EG260
@Avril Slone 2007
EG260 Dynamics  Example Sheet
2
Single degree of freedom systems
1. Develop the equations of motion and hence obtain the natural angular frequencies of the
following systems:
i)
A massspringbar system (shown below left), assuming that the bar is light (i.e.
no mass) and rigid (i.e. cannot bend) and is hinged at the support.
ii)
The flywheel is supported at the top and is allowed to oscillate on the vertical plane (shown
below right).
2. The plate, with total mass m and radius r, is suspended by three
wires (of length
l
) and oscillates about a vertical axis through its
centre, i.e. a circular motion.
Find the mass moment of inertia
about the vertical axis,
I
G
.
Determine also the equation of
motion and the natural frequency.
3. A spherical ball of radius
R
floats half submerged in water.
If the ball is depressed slightly and
then released, determine the period of the resulting oscillation when
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This note was uploaded on 05/18/2010 for the course ENGINEERIN EG 260 taught by Professor Stone during the Spring '10 term at Swansea UK.
 Spring '10
 Stone
 Dynamics

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