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Damped spring (no driving force)

  • Thread starter mathman44
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Homework Statement



A block of mass m is connected to a spring the other end of which is fixed. There is also a viscous damping mechanism. The following observations have been made about the system:

1) if the block is pushed horizontally with force = mg, the static compression in the spring is "h"

2) the viscous resistive force = mg if the block moves with a known speed "u"

Questions:
a) Write the differential equation governing the horizontal oscillation of this mass in terms of m,g,h,u.
b) if u is known to be = [tex]3\sqrt(gh)[/tex] what is the angular frequency of the damped oscillation?

--solved--

thanks
 
Last edited:

Answers and Replies

  • #2
Filip Larsen
Gold Member
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Note, that the angular frequency of a damped and undamped oscillation are not exactly the same, although they are related.
 

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