y = A sin 2 pi f t
y"=-A(2 pi f)^2sin 2pift = -(2 pi f)^2 y
-k y = m y"
- k y = - m (2 pi f)^2 y
(2 pi f)^2 = k/m
f = (1/2pi)sqrt(k/m)
f = (1/2pi) sqrt (200/50)
f = 1/pi = .3183098852 Hz
call it 0.318 Hz
A boy with a mass of 50 kg is hanging from a spring with
a spring constant of 200 N/m. With what frequency does
the boy bounce up and down?
1 answer
1 answer