The effective k of the diving board shown here is 1675 N/m. A heavy diver is bouncing up and down at the end of the diving board. With what frequency does he bounce up and down? How long does it take for him to complete one bounce (up and down)? What is the mass of the man?
I have no idea what to do for this… I know you're supposed to show work, but I don't even know where to start. F=1/T right?
Model it as a resonant system.
freq=1/2PI * sqrt (k/mass)
so you need the mass of the "heavy" diver.
Yes, you're on the right track! The relationship between frequency (f) and period (T) is given by f = 1/T, where f represents the frequency and T represents the period.
To find the frequency with which the diver bounces up and down, we need to know the period. The period is the time it takes for one complete cycle or bounce.
To determine the period, we can use the equation for the period of a mass-spring system: T = 2π√(m/k). Here, T represents the period, m represents the mass of the diver, and k represents the effective spring constant of the diving board.
Given that the effective spring constant (k) is 1675 N/m, we can substitute this value into the equation. However, we still need the mass (m) of the man to solve for the time period.
Do you have any additional information about the mass of the man or any other equations or values related to this problem?