- #1
Rijad Hadzic
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- 20
Homework Statement
A stiff spring with a spring constant of 1200 N/m is connected to a bar on the slide generator as show in figure P32.40 Assume the bar has length l = 60 x10^-2 m and mass .75 kg, and it slides without friction. The bar connects to a U shaped wire to form a loop that has width w = 40 x 10^-2 m and total resistance 25 ohms and that sits in uniform magnetic field B = .35 T. The bar is initially pulled 5x10^-2 m to the left and released so that it begins to oscillate. What is the induced current in the loop as a function of time I(t)? (Ignore any effects due to the magnetic force on the oscillating bar)
Homework Equations
The Attempt at a Solution
ε = Blv, I = ε/R
so I(t) = ( (BL) / R ) * v(t)
I(t) = .0084 * v(t)
I'm having a hard time finding the function of v(t)
I know from hookes law -kx = ma
-kx /m = a
-80 = a
-80 = d^2 x /dt
But where do I go from here? Sorry I am lost. Wasn't even sure to put this in the math forum or here..
So I know the acceleration is equal to a constant number, how do I make that in terms of time? Any help would be great..