PHY
1150
Chapter 13; Oscillations
about Equilibrium
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D13.1 Find the frequency of a mass on a spring oscillator with the following values for the mass and the spring constant:
mass (kg) 
spring constant ( N / m ) 

a 
1.0 
2.5 
b 
2.5 
1.0 
c 
3.0 
7.2 
d 
50 
100 
e 
80 
200 
f 
100 
250 
g 
120 
250 
h 
200 
500 
This is an excellent one to solve with a spreadsheet.
D13.2 Find the frequency of the oscillator in this arrangement with the mass attached between two springs of spring constants k _{1} and k _{2}.
The next arrangement of springs is a
little more "tricky" or more interesting. Find the frequency of the oscillator
in this arrangement with the mass attached to two springs of spring constants
k _{1}
and k _{2}
as shown in the diagram here.
And with this third arrangement, again, find the frequency of the oscillator with the mass attached to two springs of spring constants k _{1} and k _{2} as shown in the diagram here.
D13.3 How much work is done when a spring with spring constant 80 N/m is stretched 0.15 m (or 15 cm)?
D13.5 An object undergoes simple harmonic motion with an amplitude of 12 cm. At a point 8.0 cm from equilibrium, its speed is 20 cm/s. What is the period?
Caution: be very careful with the units!
D13.6 For each of the simple harmonic oscillators listed in the table below, find the velocity of the mass at the position given:
These multipledataset problems are good ones to solve with a spreadsheet. This is basically energy conservation.
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(c) 2005, Doug Davis; all rights reserved