Ch 11: Rotational Inertia & EnergyWorksheetSee 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: Parallel Axis Theorem

Additional Problems
The moment of inertia of a 1.7 kg object about its center of mass is measured to be 150 kgm2. What would the moment of inertia be for a parallel axis 15 cm from the center of mass?
A smaller disk of mass 0.15 kg sits atop a larger disk of mass 0.5 kg as shown in the figure. If the system rotates about the axis shown with an angular speed of 150 rad/s, what is the moment of inertia of the system?
A massless rod of length L has a mass m fastened at one end and a mass 2m fastened at the other end. What is the ratio of the moment of inertia about an axis through the mass m to the moment of inertia through the center of the rod? 1. 3/2 2. 4/3 3. 3/4 4. 2 5. 8/3 6. 3/8 7. 2/3 8. 1/2
Find the moment of inertia of a solid sphere of mass M = 5 kg and radius R = 0.2 m about an axis that is tangent to the sphere. 1. 4.116 2. 0.28 3. 4.032 4. 0.441 5. 0.63 6. 0.504 7. 0.378 8. 2.52 9. 2.772 10. 0.448
Small blocks, each with mass  m , are clamped at the ends and at the center of a rod of length  L  and negligible mass. Compute the moment of inertia of the system about an axis perpendicular to the rod and passing through:a) the center of the rodb) a point one-fourth of the length from one end
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass exttip{M}{M} and radius exttip{R}{R} about an axis perpendicular to the hoops plane at an edge.
A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet.