2026-08-20 14:32:36: SHM

physics/Torque and Rotational Dynamics/Newton's Second Law in Rotational Form.md

@@ -0,0 +1,7 @@
+[[Torque and Rotational Dynamics]]
+
+# Summary
+* Core equation: $a_{sys}=\frac{\tau_{net}}{I_{sys}}$ 
+* Derived from F=ma
+* Angular acceleration is inversely proportional to rotational inertia.
+* Angular acceleration is directly proportional to torque.

physics/Torque and Rotational Dynamics/Rotational Equilibrium and Newton's First Law in Rotational Form.md

@@ -0,0 +1,6 @@
+[[Torque and Rotational Dynamics]]
+# Summary
+* Rotational equilibrium is keeping angular velocity constant because net torque is zero.
+* Rotational equilibrium and translational equilibrium aren't related.
+* Use force and FBDs to find all torques.
+

physics/Torque and Rotational Dynamics/Rotational Inertia.md

@@ -7,3 +7,9 @@ r is radial distance
 Several discrete objects:
 $$I_{tot}=\Sigma I_i=\Sigma m_i r^2$$
 
+# Parallel Axis Theorem
+$$I'=I_{cm}+Md^2$$
+- $I$' is rotational inertia about the parallel axis (kg⋅m²)
+- $I_{cm}$ is rotational inertia about the center-of-mass axis (kg⋅m²)
+- $M$ is the total mass of the system (kg)
+- $d$ is the perpendicular distance between the two parallel axes (m)