Answer to Question #224698 in Classical Mechanics for April

Question

Each square in the grid is 0.50 m x 0.50 m in dimensions. Force F = 2025 N and a force H =1000N. Find the moments of each force about the points A,B,C,and D.

Answer 1

$AF=\sqrt 5,$

$BF=\frac 1{\sqrt5},$

$CF=\frac 9{\sqrt5},$

$DF=\sqrt5,$

$AH=\frac6{\sqrt{10}},$

$BH=\frac{12}{\sqrt{10}},$

$CH=\frac8{\sqrt{10}},$

$DH=\frac{11}{\sqrt{10}},$

$M_{AF}=2264~\text N\cdot \text m,$

$M_{BF}=453~\text N\cdot \text m,$

$M_{CF}=4075~\text N\cdot \text m,$

$M_{DF}=2264~\text N\cdot \text m,$

$M_{AH}=949~\text N\cdot \text m,$

$M_{BH}=1897~\text N\cdot \text m,$

$M_{CH}=1265~\text N\cdot \text m,$

$M_{DH}=1739~\text N\cdot \text m.$