Worksheet #6 Name Question (5 pts):

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Phys 505
Fall 2009
Worksheet #6
Friday, November 13, 2009
Name
Question (5 pts):
Consider a mass m oscillating under an influence of an ideal spring (with spring constant
k). Such motion can be described by:
d 2 x(t )
 kx(t )  0
dt 2
It is also known that at t = 0, x(0) = x0 and x’(0)=0.
m
1) Apply the Laplace transform to this equation and obtain x(s).
2) Take an inverse Laplace transform (using tables) of x(s) to find x(t).
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