== UNIT 6: ENERGY AND MOMENTUM OF ROTATING SYSTEMS == Rotational systems: combine translational + rotational energy Rolling objects: total KE = KE_trans + KE_rot Solid sphere: I = 0.5*M*R^2 Hollow sphere: I = 2/3*M*R^2 Disk/cylinder: I = 0.5*M*R^2 Hoop: I = M*R^2 Angular impulse: J_ang = τ*Δt = ΔL Angular momentum conserved if Στ_ext = 0 Collisions of rotating systems Rolling friction vs static friction (no slip = static) Angular momentum conservation in collisions Energy conservation includes rotational terms Angular momentum transfer between objects Rotational energy transfer via work