Engineering Mechanics: Dynamics 1 (Intuition + Application)

Master dynamics topics: kinematics, Newton laws, work, energy, power, impulse & momentum, fluid flow, propulsion, orbits

What you'll learn
How to analyze the motion of objects using kinematic equations
How to apply Newton laws & the equations of motion to engineering problems
How to simplify solving engineering problems using work, energy & power
How to use the linear and angular impulse & momentum concepts in engineering
How to analyze the impact of two bodies using the conservation of momentum
How to analyze steady fluid flow in water pipes
How to use fluid flow in propulsion for rockets & jets
How to make a satellite or a rocket change orbits in space
Requirements
Functions, Derivatives and Integrals from Calculus
The concepts from Statics such as: vectors, forces, moments, equilibrium and friction.
Description
How do you create propulsion for rockets and jet planes? How do you analyze the motion of pulleys in Dynamics, and how do you use the concept of Dynamics to use pulleys to lift heavy objects such as creates and elevators? How do you use kinematics to calculate relative velocities between jets on a moving aircraft carrier and between cars on a highway? Would you like to know how to make passengers experience weightlessness (0g) and also how to make them feel 4 times their weight using the concepts of work and energy and how to make a hovercraft move using impulse & momentum?All that and much more, you will learn here, in Dynamics Part 1.In this course, I will teach you everything you need to know involving Dynamics for a particle, which will perfectly set you up for rigid body Dynamics in Dynamics Part 2.Kinematics, Newton laws, work, energy, power, impulse and momentum, both linear and angular, steady fluid flow, propulsion for rockets and jets, orbital mechanics - not only, I will give you strong intuition for those concepts, I will also make sure that you will walk away with strong problem solving skills. That's a promise!Dynamics relies heavily on Calculus and on fundamental concepts of Statics, such as forces, moments and friction.Before you buy, take a look at some of my free preview videos, and if you like what you see, ENROLL NOW, and let's get started! See you inside!Best,Mark

Overview

Section 1: General Principles for Statics & Dynamics

Lecture 1 Intro to Dynamics 1 - The plan

Lecture 2 Intro to SI units

Lecture 3 Expressing forces & moments in the fundamental units

Lecture 4 Newton's 3 laws of motion + gravitational attraction

Lecture 5 Deriving the gravitational acceleration equation 1

Lecture 6 Deriving the gravitational acceleration equation 2

Lecture 7 Idealizations & assumptions for Statics & Dynamics

Lecture 8 SI unit prefixes

Lecture 9 SI unit conversions

Lecture 10 Unit conversion exercise: I beam (1)

Lecture 11 Unit conversion exercise: I beam (2)

Lecture 12 Deriving free fall kinematic equations due to gravity

Lecture 13 Unit conversion exercise: Wind turbine rotation (1)

Lecture 14 Unit conversion exercise: Wind turbine rotation (2)

Lecture 15 Unit conversion exercise: Wind turbine rotation (3)

