Free Course Image Dynamics course for Engineering

Free online courseDynamics course for Engineering

Duration of the online course: 28 hours and 5 minutes

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Master engineering dynamics with a free online course: sharpen kinematics and kinetics problem-solving and prepare for exams or mechanical design roles.

In this free course, learn about

  • Core dynamics concepts and Newton’s laws; inertia and force–motion relationships
  • Particle kinematics in rectilinear motion: position, velocity, acceleration, and integration
  • Curvilinear kinematics in N–T coordinates: tangential/normal acceleration and curvature
  • Curvilinear kinematics in polar/cylindrical coords: radial/transverse terms and Coriolis accel
  • Relative motion analysis between particles using rotating/moving reference frames
  • Particle kinetics: equations of motion in various coordinates and friction/constraints effects
  • Work–energy methods: work of forces, potential energy, path-dependent friction, procedures
  • Linear impulse–momentum and collision analysis; conservation of linear momentum
  • Angular momentum/impulse concepts; effects of changing mass distribution on angular speed
  • Planar rigid-body kinematics: relative velocity/acceleration, rolling no-slip, sliding contacts
  • Planar rigid-body kinetics: mass moment of inertia, F=ma/ΣM=Iα, reactions, work–energy
  • Impact problems for rigid bodies using momentum and angular momentum conservation
  • 3D rigid-body kinematics: angular velocity/acceleration composition and moving frames
  • 3D rigid-body kinetics: principal axes and Euler’s equations; choosing a principal frame

Course Description

Build the dynamics intuition that mechanical and industrial engineering problems demand, and turn formulas into tools you can apply with confidence. This free online course strengthens the core skill behind everything from vehicle motion and mechanisms to rotating machinery: predicting motion and linking it to forces. You will learn to translate real physical situations into clean models, choose an efficient coordinate system, and interpret results in a way that supports sound engineering decisions.

The course begins by reconnecting you with Newton’s laws and the prerequisites that make later topics easier, then moves into particle motion with a practical emphasis on how position, velocity, and acceleration describe what is happening in time. As the motion becomes more realistic, you’ll develop comfort with rectilinear and curvilinear kinematics, including natural (normal/tangential) and polar or cylindrical descriptions. Along the way, you’ll see how curvature, centripetal effects, and rotating frames change what acceleration means and how engineers compute it.

From there, the focus shifts to kinetics: how forces, work, energy, and momentum determine motion. You’ll practice connecting free-body reasoning to acceleration, then learn when an energy approach is faster and when impulse-momentum is the better shortcut, especially for collisions and brief high-force events. The progression prepares you to handle both straightforward calculations and multi-step situations where accelerations depend on time, velocity, or geometry.

The second half expands from particles to rigid bodies. You will develop a reliable method for relative velocity and acceleration in planar motion, including rolling and sliding contacts, and you’ll gain fluency with moving reference frames where apparent effects such as Coriolis acceleration appear. Kinetic ideas are then applied to rigid bodies through force–mass–acceleration relations, work-energy methods, and angular impulse, helping you reason about rotation, impact, and the role of mass distribution via moments of inertia.

Finally, the course transitions into three-dimensional rigid body motion and the geometric concepts that support it, culminating in an introduction to Euler’s equations and the value of principal frames. With frequent conceptual checks and problem-focused exercises, you’ll reinforce understanding as you go, making this a practical option for exam preparation, a foundation for advanced mechanics, or a skills boost for engineering work involving motion and forces.

