Posted by Amber on Friday, May 28, 2010 at 10:11pm.
Here some facts about simple harmonic motion to help you answer these yourself.
(a) The angular frequency is w = 2 pi f radians per second.
Tha maximum velocity is w A, where a is the amplitude.
The spring constant k is related to w and M by
w = sqrt(k/m)
Compute w. You will need it later.
(b) 0.10 m is 2/3 of the maximum deflection. Potential energy is proportion do the square of deflection, and will be (2/3)^2 = 4/9 of the maximum energy, or
(4/9)*(1/2)*k*(Amplitude)^2. The velocity will be (5/9) of the maxiomum energy. Use that to solve for velocity.
(c) I already mentioned that the toal energy is (1/2)*k*(Amplitude)^2
(d) X = A cos wt
(a) 2,83ms (b) 2,11ms (c) 2,00j (d) x=acoswt .
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