A spring with a spring constant k is initially resting on the floor. A person then comes over and compre sses the spring by putting a maSs m on the spring an d pu shing it a distance A. That is A is the compression di st an ce of the spring and the amount it has been displace d from equilibrium (as shown in the figure above). Now, dearly, for some (large) values of A the spring willlaun ch the mass m up as a projectile. For other (sm all) values of A the sy stem will oscill ate. Draw a free body diagram of the system and cal cul ate A. The frequency of oscill ations of the spring, and B. For what values of A will the mass be launched upw ard like a projectile?

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solved several similar problem s before, so here's the harmonic o scillator ver sion.
PROBLEM 4: A SPRING AND A MASS
A spring with a spring constant k is initially resting on the floor. A persn
then comes over and compresses the spring by putting a mass m on the spring and
pushing it a distance A. That is A is the compression dist an ce of the spring and
the amount it has been displaced from equilibrium (as shown in the figure above).
Now, dearly, for some (large) values of A the spring will laun ch the m ass m up as
a projectile. For other (small) values of A the sy stem will oscillate. Draw a free
body diagram of the system and cal cul ate
A. The frequency of oscill ations of the spring, and
B. For what values of A will the mass be launched upw ar d like a projectile?
MunnT
Transcribed Image Text:solved several similar problem s before, so here's the harmonic o scillator ver sion. PROBLEM 4: A SPRING AND A MASS A spring with a spring constant k is initially resting on the floor. A persn then comes over and compresses the spring by putting a mass m on the spring and pushing it a distance A. That is A is the compression dist an ce of the spring and the amount it has been displaced from equilibrium (as shown in the figure above). Now, dearly, for some (large) values of A the spring will laun ch the m ass m up as a projectile. For other (small) values of A the sy stem will oscillate. Draw a free body diagram of the system and cal cul ate A. The frequency of oscill ations of the spring, and B. For what values of A will the mass be launched upw ar d like a projectile? MunnT
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