Asked by Liv
A weight hanging from the end of a spring is pulled 8 inches below its rest position. When released, the weight then exhibits simple harmonic motion, with period 1/2 second. Find an equation describing its motion
Answers
Answered by
Steve
the amplitude is 8, so
y = 8cos(kx) or 8sin(kx)
It starts with y(0) = -8, so
y = -8cos(kx)
The period is 1/2, so 2π/k = 1/2
y = -8cos(4πx)
y = 8cos(kx) or 8sin(kx)
It starts with y(0) = -8, so
y = -8cos(kx)
The period is 1/2, so 2π/k = 1/2
y = -8cos(4πx)