Problem $7$: $(12\%$ of Assignment Value$)$

During a wrestling match, a $105$ kg wrestler briefly stands on one hand during a maneuver designed to perplex his already moribund adversary.

Randomized Variables

$l=35\mathrm{.}5cm$

$r=2\mathrm{.}5cm$

$m=105kg$

By how much does the upper arm bone shorten in length in meters? The bone can be represented by a uniform rod $35\mathrm{.}5$ cm in length and $2\mathrm{.}5$ cm in radius with a Young's modulus of $1\mathrm{.}6{10}^{10}\frac{N}{m^2}.$

$L=$