Ah, I think I've got it now.
So for the system's initial energy:
K = 0 (everything is at rest)
U_{spring} = \frac{1}{2}(19 N/m)(0)^2 = 0 (the initial position is 0)
U_{gravitational} = (0.2 kg)(9.8 \frac{m}{s^2})(x)
(for this problem, I will refer to the lowest point as h=0, so initially h=x)...
Looking at the conservation of energy:
K = \frac{1}{2} kA^2\sin^2(\omega_0 t+\phi) = \frac{1}{2}mv^2
U = \frac{1}{2} kA^2\cos^2(\omega_0 t+\phi) = \frac{1}{2}kx^2
E = \frac{1}{2}kA^2 = \frac{1}{2}mv^2 + \frac{1}{2}kx^2
OK, obviously something here should help me, but I just keep...
[SOLVED] Finding the Amplitude of a spring (Simple Harmonic Motion)
First post here at PF, so forgive me if I make a faux pas. I'm trying to study for an upcoming Physics test and I'm having a bit of trouble with this.
Homework Statement
A massless spring with spring constant 19 N/m hangs...