Section 2: Kinematic equations of a particle & applications

Lecture 16 Vertical rocket motion - theory + exercise

Lecture 17 Vertical rocket motion - solution 1

Lecture 18 Vertical rocket motion - solution 2

Lecture 19 The race of two bullets - exercise

Lecture 20 The race of two bullets - solution 1

Lecture 21 The race of two bullets - solution 2

Lecture 22 The bullet train acceleration - exercise

Lecture 23 The bullet train acceleration - solution 1

Lecture 24 The bullet train acceleration - solution 2

Lecture 25 The boat kinematics - exercise

Lecture 26 The boat kinematics - solution 1

Lecture 27 The boat kinematics - solution 2

Lecture 28 Helicopter problem - kinematics in 2D - exercise

Lecture 29 Helicopter problem - kinematics in 2D - solution

Lecture 30 Parametric equations in 3D

Lecture 31 Projectile motion - exercise

Lecture 32 Projectile motion - solution

Lecture 33 The falling box problem - exercise

Lecture 34 The falling box problem - solution 1

Lecture 35 The falling box problem - solution 2

Lecture 36 Normal & tangential rotating axes 1

Lecture 37 Normal & tangential rotating axes 2 + exercise

Lecture 38 Normal & tangential rotating axes 3 + solution

Lecture 39 Polar coordinates with varying radius 1

Lecture 40 Polar coordinates with varying radius 2 + exercise

Lecture 41 Polar coordinates with varying radius 3 + solution

Lecture 42 Cylindrical coordinates - exercise

Lecture 43 Cylindrical coordinates - solution

Lecture 44 The kinematics of pulleys + exercise

Lecture 45 The kinematics of pulleys + solution

Lecture 46 Relative velocities & accelerations + exercise

Lecture 47 Relative velocities & accelerations + solution 1

Lecture 48 Relative velocities & accelerations + solution 2

Lecture 49 Jet & aircraft relative velocity problem - exercise

Lecture 50 Jet & aircraft relative velocity problem - solution

Lecture 51 Highway relative acceleration problem + exercise

Lecture 52 Highway relative acceleration problem + solution

Lecture 53 Follow up

Section 3: Newton laws + equations of motion

Lecture 54 Sliding box & ramp problem - exercise

Lecture 55 Sliding box & ramp problem - solution 1

Lecture 56 Sliding box & ramp problem - solution 2

Lecture 57 Lifting cargo with variable force - exercise

Lecture 58 Lifting cargo with variable force - solution 1

Lecture 59 Lifting cargo with variable force - solution 2

Lecture 60 Simplifying assumptions for pulleys & cables 1

Lecture 61 Simplifying assumptions for pulleys & cables 2

Lecture 62 Simplifying assumptions for pulleys & cables 3

Lecture 63 Lifting cargo with a truck - exercise

Lecture 64 Lifting cargo with a truck - solution 1

Lecture 65 Lifting cargo with a truck - solution 2

Lecture 66 Two block & a pulley problem - exercise

Lecture 67 Two block & a pulley problem - solution 1

Lecture 68 Two block & a pulley problem - solution 2

Lecture 69 Two block & a pulley problem - solution 3

Lecture 70 Two block & a pulley problem - solution 4

Lecture 71 The skydiving terminal velocity problem - exercise

Lecture 72 The skydiving terminal velocity problem - solution 1

Lecture 73 The skydiving terminal velocity problem - solution 2

Lecture 74 The valley and the hill problem - exercise

Lecture 75 The valley and the hill problem - solution

Lecture 76 The skier problem - intro 1

Lecture 77 The skier problem - intro 2 + exercise

Lecture 78 The skier problem - solution 1

Lecture 79 The skier problem - solution 2

Lecture 80 The skier problem - solution 3

Lecture 81 Turning airplane problem - exercise

Lecture 82 Turning airplane problem - solution

Lecture 83 The car tracking camera problem - exercise

Lecture 84 The car tracking camera problem - solution

Lecture 85 The sliding spiral problem - exercise

Lecture 86 The sliding spiral problem - solution

Section 4: Work, energy, power & their application in engineering

Lecture 87 Double embedded spring problem - exercise

Lecture 88 Intro to work done by forces and moments

Lecture 89 Conservative forces

Lecture 90 The principle of work & energy

Lecture 91 Work due to friction

Lecture 92 Double embedded spring problem - solution

Lecture 93 Nonlinear spring - exercise

Lecture 94 Nonlinear spring - solution

Lecture 95 The springs from both sides - exercise

Lecture 96 The springs from both sides - solution

Lecture 97 Projectile motion analysis using work & energy - exercise

Lecture 98 Projectile motion analysis using work & energy - solution 1

Lecture 99 Projectile motion analysis using work & energy - solution 2

Lecture 100 Roller coaster weightless and 4g problem - exercise

Lecture 101 Roller coaster weightless and 4g problem - solution

Lecture 102 A catapult problem - exercise

Lecture 103 A catapult problem - solution

Lecture 104 Double mass pulley - exercise

Lecture 105 Double mass pulley - solution 1

Lecture 106 Double mass pulley - solution 2

Lecture 107 Two springs in series - exercise

Lecture 108 Two springs in series - solution

Lecture 109 Intro to potential energy

Lecture 110 The principle of conservation of energy

Lecture 111 The skier problem revisited (kinetic & potential energy)

Lecture 112 The bungee jumper problem - exercise

Lecture 113 The bungee jumper problem - solution

Lecture 114 Potential & kinetic energies for space satellites - exercise

Lecture 115 Potential & kinetic energies for space satellites - solution 1

Lecture 116 Potential & kinetic energies for space satellites - solution 2

Lecture 117 Potential & kinetic energies for space satellites - solution 3

Lecture 118 Intro to power 1

Lecture 119 Intro to power 2

Lecture 120 Intro to mechanical efficiency

Lecture 121 The crate, the pulleys and power output of the motor - exercise

Lecture 122 The crate, the pulleys and power output of the motor - solution 1

Lecture 123 The crate, the pulleys and power output of the motor - solution 2

Lecture 124 The pulleys and the hydraulic systems (work & displacement relationship)

