- #1
craigthecraig
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I have no idea where to start with springs,I like to blame my lecturer...
Anyway I have a past paper and there's a question that goes something like this
A particle of mass m hangs freely suspended by a light elastic spring of stiffness k.
In equilibrium, the extension of the spring is d. If x is used to measure the downward displacement of the particle beyond its equilibrium position,show that the equation of motion for the particle is
..
x+(g/d)x=0 t>0 (The first x is x double dot,or acceleration)
where g is acceleration due to gravity.
It seems like a simple enough problem,I just don't know where to begin.Any ideas?
Anyway I have a past paper and there's a question that goes something like this
A particle of mass m hangs freely suspended by a light elastic spring of stiffness k.
In equilibrium, the extension of the spring is d. If x is used to measure the downward displacement of the particle beyond its equilibrium position,show that the equation of motion for the particle is
..
x+(g/d)x=0 t>0 (The first x is x double dot,or acceleration)
where g is acceleration due to gravity.
It seems like a simple enough problem,I just don't know where to begin.Any ideas?