## Question:

Determine the magnitude of the resultant force acting at pin $A$ of the hand punch.

Given:

$F$ = $8$ $Ib$

$a$ = $1.5$ $ft$

$b$ = $0.2$ $ft$

$c$ = $2$ $ft$

## Step-by-step

$\sum { { F }_{ x } } =0;\quad \quad { A }_{ x }-F=0\quad \quad { A }_{ x }=F\quad \quad { A }_{ x }=8Ib$

$\sum { M } =0;\quad \quad { F }_{ a }-{ A }_{ y }c=0\quad \quad { A }_{ y }=F\frac { a }{ c } \quad \quad { A }_{ y }=6Ib$

${ F }_{ A }=\sqrt { { Ax }^{ 2 }+{ Ay }^{ 2 } } \quad \quad { F }_{ A }=10Ib$