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Coursera – Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion 2024-10

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Lecture 21 of 35

module-20-review-mass-moments-of-inertia-and-products-of-inertia-inertial

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Course Content

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Section 1: course-introduction-angular-velocity-angular-acceleration6 videos

module-3-define-the-properties-of-angular-velocity-for-3d-motion

module-4-solve-for-the-angular-velocity-of-a-body-undergoing-3d-motion

11m

course-introduction

13m

module-2-derive-the-derivative-formula-define-angular-velocity-for-3d-motion

15m

module-5-determine-the-angular-acceleration-for-a-moving-reference-frame

module-6-solve-for-the-angular-acceleration-for-a-body-expressed-in-a-series-of

13m

Section 2: velocities-in-moving-reference-frames-accelerations-in-moving-reference-frames6 videos

module-7-velocities-expressed-in-moving-frames-of-reference

12m

module-8-solve-for-velocities-expressed-in-moving-frames-of-reference

12m

module-9-accelerations-expressed-in-moving-frames-of-reference

11m

module-10-solve-for-the-velocity-and-the-acceleration-for-bodies-undergoing-3d

14m

module-12-solve-a-problem-for-the-motion-of-particles-moving-close-to-the-earth

10m

module-11-equations-of-motion-for-a-particle-moving-close-to-the-earth

18m

Section 3: eulerian-angles-eulerian-angles-rotation-matrices-angular-momentum-in-3d8 videos

module-14-angular-velocity-of-bodies-in-3d-motion-using-eulerian-angles

module-13-eulerian-angles-for-3d-rotational-motion

21m

module-15-derive-rotational-transformation-matrices

module-16-solve-a-problem-using-rotational-transformation-matrices

module-17-review-particle-kinetics-newtons-laws-for-particles-and-eulers-1st-law

10m

module-18-review-the-definition-of-angular-momentum-and-eulers-2nd-law-for

module-19-angular-momentum-for-bodies-in-3d-motion

12m

module-20-review-mass-moments-of-inertia-and-products-of-inertia-inertial

17mNow Playing

Section 4: translational-and-rotational-transformations-of-inertial-properties-principal6 videos

module-21-translational-transformation-of-inertial-properties

module-22-rotational-transformation-of-inertial-properties

module-23-rotational-transformation-of-inertial-properties-cont

module-24-define-principal-axes-and-principal-moments-of-inertia

module-26-solve-for-principal-axes-and-principal-moments-of-inertia-with-an

11m

module-25-determine-principal-axes-and-principal-moments-of-inertia

14m

Section 5: motion-equations-governing-3d-rotational-motion-of-a-rigid-body-euler-equations5 videos

module-28-develop-euler-equations-for-3d-motion-cont

module-27-develop-euler-equations-for-3d-motion

12m

module-29-solve-for-the-motion-of-a-rigid-body-undergoing-3d-rotational-motion

22m

module-31-solve-for-the-motion-of-a-rigid-body-undergoing-3d-rotational-motion

24m

module-30-solve-for-the-motion-of-a-rigid-body-undergoing-3d-rotational-motion

21m

Section 6: d-impulse-momentum-principles-3d-work-energy-principles4 videos

module-32-develop-and-apply-the-principle-of-impulse-momentum-to-rigid-bodies

15m

module-33-develop-the-principle-of-work-energy-for-bodies-in-3d-rigid-body

module-35-course-conclusion

module-34-apply-the-principle-of-work-energy-for-bodies-in-3d-rigid-body-motion

About this Lecture

Section: eulerian-angles-eulerian-angles-rotation-matrices-angular-momentum-in-3d • Size: 37.10 MB • Duration: 17m

Course Summary

Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, This course is an advanced study of bodies in motion as applied to engineering systems and structures. We will study the dynamics of rigid bodies in 3D motion. This will consist of both the kinematics and kinetics of motion. Kinematics deals with the geometrical aspects of motion describing position, velocity, and acceleration, all as a function of time. Kinetics is the study of forces acting on these bodies and how it affects their motion. To be successful in the course you will need to have mastered basic engineering mechanics concepts and to have successfully completed my course entitled Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion.” We will apply many of the engineering fundamentals learned in those classes and you will need those skills before attempting this course. While no specific textbook is required, this course is designed to be compatible with any standard engineering dynamics textbook. You will find a book like this useful as a reference and for completing additional practice problems to enhance your learning of the material.

