PHYS 1750: SELECTED TOPICS in PHYSICS
LECTURE 16. Rotational Dynamics.

9.1.	Angular Acceleration
	1.	α = Δω /Δt
	2.	s = rθ, v = rω, a = rα
9.2.	Angular Kinematics
		The equations for linear motion work with r, v, a replaced by θ, ω, α
9.3.	Torque and Angular Acceleration
	1.	Imagine a small mass m out on a lever arm r with a perpendicular force F
	2.	Torque = τ = Fr = mar = mr 2α
	3.	Define moment of inertia I = mr 2
	4.	Real objects: whole object has the same α
		a.	Sum of torques = sum of moments * α
		b.	Sum of moments = I
		c.	Net torque τ = Iα
		d.	Examples of I
			Hollow cylinder: I = MR 2
			Solid cylinder: I = MR 2 /2
			Solid sphere: I = MR 2 *2/5
			Rod about center: I = ML 2 /12
			Rod about end: I = ML 2 /3

Review Questions are linked at the next lecture.
Lecture 17: Rotational KE and Angular Momentum