$4$

$46$

larr Pulse

Assignment $2-22024$

$01$:$11$:$43$

$3$ of $4$

$\frac{-}{2\mathrm{.}5}$

A portion of a mechanical coin sorter works as follows: Pennies and dimes roll down the $18$ incline, the last triangular portion of which pivots freely about a horizontal axis through $O.$ Dimes are light enough $(2\mathrm{.}28$ grams each$)$ so that the triangular portion remains stationary, and the dimes roll into the right collection column. Pennies, on the other hand are heavy enough $(3\mathrm{.}06$ grams each$)$ so that the triangular portion pivots clockwise, and the pennies roll into the left collection column. Determine the moment about $O$ of the weight of the penny in terms of the slant distance $s$ in millimeters. Derive a general expression and then evaluate your answer for $s=5\mathrm{.}8mm.$ The moment is positive if counterclockwise, negative if clockwise.

Answer: $M_O=$

i

$-{?}^{1.mm}$