When using a pencil eraser, you exert a vertical force of $6\mathrm{.}00$ N at a distance of $2\mathrm{.}00$ cm from the hardwood$-$ eraser joint. The pencil is $6\mathrm{.}00$ mm in diameter and is held at an angle of $20\mathrm{.}0$deg to the horizontal. $($a$)$ By how much does the wood flex perpendicular to its length? $($b$)$ How much is it compressed lengthwise?