Course content

  • Video class: Lec01- Introduction to Dynamics (Theory) and Prerequisite Content Review 30m
  • Exercise: In the context of Newton's laws of motion, which law explains why spacecraft remain in motion when not subjected to external forces?
  • Video class: Lec02 - Particle Kinematics (Theory) for Rectilinear Motion 52m
  • Exercise: What is a position vector in a Cartesian coordinate system?
  • Video class: Lec03 - Particle Kinematics (Examples) for Rectilinear Motion 43m
  • Exercise: A car starts from rest with a linear acceleration specified by the relation a(t) = 30 + 2t, where a is the acceleration in meters per second squared, and t is the time in seconds. The car maintains this acceleration until it reaches a speed of 400 meters per second. Subsequently, the car decelerates with its acceleration specified by the relation a(v) = -0.003v^2, where a is the acceleration in meters per second squared and v is the velocity in meters per second. The deceleration continues until the car reaches a speed of 100 meters per second. What is the total distance covered by the car throughout the entire acceleration and deceleration process?
  • Video class: Lec04 - Particle Kinematics (Theory 1h01m
  • Exercise: What is the main focus of the discussed lecture?
  • Video class: Lec05 - Particle Kinematics (Theory) for Curvilinear Motion using Natural (N/T) Coordinates 51m
  • Exercise: Which expression correctly relates the curvature of a path to the normal component of acceleration in natural coordinates?
  • Video class: Lec06 - Particle Kinematics (Examples) for Curvilinear Motion using Natural (N/T) Coordinates 30m
  • Exercise: What is the magnitude of the acceleration of a car in circular motion at 20 m/s speed?
  • Video class: Lec07 - Particle Kinematics (Theory) for Curvilinear Motion using Polar Coordinates 29m
  • Exercise: In the context of curvilinear motion analysis using coordinate systems, which of the following is NOT a component of radial acceleration for an object in pure circular motion?
  • Video class: Lec08 - Particle Kinematics (Examples) for Curvilinear Motion using Polar/Cylindrical Coordinates 19m
  • Exercise: What role does Coriolis acceleration play in the motion on a rotating platform?
  • Video class: Lec09 - Particle Kinematics (Theory 40m
  • Exercise: Assuming two cars A and B are moving along separate circular tracks with car A on the outer track at a constant speed VA and car B on an inner track at a higher constant speed VB, at a given instant the angle from car B to car A is 25 degrees. If car B has a radius of motion RB shorter than car A's radius RA, which of the following statements is true regarding the motion of car B relative to car A?
  • Video class: Lec10 - Particle Kinetics (Theory 30m
  • Exercise: What is the focus of dynamics in physics?
  • Video class: Lec11 - Particle Kinetics (Theory 31m
  • Exercise: In a natural coordinate system used to describe the motion of a particle, what is the relationship between the forces and acceleration when analyzing a particle's dynamics?
  • Video class: Lec12 - Particle Kinetics (Theory 54m
  • Exercise: What is the correct angular velocity to prevent a collar from slipping on a rotating rod with static friction?
  • Video class: Lec13 - Particle Kinetics (Theory) Work 21m
  • Exercise: In a dynamics course, how is the work done by a net force on a particle related to the particle's kinetic energy?
  • Video class: Lec14 - Particle Kinetics (Theory) Work, Potential Energy, 54m
  • Exercise: What is the work done by friction in the context of path-dependent forces?
  • Video class: Lec15 - Particle Kinetics (Examples) Work-Energy 52m
  • Exercise: When solving problems with the work-energy analysis technique in dynamics, which combination of steps constitutes the correct procedure?
  • Video class: Lec16 - Particle Kinetics (Theory) Linear Impulse-Momentum and Collisions 28m
  • Exercise: What does impulse-momentum in dynamics analyze?
  • Video class: Lec17 - Particle Kinetics (Examples) Linear Momentum Conservation in Collisions 29m
  • Exercise: According to the conservation of linear momentum principle, in an isolated system where two objects collide, what property is conserved regardless of energy losses during the collision?
  • Video class: Lec18 - Particle Kinetics (Theory 44m
  • Exercise: What happens to the angular velocity of a rotating system when mass is reduced?
  • Video class: Lec19 - Rigid Body Planar Kinematics (Theory) Relative Velocity 52m
