Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 3.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 62.0 kg diver on the board?

Answer 1

m₁=10 kg,
m₂=m₁+62=72 kg,
f₁= ω₁/2π = sqrt(k/m₁)/2 π ,
f₂=ω₂/2π = sqrt(m₂/k)/2 π,
f₂ =f₁•sqrt(m₁/ m₂)=3sqrt(10/72)=1.12 Hz.