1. Background
Simple
Harmonic Motion is a form of periodic motion in which a point of
body oscillates along a line about a central point in such a way
that it ranges an equal distance on either side of the central point
is always proportional to its distance from it. One way of visualising
SHM is to imagine a point rotating around a circle of radius r at
a constant angular velocity w. If the distance from the centre of
the circle to the projection of this point on a vertical diametre
is y at time t, this projection of the point will move about the
centre of the circle with Simple Harmonic Motion. A graph of y against
t will be a sine wave, whose equation is y = rsinwt.
We will use the mass-spring system to illustrate the concept of
Simple Harmonic Motion in this experiment. During SHM, the mass
moves upwards and downwards, changing the length of the spring.
Three forms of energy are involved in this motion - gravitational
potential, translation kinetic and elastic potential. In this lab,
you will examine the relationships between these three quantities
throughout a single cycle of motion and test the conservation of
mechanical energy.
2. Objective
|
To study
the characteristics of Simple Harmonic Motion. |
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To investigate the motion of a mass-spring system. |
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To
test the conservation of mechanical energy in Simple Harmonic
Motion. |
3. Equipment
List
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Datalogger
interface connected to a PC |
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Motion
sensor |
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Masses
and mass hanger |
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Base
and support rod with clamp |
|
Spring |
|
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