1
OBJECTIVE
To calculate the spring constant ‘k’ of a spring by using Hooke’s Law and N2L and
compare the results.
EQUIPMENT
1.
2support rods and clamp
2.
spring
3.
masses and hanger
4.
stopwatch
5.
2m stick
6.
TripleBeam Balance
THEORY
I
.
Using Hooke’s Law
Consider a spring suspended vertically in its equilibrium position.
Suppose you add a
mass ‘m’ to the end of the spring that displaces the spring an amount ‘x’ from
equilibrium.
x
m
m
F
s
m
g
x
Applying N2L gives:
0
x
Fm
g
k
x
mg
kx
=−
=
=
∑
1.
The graph of mg vs. x
will give a straight line with the slope of the line equal to
the spring constant ‘k’.
2.
We will take this value of ‘k’ to be the expected value.
SIMPLE HARMONIC MOTION
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II
. Using
N2L
Suppose you add a mass ‘m’ to the end of a suspended vertical spring.
The mass
displaces the spring an amount ‘x
1
’ from equilibrium.
In this position the mass is in
equilibrium. Consider displacing the spring an amount ‘x’ from the new equilibrium
position.
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 Spring '11
 Luna
 Mass, Simple Harmonic Motion, Periodic function, SHM Equation

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