List of formulas related to Statics

Moment Of A force

$$ M_{\frac{F}{0}} = Fd $$

F: the force applied (N),
d: moment arm (the perpendicular distance from the axis to the line of action of the force)

Rod of length l

$$ M = F_1 d_1 = F_2 d_2 $$ $$ => \frac{F_1}{F_2} = \frac{d_1}{d_2} $$

Rod of length l

$$ l = {\frac{1}{12}} ml^2 $$

Thin circular hoop/Thin cylindrical shell

$$ l = mR^2 $$

Solid disk/Solid cylinder

$$ I = {\frac{1}{2}}mR^2 $$

Hollow sphere

$$ I = {\frac{2}{3}}mR^2 $$

I: moment of inertia, ω: angular velocity

$$ L = I \omega $$