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Mechanics – For Lila
Category
Offline
Author
Cogverse Academy
Language
English
Current Status
Not Enrolled
Price
$50/month
Get Started
Take this Course
Take this Course
Current Status
Not Enrolled
Price
$50/month
Get Started
Take this Course
Course Content
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-- KINEMATICS --
Kinematics – Lecture
26 Topics
Sample Lesson
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P01-010 – Measuring Time & Position
P01-020 – Particle Model
P01-030 – Position Vector
P01-040 – Displacement Vector
P01-050 – Average Velocity Vector
P01-060 – Average Acceleration Vector
P01-070 – Instantaneous Velocity
P01-080 – Instantaneous Acceleration
P01-090 – Relationship Between Velocity & Acceleration
P01-100 – Kinematic Equations with Constant Acceleration
P01-110 – Application: Free-Fall
P01-140 – Position Vector in 3D
P01-150 – Displacement Vector in 3D
P01-160 – Average Velocity Vector in 3D
P01-170 – Average Acceleration Vector in 3D
P01-180 – Instantaneous Velocity in 3D
P01-190 – Instantaneous Acceleration in 3D
P01-200 – Angular Position & Displacement
P01-210 – Average Angular Velocity
P01-220 – Average Angular Acceleration
P01-230 – Instantaneous Angular Velocity
P01-240 – Instantaneous Angular Acceleration
P01-250 – Relationship Between Angular Speed & Acceleration
P01-260 – Kinematic Equations for Circular Motion
P01-270 – Relating Angular and Linear Quantities
P01-280 – Relative Motion in 2D
-- PROJECTILE MOTION --
Projectile Motion – Lecture
7 Topics
Sample Lesson
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P02-010 – Projectile Motion
P02-020 – Equations of Motion
P02-030 – Equation of the Path y = f(x)
P02-040 – Finding the Maximum Height
P02-050 – Property of the Path of the Projectile
P02-060 – Range of the Projectile
P02-070 – Launch Angle and Range Maximization
-- NEWTON'S LAWS --
Newton’s Laws – Lecture
13 Topics
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P03-010 – Force and Vector Representation
P03-020 – Common Forces: weight force
P03-030 – Common Forces: tension force
P03-040 – Common Forces: normal force
P03-050 – Common Forces: friction forces
P03-060 – Common Forces: spring force & Hooke’s Law
P03-070 – Free-Body Diagram
P03-080 – Net Force
P03-090 – Newton’s First Law
P03-100 – Newton’s Second Law
P03-110 – Newton’s Third Law
P03-120 – Application: ideal string
P03-130 – Application: ideal pulley
-- CIRCULAR MOTION --
Circular Motion – Lecture
14 Topics
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P04-010 – Circular Motion
P04-020 – RTZ Coordinate System
P04-030 – Direction of Acceleration
P04-040 – Components of Acceleration
P04-050 – Derivation of the Components of Acceleration
P04-060 – Uniform & Non-Uniform Circular Motion
P04-070 – Period of Revolution
P04-080 – Newton’s Second Law
P04-090 – Angular Position & Displacement
P04-100 – Instantaneous Angular Velocity
P04-110 – Instantaneous Angular Acceleration
P04-120 – Relationship Between Velocity and Acceleration
P04-130 – Kinematic Equations for Circular Motion
P04-140 – Relating Angular & Linear Quantities
-- WORK & ENERGY --
Work & Energy – Lecture
15 Topics
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P05-010 – Energy
P05-020 – Kinetic Energy
P05-030 – Gravitational Potential Energy
P05-040 – Elastic Potential Energy
P05-050 – Mechanical Energy
P05-060 – Work Done by a Force
P05-070 – Calculating the Work Done by a Force
P05-080 – Conservative Force
P05-090 – Conservative Force and Gradient of Pot. Energy
P05-100 – Work Done by the Weight Force
P05-110 – Work Done by the Spring Force
P05-120 – Work-Kinetic Energy Theorem
P05-130 – Derivation of the Work-Kinetic Energy Theorem
P05-140 – Conservation of Mechanical Energy
P05-150 – Power and Mechanical Power
-- IMPULSE & MOMENTUM --
Impulse & Moment. – Lecture
12 Topics
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P06-010 – Momentum Vector
P06-020 – Newton’s Second Law in Momentum Form
P06-030 – Conservation of Momentum
P06-040 – Impulse of a Force
P06-050 – How to Calculate an Impulse
P06-060 – Impulse-Momentum Theorem
