO
FUNDAMENTAL EQUATIONS OF VIBRATIONS
Free Vibration of Single-Degree-of-Freedom Systems
Equation of Motion: mx cx kx 0
k
c
; ; cc 2m n ; d n 1 2
m
cc
n
Underdamped Response
xt Ae
nt
v0 n x0 2 x0 d 2
sind t ; A
2
d
; tan 1
x 0 d
v0 n x0
Critically Damped
MEMB343 MECHANICAL VIBRATIONS
ASSIGNMENT 2 (AUGUST 2015)
1- The two-degree-of-freedom system shown in Figure 1 consists of a uniform rigid bar of
mass m and mass moment of inertia JG about an axis passing through the mass centre of
gravity, G. The bar is
MEMB343 MECHANICAL VIBRATIONS
TEST (7th of July 2014)
1. The uniform thin disk shown in Figure 1 rolls without slip. The disk has a mass m = 1 kg
and a radius r = 40 cm. It is attached to a linear spring of stiffness 4000 N/m and a viscous
damper of unkno
The figure shown below depicts a vibratory system consists of a disc of mass m
rolling on a smooth surface without slip. An additional block of mass 2m is
connected to a pulley so that the displacement of the centre of the disc from
equilibrium is x. If t
MEMB343 MECHANICAL VIBRATIONS
ASSIGNMENT (21 January 2015)
1. Consider the two degree-of-freedom system shown in Figure 1, where m1 1 kg, m2 1
kg, k1 2 N/m, k 2 1 N/m and f 2 F2 sin(t ) N. Determine the uncoupled equations
of motion of this system using m
3- The vertical and horizontal forces, (reactions) at joints A and B of a typical cable of the
suspension bridge shown in Figure 3 are given by = 2.8 10
N and = 1.1
10
N, respectively. The cables are made of steel with a weight density of 76.5 kN/m
MEMB343 MECHANICAL VIBRATIONS
ASSIGNMENT (2 July 2013)
1. A uniform slender rod of mass m and length l is hinged at point A and is attached to
four linear springs and one torsional spring. Use the energy method to find the natural
frequency of the system