## Question:

Determine the equivalent resultant force and its location, measured from point O.

## Step-by-step

${ F }_{ R }$ = $\int _{ 0 }^{ L }{ { w }_{ 0 } }$ $\sin { \left( \frac { \pi x }{ L } \right) }$  $dx$ = $\frac { 2{ w }_{ 0 }L }{ \pi }$

$d$ = $\frac { \int _{ 0 }^{ L }{ x{ w }_{ 0 }\sin { \left( \frac { \pi x }{ L } \right) dx } } }{ { F }_{ R } }$ = $\frac { L }{ 2 }$