P06-070 – Inelastic & Elastic Collisions
P06-080 – Solving Strategy: perfectly inelastic collision
P06-090 – Solving Strategy: head-on elastic collision
P06-100 – Solving Strategy: off-center elastic collision
P06-110 – Conservation of Momentum for Variable Mass Systems: the rocket equation
P06-120 – Impulse-Momentum Theorem for Variable Mass Systems
-- GRAVITATION --
Gravitation – Lecture
27 Topics
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P07-010 – Gravitational Field
P07-020 – Gravitational Force
P07-030 – The Weight Force
P07-040 – The Principle of Superposition
P07-050 – Circular Orbits: uniform circular motion
P07-060 – Circular Orbits: orbital speed
P07-070 – Circular Orbits: period of revolution
P07-080 – Gravitational Potential Energy
P07-090 – Gravitational Potential Energy for a System of Masses
P07-100 – Gravitational Potential Energy and Work
P07-110 – Conservation of Mechanical Energy
P07-120 – Nature of Orbits and Mechanical Energy
P07-130 – Escape Velocity
P07-150 – Kepler’s 1st Law: law of orbits
P07-160 – Kepler’s Second Law: law of areas
P07-170 – Kepler’s Third Law: law of periods for circular orbits
P07-180 – Kepler’s Third Law: law of periods for elliptical orbits
P07-190 – Gravitational Flux
P07-200 – Gauss’s Theorem for Gravitation
P07-210 – Computation: infinite line of mass
P07-220 – Computation: infinite cylinder of mass
P07-230 – Computation: infinite sheet of mass
P07-240 – Computation: solid sphere of mass
P07-250 – Computation: finite line of mass
P07-260 – Computation: semi-circle of mass
P07-270 – Computation: ring of mass
P07-280 – Computation: disk of mass
-- CENTER OF MASS --
Center of Mass – Lecture
11 Topics
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P08-010 – Center of Mass of a System of Particles
P08-020 – Position of the Center of Mass
P08-030 – Velocity of the Center of Mass
P08-040 – Acceleration of the Center of Mass
P08-050 – Newton’s Second Law and Center of Mass
P08-060 – Center of Mass of a Rigid Body
P08-070 – Computation: center of mass of a uniform rod of mass
P08-080 – Computation: center of mass of a uniform cylinder
P08-090 – Computation: center of mass of a uniform solid sphere
P08-100 – Computation: center of mass of a compound body
P08-110 – Computation: center of mass of a hollow body
-- SOLID ROTATION - STATICS --
Statics – Lecture
5 Topics
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P09-010 – Equilibrium of an Extended Body
P09-020 – Introduction: three simple cases
P09-030 – Reminder: cross product of two vectors
P09-040 – Torque Created by a Force
P09-050 – Equilibrium Condition for an Extended Body
-- SOLID ROTATION - DYNAMICS --
Dynamics – Lecture
10 Topics
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P10-010 – Solid Rotation
P10-020 – Angular Velocity Vector
P10-030 – Angular Acceleration Vector
P10-040 – Moment of Inertia
P10-050 – List of Moments of Inertia
P10-060 – Computation: moment of inertia of a solid rod
P10-070 – Computation: moment of inertia of a solid cylinder
P10-080 – Computation: moment of inertia of a solid sphere
P10-090 – Parallel-Axis Theorem
P10-100 – Newton’s Second Law for Rotational Motion
-- SOLID ROTATION - ENERGY & MOMENTUM --
Energy & Moment. – Lecture
11 Topics
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P11-010 – Angular Momentum
P11-020 – Newton’s Second Law in Angular Momentum Form
P11-030 – Conservation of Angular Momentum
P11-040 – Impulse-Momentum Theorem of Angular Momentum
P11-050 – Rolling Motion
P11-060 – Rolling w/o Slipping and Static Friction
P11-070 – Rotational Kinetic Energy
P11-080 – Rolling Kinetic Energy
P11-090 – Work Done by a Torque
P11-100 – Work-Kinetic Energy Theorem
P11-110 – Conservation of Energy for Rolling w/o Slipping
-- FLUIDS --
Fluids – Lecture
9 Topics
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P12-010 – Definitions for Fluids
P12-020 – Mass Density & Pressure
P12-030 – Fundamental Equation of Hydrostatics
P12-040 – Hydrostatic Pressure in a Uniform Gravitational Field
P12-050 – Buoyant Force & Archimedes’ Principle
P12-060 – Floating Condition and Neutrally Buoyant Objects
P12-090 – Volume Flow Rate & Mass Flow Rate
