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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

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