Ch 14: Angular MomentumSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Concept #1: Intro to Angular Collisions (Two discs)

Additional Problems
Two disks of identical mass but different radii (r and 2 r) are spinning on frictionless bearings at the same angular speed ω0 but in opposite directions. The two disks are brought slowly together. The resulting frictional force between the surfaces eventually brings them to a common angular velocity. What is the magnitude of that final angular velocity in terms of ω0? 1. ωf = 2/3 ω0 2. ωf = 1/5 ω0 3. ωf = 1/3 ω0 4. ωf = 1/2 ω0 5. ωf = 4/5 ω0 6. ωf = 3/5 ω0 7. ωf = 3/4 ω0 8. ωf = 2/5 ω0 9. ωf = 1/4 ω0
A stationary bicycle wheel of radius R is mounted in the vertical plane on a horizontal low friction axle. Initially the wheel is not rotating. The wheel has mass M, all concentrated in the rim (spokes have negligible mass). A lump of clay with mass m falls and sticks to the outer edge of the wheel at an angle θ as shown in the figure. Just before impact the clay has a speed v. Just after impact, what is the magnitude of the angular velocity of the wheel? 1. mvcosθ / MR 2. mv / (m + M)R 3. mv / MR 4. mvcosθ / (m + M)R 5. mvsinθ / (m + M)R 6. mv / (m + M)R 2 7. Mv / mR 8. Mvsinθ / mR 9. mv / MR 2 10. mvsinθ / MR
A disc with moment of inertia I1 = 40 kg • m2 and angular velocity ω1 = 20 rad/s is dropped on to a stationary second disc along the axis of rotation. The second disc has moment of inertia I2 = 60 kg • m2. How much rotational kinetic energy is lost? A. 3200 J B. 11300 J C. 8000 J D. 15000 J E. 4800 J
A disc with moment of inertia I1 = 40 kg • m2 and angular velocity ω1 = 20 rad/s is dropped on to a stationary second disc along the axis of rotation. The second disc has moment of inertia I2 = 60 kg • m2. What is the angular velocity of the two discs? A. 12 rad/s B. 8 rad/s C. 4 rad/s D. 20 rad/s E. 6 rad/s