User:Hyperquantization/Equation sandbox

Rotational Inertia

$I_{pulley}={\frac {1}{2}}MR^{2}$

$I_{ring}=MR^{2}$

$I_{brass}=MR^{2}$

$I_{disk}={\frac {1}{2}}MR^{2}$

$I_{rod}={\frac {1}{12}}ML^{2}$

Motion

$F_{net}=ma$

$\tau _{net}=I\alpha$

$x=x_{0}+v_{0}t+{\frac {1}{2}}at^{2}$

$\theta =\theta _{0}+\omega _{0}t+{\frac {1}{2}}\alpha t^{2}$

$v=r\omega$

$a=r\alpha$

Other/Derived

$F_{net}=ma=T-mg$