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 dynamics in engineering with this free online course covering particle kinematics, kinetics, rigid body motion, and more. Ideal for engineering professionals.

In this free course, learn about

  • Foundations and Particle Kinematics in Rectilinear Motion
  • Particle Kinematics in Curvilinear Motion
  • Particle Kinetics: Forces, Energy, Momentum and Collisions
  • Rigid Body Planar Kinematics
  • Rigid Body Planar Kinetics: Forces, Energy, and Impulse-Momentum
  • Rigid Body 3D Motion and Course Review

Course Description

The "Dynamics Course for Engineering" offers a comprehensive exploration into the principles of dynamics tailored specifically for engineering professionals. Spanning 28 hours and 5 minutes, this extensive course is a part of the Professional Courses category, with a specific focus on Engineering and Mechanics. It is meticulously designed to provide both theoretical foundations and practical examples to enhance understanding and application.

The journey begins with an insightful Introduction to Dynamics along with a review of prerequisite content, ensuring that students are well-prepared for the more complex topics ahead. The course swiftly moves into the realm of Particle Kinematics starting with rectilinear motion. This segment includes theoretical frameworks as well as practical examples to solidify the learner’s grasp on the subject.

Subsequent lectures delve deeper into particle motion, exploring Curvilinear Motion using both natural (N/T) coordinates and polar coordinates. Students will appreciate the blend of theoretical lectures and hands-on examples, which seamlessly bridge the gap between concept and practice.

The course then transitions to the study of Particle Kinetics. These lectures comprehensively cover various topics, including work, potential energy, linear impulse-momentum, and collisions. Here again, the dual approach of theory and examples ensures that learners can not only understand but also apply the core principles in real-world scenarios.

Midway through the course, the focus shifts to Rigid Body Planar Kinematics. Topics such as relative velocity, sliding contacts, and moving reference frames are explored thoroughly. The curriculum is structured to provide a balance between theoretical knowledge and practical application, making complex concepts more digestible.

Next, learners will delve into Rigid Body Planar Kinetics, covering force-mass-acceleration relationships and the work-energy principle. This segment is enriched with practical examples to illustrate theoretical concepts further. The exploration extends to angular impulse and impacts, providing a well-rounded understanding of rigid body dynamics in planar motion.

As the course progresses, students are introduced to Rigid Body 3D Kinematics and Kinetics. This advanced section covers geometrical properties and Euler’s Equations of Motion, supported by practical examples to enhance comprehension and application of these higher-level principles.

The course concludes with a thorough Review of Course Content Areas, ensuring that all key topics are revisited and solidified, providing a comprehensive understanding of dynamics in engineering contexts. While there are no reviews yet, the detailed and carefully structured content promises a valuable educational experience for all participants.

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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