P12-100 – Continuity Equation
P12-110 – Bernoulli’s Equation
-- OSCILLATIONS --
Oscillations – Lecture
19 Topics
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P13-010 – Oscillatory Motion
P13-020 – Definitions: period, frequency, and amplitude
P13-030 – Modeling Oscillations Mathematically
P13-040 – Velocity & Acceleration of Oscillations
P13-050 – Maximum Speed and Maximum Acceleration
P13-060 – Methods to Determine the Phase Constant
P13-070 – Review: second-order differential equations
P13-080 – Classic Oscillators: horizontal mass-spring oscillator
P13-090 – Classic Oscillators: vertical mass-spring oscillator
P13-100 – Classic Oscillators: simple pendulum
P13-110 – Classic Oscillators: physical pendulum
P13-120 – Classic Oscillators: torsional pendulum
P13-130 – Conservation of Energy: horizontal oscillator
P13-140 – Conservation of Energy: vertical mass-spring oscillator
P13-150 – Conservation of Energy: simple pendulum
P13-160 – Conservation of Energy: physical pendulum
P13-170 – Conservation of Energy: torsional pendulum
P13-180 – Springs in Series or in Parallel
P13-190 – Modeling Damped Oscillations
-- MECHANICAL WAVES --
Mechanical Waves – Lecture
22 Topics
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P14-010 – Fundamental Definitions
P14-020 – Classification of Waves
P14-030 – One-Dimensional Sinusoidal Traveling Waves
P14-040 – Period and Wavelength
P14-050 – Speed of a Traveling Wave
P14-060 – Principle of Superposition
P14-070 – Constructive and Destructive Interference
P14-080 – Conditions for Constructive and Destructive Interference
P14-090 – Waves on a String Under Tension
P14-100 – Celerity of a Wave on a String
P14-110 – Reflection of a Wave at a Boundary
P14-120 – Standing Waves
P14-130 – Patterns, Fundamental Frequency, Harmonics
P14-140 – Soundwaves
P14-150 – Wave Equation in a Fluid
P14-160 – Standing Waves in a Column of Air
P14-170 – Column of Air Closed at Both Ends
P14-180 – Column of Air Open at Both Ends
P14-190 – Column of Air with Open/Closed Ends
P14-200 – Beats
P14-210 – Doppler Effect
P14-220 – Intensity and Sound Level
-- CALORIMETRY --
Calorimetry – Lecture
9 Topics
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P15-010 – Thermal Equilibrium: the zeroth law
P15-020 – Temperature Scales
P15-030 – Thermal Expansion of Solids
P15-040 – Phase Change of a Pure Compound
P15-050 – Heat
P15-060 – Calorimetry
P15-070 – Specific Heat & Latent Heat
P15-080 – Heat Transfer: Conduction
P15-100 – Heat Transfer: Radiation
-- KINETIC THEORY --
Kinetic Theory – Lecture
9 Topics
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P16-010 – Ideal Gas Law
P16-020 – Kinetic Theory of the Monatomic Ideal Gas
P16-030 – Kinetic Pressure & Kinetic Temperature
P16-040 – RMS Speed & Kinetic Energy
P16-050 – Mean Free Path
P16-060 – Maxwell Speed Distribution
P16-070 – Degrees of Freedom
P16-080 – Kinetic Theory of the Polyatomic Ideal Gas
P16-090 – Molar Specific Heats of an Ideal Gas
-- 1st LAW OF THERMODYNAMICS --
First Law – Lecture
18 Topics
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P17-010 – Thermodynamic Transformations of a System
P17-020 – PV Diagram & Processes
P17-030 – Internal Energy
P17-040 – First Law of Thermodynamics
P17-050 – Work Done by an Ideal Gas
P17-060 – Heat Transfer for an Ideal Gas
P17-070 – Free Expansion
P17-080 – Thermal Devices
P17-090 – Heat Engine
P17-100 – Efficiency of a Heat Engine
P17-110 – Carnot Cycle
P17-120 – Otto Cycle
P17-130 – Diesel Cycle
P17-140 – Brayton Cycle
P17-150 – Stirling Cycle
P17-160 – Refrigerators & Heat Pumps
P17-170 – Coefficient of Performance of a Refrigerator
P17-180 – Coefficient of Performance of a Heat Pump
-- 2nd LAW OF THERMODYNAMICS --
Second Law – Lecture
7 Topics
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P18-010 – Entropy
P18-020 – Entropy Change of a Reversible Process
P18-030 – Relating P, V, and T for an Isentropic Process
P18-040 – Second Law of Thermodynamics for an Isolated System
P18-050 – TS Diagram
P18-060 – Entropy Change of a Free Expansion
P18-070 – Statistical Interpretation of Entropy
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