A beam is supported by a pin and a roller. A distributed load defined by the function $W(x)=(3+1\sqrt[\phantom{2}]{x})\frac{lb}{ft}$ is applied to the beam.

Values for the figure are given in the following table. Note the figure may not be to scale.

Variable Value

$d_{1}8$ ft

a$.$ Determine the magnitude of the equivalent force, $F_R$ that replaces the force system.

b$.$ Determine the location of the $F_R$ on the beam, $d,$ measured from point $0.$

Round your final answers to $3$ significant digits$/$figures$.$

$F_R=$ Ib

$d=$ ft