Course Content

0 / 35 completed

Section 1: course-introduction-angular-velocity-angular-acceleration6 videos

module-3-define-the-properties-of-angular-velocity-for-3d-motion

module-4-solve-for-the-angular-velocity-of-a-body-undergoing-3d-motion

11m

course-introduction

13m

module-2-derive-the-derivative-formula-define-angular-velocity-for-3d-motion

15m

module-5-determine-the-angular-acceleration-for-a-moving-reference-frame

module-6-solve-for-the-angular-acceleration-for-a-body-expressed-in-a-series-of

13m

Section 2: velocities-in-moving-reference-frames-accelerations-in-moving-reference-frames6 videos

module-7-velocities-expressed-in-moving-frames-of-reference

12m

module-8-solve-for-velocities-expressed-in-moving-frames-of-reference

12m

module-9-accelerations-expressed-in-moving-frames-of-reference

11m

module-10-solve-for-the-velocity-and-the-acceleration-for-bodies-undergoing-3d

14m

module-12-solve-a-problem-for-the-motion-of-particles-moving-close-to-the-earth

10m

module-11-equations-of-motion-for-a-particle-moving-close-to-the-earth

18m

Section 3: eulerian-angles-eulerian-angles-rotation-matrices-angular-momentum-in-3d8 videos

module-14-angular-velocity-of-bodies-in-3d-motion-using-eulerian-angles

module-13-eulerian-angles-for-3d-rotational-motion

21m

module-15-derive-rotational-transformation-matrices

module-16-solve-a-problem-using-rotational-transformation-matrices

module-17-review-particle-kinetics-newtons-laws-for-particles-and-eulers-1st-law

10m

module-18-review-the-definition-of-angular-momentum-and-eulers-2nd-law-for

module-19-angular-momentum-for-bodies-in-3d-motion

12m

module-20-review-mass-moments-of-inertia-and-products-of-inertia-inertial

17mNow Playing

Section 4: translational-and-rotational-transformations-of-inertial-properties-principal6 videos

module-21-translational-transformation-of-inertial-properties

module-22-rotational-transformation-of-inertial-properties

module-23-rotational-transformation-of-inertial-properties-cont

module-24-define-principal-axes-and-principal-moments-of-inertia

module-26-solve-for-principal-axes-and-principal-moments-of-inertia-with-an

11m

module-25-determine-principal-axes-and-principal-moments-of-inertia

14m

Section 5: motion-equations-governing-3d-rotational-motion-of-a-rigid-body-euler-equations5 videos

module-28-develop-euler-equations-for-3d-motion-cont

module-27-develop-euler-equations-for-3d-motion

12m

module-29-solve-for-the-motion-of-a-rigid-body-undergoing-3d-rotational-motion

22m

module-31-solve-for-the-motion-of-a-rigid-body-undergoing-3d-rotational-motion

24m

module-30-solve-for-the-motion-of-a-rigid-body-undergoing-3d-rotational-motion

21m

Section 6: d-impulse-momentum-principles-3d-work-energy-principles4 videos

module-32-develop-and-apply-the-principle-of-impulse-momentum-to-rigid-bodies

15m

module-33-develop-the-principle-of-work-energy-for-bodies-in-3d-rigid-body

module-35-course-conclusion

module-34-apply-the-principle-of-work-energy-for-bodies-in-3d-rigid-body-motion