A solid uniform disk of mass and radius spins at angular speed
PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems
Problem
A solid uniform disk of mass 4m and radius R spins at angular speed ω. A small mass m is glued to the rim, and an identical mass m is glued halfway to the center (at radius R/2). All parts rotate together with the disk. Rank the three components (disk, mass on rim, mass at R/2) according to the magnitude of their individual angular momenta about the disk’s center, from greatest to least.
(a) Mass on rim > disk > mass at R/2
(b) Mass on rim > mass at R/2> disk
(c) Disk > mass on rim > mass at R/2
(d) Disk > mass at R/2> mass on rim