2D Kinetics of Rigid Bodies by Energy and Momentum Methods - Engineering Mechanics (Undergraduate Advanced)

Analysis of motion of a rigid body with respect to the forces causing the motion by work-energy and impulse-momentum principles.

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This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
[University] Engineering Mechanics - Dynamics
[University] Engineering Mechanics - Dynamics
Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Course Chapters

1. Introduction

Welcome, course outline and references. Review of kinematics and kinetics of rigid bodies (by Newton's second law) concepts.

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2. Work and Energy

Analysis of motion of rigid bodies using work and energy relations.

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3. Conservation of Energy

Analysis of motion of rigid bodies involving only conservative forces.

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4. Impulse and Momentum

Analysis of motion of rigid bodies using impulse and momentum relations.

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5. Conservation of Momentum

Analysis of motion of rigid bodies under the action of non-impulsive forces.

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