Lecture 125 The sledge with a rocket engine - exercise

Lecture 126 The sledge with a rocket engine - solution

Lecture 127 Power input for a moving crate - exercise

Lecture 128 Power input for a moving crate - solution

Lecture 129 Pulleys, the elevator and the counterweight - exercise

Lecture 130 Pulleys, the elevator and the counterweight - solution

Section 5: Impulse & momentum (linear & angular) + impact analysis

Lecture 131 The principle of linear impulse and momentum 1

Lecture 132 The principle of linear impulse and momentum 2

Lecture 133 Impulse due to engine thrust - exercise

Lecture 134 Impulse due to engine thrust - solution

Lecture 135 Crate & counterweight pulley system - exercise

Lecture 136 Crate & counterweight pulley system - solution 1

Lecture 137 Crate & counterweight pulley system - solution 2

Lecture 138 Crate & counterweight pulley system - alternative solution

Lecture 139 Sliding box problem with static & kinetic friction - exercise

Lecture 140 Sliding box problem with static & kinetic friction - solution

Lecture 141 The conservation of momentum 1

Lecture 142 The conservation of momentum 2

Lecture 143 Impulsive VS nonimpulsive forces

Lecture 144 The collision of three cars - solution

Lecture 145 The canoe problem - exercise

Lecture 146 The canoe problem - solution

Lecture 147 The two car and a spring collision - exercise

Lecture 148 The two car and a spring collision - solution

Lecture 149 Impact 1

Lecture 150 Impact 2

Lecture 151 Impact 3

Lecture 152 Impact 4 - solution 1

Lecture 153 Impact 5 - solution 2

Lecture 154 Impact 6 - solution 3

Lecture 155 The two pool ball and a wall impact - exercise

Lecture 156 The two pool ball and a wall impact - solution 1

Lecture 157 The two pool ball and a wall impact - solution 2

Lecture 158 The principle of angular impulse & momentum 1

Lecture 159 The principle of angular impulse & momentum 2

Lecture 160 The principle of angular impulse & momentum 3 - solution

Lecture 161 Conserving angular but not linear momentum - exercise

Lecture 162 Conserving angular but not linear momentum - solution 1

Lecture 163 Conserving angular but not linear momentum - solution 2

Section 6: Steady fluid flow + jet & rocket propulsion

Lecture 164 Equations of motion for steady fluid flow 1

Lecture 165 Equations of motion for steady fluid flow 2

Lecture 166 The hydrant problem - exercise

Lecture 167 The hydrant problem - solution 1

Lecture 168 The hydrant problem - solution 2

Lecture 169 The hydrant problem - solution 3

Lecture 170 The hydrant problem - solution 4

Lecture 171 Thrust with steady fluid flow 1

Lecture 172 Thrust with steady fluid flow 2

Lecture 173 Thrust with steady fluid flow 3

Lecture 174 The hovercraft problem - solution 1

Lecture 175 The hovercraft problem - solution 2

Lecture 176 The water pipe problem - exercise

Lecture 177 The water pipe problem - solution 1

Lecture 178 The water pipe problem - solution 2

Lecture 179 Propulsion with variable mass 1

Lecture 180 Propulsion with variable mass 1 (rocket example)

Lecture 181 Increasing the mass of the system

Lecture 182 The two staged rocket - exercise

Lecture 183 The two staged rocket - solution 1

Lecture 184 The two staged rocket - solution 2

Lecture 185 The sand truck problem - exercise

Lecture 186 The sand truck problem - solution

Lecture 187 The jet plane problem - exercise

Lecture 188 The jet plane problem - solution

Lecture 189 The firefighting helicopter problem - exercise

Lecture 190 The firefighting helicopter problem - solution

Section 7: Orbital mechanics for satellites & rockets

Lecture 191 Transferring between orbits - problem statement

Lecture 192 Orbital mechanics - theory 1

Lecture 193 Orbital mechanics - theory 2

Lecture 194 Orbital mechanics - theory 3

Lecture 195 Orbital mechanics - theory 4

Lecture 196 Orbital mechanics - theory 5

Lecture 197 Orbital mechanics - theory 6

Lecture 198 Orbital mechanics - theory 7

Lecture 199 Orbital mechanics - theory 8

Lecture 200 Orbital mechanics - theory 9

Lecture 201 Transferring between orbits - solution 1

Lecture 202 Transferring between orbits - solution 2

Section 8: Python animation files & installation instructions

Lecture 203 Thank You!

Lecture 204 How to run Python files correctly from Terminal & command prompt?

Lecture 205 Python installation: Windows 10

Lecture 206 Python installation: Ubuntu

Lecture 207 Python installation: MacOS

Lecture 208 Python animations files

Section 9: Last Words

Lecture 209 Well done! You did it! But don't stop here! Keep going forward!

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