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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 }

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