I = M R 2 {\displaystyle I=MR^{2}}
I = 1 2 M R 2 {\displaystyle I={\frac {1}{2}}MR^{2}}
I = 1 12 M L 2 {\displaystyle I={\frac {1}{12}}ML^{2}}
I p u l l e y = 1 2 M R 2 {\displaystyle I_{pulley}={\frac {1}{2}}MR^{2}}
I r i n g = M R 2 {\displaystyle I_{ring}=MR^{2}}
I b r a s s = M R 2 {\displaystyle I_{brass}=MR^{2}}
I d i s k = 1 2 M R 2 {\displaystyle I_{disk}={\frac {1}{2}}MR^{2}}
I r o d = 1 12 M L 2 {\displaystyle I_{rod}={\frac {1}{12}}ML^{2}}
F n e t = m a {\displaystyle F_{net}=ma}
τ n e t = I α {\displaystyle \tau _{net}=I\alpha }
τ → = r → × F → {\displaystyle {\vec {\tau }}={\vec {r}}\times {\vec {F}}}
x = x 0 + v 0 t + 1 2 a t 2 {\displaystyle x=x_{0}+v_{0}t+{\frac {1}{2}}at^{2}}
θ = θ 0 + ω 0 t + 1 2 α t 2 {\displaystyle \theta =\theta _{0}+\omega _{0}t+{\frac {1}{2}}\alpha t^{2}}
v ⊥ = r ω {\displaystyle v_{\bot }=r\omega }
a ⊥ = r α {\displaystyle a_{\bot }=r\alpha }
| x a | α + | y b | β + | z c | γ = 1 {\displaystyle \left|{\frac {x}{a}}\right|^{\alpha }+\left|{\frac {y}{b}}\right|^{\beta }+\left|{\frac {z}{c}}\right|^{\gamma }=1}
Tension (T) in the string: F n e t = m a = m g − T T = m g − m a {\displaystyle {\begin{aligned}F_{net}=ma&=mg-T\\T&=mg-ma\end{aligned}}}
