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3,842 solutions

Conservation of Energy with Rotation
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Q. A 2.30-m-long pole is balanced vertically on its tip. It starts to fall and its lower end does not slip. What will be the speed of the upper end of...

Intro to Rotational Kinetic Energy
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Q. A merry-go-round has a mass of 1550 kg and a radius of 7.60 m. How much net work is required to accelerate it from rest to a rotation rate of 1.00 ...

Parallel Axis Theorem
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Q. 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...

Intro to Rotational Kinetic Energy
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Q. A hollow spherical shell has mass 8.20 kg and radius 0.225 m . It is initially at rest and then rotates about a stationary axis that lies along a d...

Rotational Velocity & Acceleration
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Q. A fan blade rotates with angular velocity given by ωz(t) = γexttip{gamma }{gamma} - βexttip{eta }{beta}t2.a) Calculate the angular acceleration as ...

Intro, Units & Conversions Intro to Vectors (Basic Trigonometry) Units & Conversions Dimensional Analysis Significant Figures Uncertainty Error Geometry & Trigonometry Vector Composition & Decomposition Vector Addition & Subtraction

Intro to Motion (Kinematics) Motion with Multiple Parts Meet/Catch Problems Vertical Motion Constant Velocity Constant Acceleration Vertical Motion & Free Fall Motion On Inclined Planes Motion With Multiple Parts Motion Diagrams Motion Graphs Motion Of Multiple Objects Proportional Reasoning

Intro to 2D Motion Projectile Motion Initial Velocity in Projectile Motion Circular Motion Motion in 2D Motion in 2D & 3D With Calc Projectile Motion: Horizontal & Negative Launch Projectile Motion: Positive Launch Projectile Motion: Launch From Moving Vehicle Relative Motion

Intro to Forces + Newton's Laws Force Problems with Motion Forces with Multiple Objects Vertical Forces & Equilibrium Vertical Forces & Acceleration Forces in 2D 2D Equilibrium

Intro to Friction Kinetic Friction Static Friction Inclined Planes Inclines with Friction Forces in Connected Objects (Systems) Intro to Springs (Hooke's Law)

Intro to Calculating Work Work By Gravity & Inclined Planes Work By Variable Forces (Springs) Net Work & Kinetic Energy Power

Solving Projectile Motion Using Energy Intro to Conservation of Energy Conservative Forces & Inclined Planes Energy in Connected Objects (Systems) Springs & Elastic Potential Energy Energy with Non-Conservative Forces Motion Along Curved Paths Force & Potential Energy

Intro to Momentum Intro to Impulse Impulse with Variable Forces Intro to Conservation of Momentum Push-Away Problems Adding Mass to a Moving System Inelastic Collisions 2D Collisions Newton's Second Law and Momentum Momentum & Impulse in 2D Push-Away Problems With Energy Elastic Collisions Collisions & Motion (Momentum & Energy) Collisions with Springs Intro to Center of Mass

Rotational Position & Displacement Equations of Rotational Motion Intro to Connected Wheels Rotational Velocity & Acceleration Converting Between Linear & Rotational

Conservation of Energy with Rotation Moment of Inertia of Systems Moment of Inertia via Integration Energy of Rolling Motion Conservation of Energy in Rolling Motion Intro to Moment of Inertia Parallel Axis Theorem Intro to Rotational Kinetic Energy Rotational Dynamics of Rolling Motion

Center of Mass & Simple Balance Beam / Shelf Against a Wall Torque & Equilibrium Equilibrium with Multiple Supports Equilibrium in 2D - Ladder Problems More 2D Equilibrium Problems Equilibrium with Multiple Objects

Intro to Angular Collisions Angular Momentum of Objects in Linear Motion Intro to Angular Momentum Angular Momentum & Newton's Second Law Angular Momentum of a Point Mass Spinning on String of Variable Length Conservation of Angular Momentum !! Conservation of Angular Momentum with Energy

Intro to Springs Intro to Oscillation Oscillation Equations Energy in Oscillation Vertical Oscillation Simple Pendulum

What is a Wave? The Mathematical Description of a Wave Waves on a String Wave Interference Standing Waves Sound Waves Standing Sound Waves Sound Intensity The Doppler Effect Beats

Density Intro to Pressure Pascal's Law & Hydraulic Lift Buoyancy & Buoyant Force Fluid Flow & Continuity Equation Bernoulli's Equation Viscous Flow & Poiseuille's Law

Temperature Thermal Expansion Introduction to Heat Changes in Temperature & Heat Capacity Changes in Phase & Latent Heat Calorimetry Heat Transfer

Introduction to Ideal Gasses Kinetic Energy and Temperature Speed Distribution of Ideal Gasses

Internal Energy Introduction to Heat Capacity First Law of Thermodynamics Intro to Thermal Processes Work & PV Diagrams

Heat Engines & PV Diagrams Carnot Cycle Refrigerators Entropy and the Second Law

Electric Charge Charging Objects Conservation of Charge Coulomb's Law (Electric Force) Electric Field Parallel Plate Capacitors Electric Field Lines Dipole Moment Electric Fields in Conductors Electric Flux Gauss' Law

Electric Potential Energy Electric Potential Work From Electric Force Equipotential Surfaces

Parallel Plate Capacitors Energy Stored by Capacitor Combining Capacitors in Series & Parallel Solving Capacitor Circuits Intro To Dielectrics Dielectric Breakdown

Intro to Current Resistors and Ohm's Law Power in Circuits Microscopic View of Current Combining Resistors in Series & Parallel Kirchhoff's Junction Rule Solving Resistor Circuits Kirchhoff's Loop Rule

Magnets and Magnetic Fields Force on Moving Charges & Right Hand Rule Circular Motion of Charges in Magnetic Fields Mass Spectrometer Magnetic Force on Current-Carrying Wire Force and Torque on Current Loops

Magnetic Field Produced by Moving Charges Magnetic Field Produced by Straight Currents Magnetic Force Between Parallel Currents Magnetic Force Between Two Moving Charges Magnetic Field Produced by Loops and Solenoids Toroidal Solenoids aka Toroids Biot-Savart Law with Calculus Ampere's Law with Calculus

Magnetic Flux Faraday's Law Lenz's Law Motional EMF Transformers Mutual Inductance Self Inductance Inductors LR Circuits LC Circuits LRC Circuits

Series LRC Circuits Phasors Power in AC Circuits Phasors for Capacitors Impedance in AC Circuits RMS Current and Voltage Resonance in Series LRC Circuits Capacitors in AC Circuits Phasors for Inductors Alternating Voltages and Currents

What is an Electromagnetic Wave? Energy Carried by Electromagnetic Waves Electromagnetic Waves as Sinusoidal Waves Polarization Filters Displacement Current and Maxwell's Equations

Reflection Of Light Refraction Of Light Total Internal Reflection Ray Diagrams For Mirrors Mirror Equation Refraction At Spherical Surfaces Ray Diagrams For Lenses Thin Lens And Lens Maker Equations

Special Vs. Galilean Relativity Consequences of Relativity Lorentz Transformations