  • Exercise: In terms of angular velocity ( extomega), how does the no-slip condition of a rolling wheel affect the linear velocity of the wheel's center and a point on its edge relative to the ground?
  • Video class: Lec20 - Rigid Body Planar Kinematics (Examples) Relative Velocity 35m
  • Exercise: What is the speed of the rack in the system?
  • Video class: Lec21- Rigid Body Planar Kinematics (Theory 57m
  • Exercise: In the context of kinematics of rigid bodies in plane motion, the absolute acceleration of any point on a rigid body can be expressed as the sum of the absolute acceleration of a datum point on the body and additional terms accounting for the rotation of the body. What are these additional terms in the equation for the absolute acceleration of a point on a rotating rigid body?
  • Video class: Lec22 - Rigid Body Planar Kinematics (Theory) Sliding Contacts 28m
  • Video class: Lec23 - Rigid Body Planar Kinematics (Examples) Sliding Contacts 1h18m
  • Exercise: Consider a rotating arm AB with a constant angular velocity ω_AB. A gear is connected through a sliding contact at its center to this rotating arm. The gear rotates at an angular velocity ω_G. If the rotation rate ω_AB of the arm is related to a certain factor of the rotation rate of the gear (ω_G = factor * ω_AB), and the angular velocity ω_AB is constant, what would be the angular acceleration α_G of the gear?
  • Video class: Lec24 - Rigid Body Planar Kinematics (Theory) Moving Reference Frames 44m
  • Video class: Lec25 - Rigid Body Planar Kinetics (Theory 1h18m
  • Exercise: In the study of the dynamics of rigid bodies, what property represents the distribution of a body's mass and serves as a measure of its resistance to angular acceleration?
  • Video class: Lec26 - Rigid Body Planar Kinetics (Theory) Force-Mass-Acceleration 45m
  • Video class: Lec27 - Rigid Body Planar Kinetics (Examples) Force-Mass-Acceleration 1h36m
  • Exercise: What are the horizontal and vertical components of the reaction force at the pin in the pendulum example with the 5 kg plate and 2 kg slender rod?
  • Video class: Lec28 - Rigid Body Planar Kinetics (Theory) Work-Energy 38m
  • Video class: Lec29 - Rigid Body Planar Kinetics (Examples) Work-Energy 42m
  • Exercise: In the study of rigid body dynamics, especially when considering the planar motion of a rigid body, which of the following is the correct sequence of steps typically followed when applying the work-energy principles for analysis?
  • Video class: Lec30 - Rigid Body Planar Kinetics (More Examples) Work-Energy 39m
  • Video class: Lec31- Rigid Body Planar Kinetics (Theory) Angular Impulse 29m
  • Exercise: In the context of extending the linear impulse-momentum relationship to angular motion for rigid bodies in planar motion, which statement best describes the angular impulse?
  • Video class: Lec32 - Rigid Body Planar Kinetics (Theory 33m
  • Video class: Lec33 - Rigid Body Planar Kinetics (Example) Impacts 53m
  • Exercise: In a dynamics problem involving the collision of two cars, Car A and Car B, on an icy road where friction is neglected, what law can be utilized to analyze the post-collision angular velocities and translational velocities of both cars?
  • Video class: Lec34 - Rigid Body 3D Kinematics (Theory) 25m
  • Video class: Lec35 - Rigid Body 3D Kinematics (Examples) 1h02m
  • Exercise: Based on the principles of rigid body kinematics in 3D motion, what is the relationship between the angular acceleration of a body ( a), the angular acceleration of the secondary reference frame (B), and the relative angular acceleration of the body with respect to the secondary reference frame (A from B), if B is the body's rotation about a fixed primary axis and B's rotation rate is given as a constant?
  • Video class: Lec36 - Rigid Body 3D Kinetics (Theory) Geometrical Properties 39m
  • Video class: Lec37 - Rigid Body 3D Kinetics (Theory) Euler's Equations of Motion 22m
  • Exercise: What is the purpose of identifying a principal frame in the analysis of the motion of rigid bodies in three dimensions?
  • Video class: Lec38 - Rigid Body 3D Kinetics (Examples) Euler's Equations of Motion 1h02m
  • Video class: Lec39 - Review of Course Content Areas 12m
  • Exercise: Which of the following principles is NOT a valid kinetic analysis technique for rigid bodies in planar motion?

This free course includes:

28 hours and 5 minutes of online video course

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