# 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)

### Moment Application

Rod of length l

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

### Moment Of Inertia

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

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

### Angular Momentum

I: moment of inertia, ω: angular velocity

$$L = I \omega$$