The figure shows a diver on a high bourd. The bourd can be modeled as a cantilever beatt frown the support to the end where the diver is jomping. Neglect the mass of the board tolthpsed to thic diver. It the diver. who weights $W-145$los, applies an initial displacement to the board and the response is recorded as shown in the graph, determine the equivalent stiffress and equivalent damping properties $k$ and $c$ of the board. Mark the value for the darmping constant in the multiple choice. Assume the diver is always touching the board tutring the response stiown

Gravity in US units: $g=32\mathrm{.}2f\frac{t}{s^2}=384\mathrm{.}4i\frac{n}{s^2}$

$2\mathrm{.}16lb\frac{s}{i}n$

$1\mathrm{.}27lb\frac{5}{i}n$

$1\mathrm{.}53lb\frac{s}{i}n$

$1\mathrm{.}13lb\frac{s}{i}n$