- #1
Wesc
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Homework Statement
A 100g particle hangs freely at rest on the end of a spring of stiffness 10N/m. If
the particle is projected upwards with a speed of 2m/s, find the time taken until
it first comes to rest and the distance travelled.
Homework Equations
Well, there's F = -k.x and of course the classic F = ma .. and the normal linear motion equations? And the conservation of energy too I think...
The Attempt at a Solution
Ok, well first off this is probably wrong because I suck at Simple Harmonic Motion, but this is what I did:
I started off by finding the distance between L0 and the equilibrium position, by using m.a = k.x ... and got x = (0.1)(9.8)/(10) =0.098.
Hence, I did the following:
(0.5)(k)(x^2) + (0.5)(m)(u^2) = (0.5)(m)(V^2) ... and got V to equal 2.2272 m/s.
Then, I assumed that normal motion would resume and used "v=u+at" and "(v^2-u^2)/2a = s" to calculate the rest. I obtained t = 0.227 s and s = 0.2531 m
There are no answers available for this question unfortunately, and I've an exam on this topic tomorrow, so I was hoping that someone on this that understands SHM could help me if I'm doing this wrong? Thank you.