Ch 14: Angular MomentumWorksheetSee 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

Solution: 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 (spoke

Problem

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