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ME208 DYNAMICS

Course Objectives

At the end of this course, the student will

• be able to conduct the kinematical analysis for the plane motion of particles,

• comprehend the basic principles underlying the kinetics of particles,

• be able to apply the concepts of work-energy and impulse-momentum to particle motion problems,

• be able to conduct a kinematical analysis for the plane motion of rigid bodies,

• identify, formulate and solve engineering problems in rigid body dynamics,

• be able to apply the concepts of work-energy and impulse-momentum to rigid body systems.

Course Content

Kinematics and kinetics of particles and system of particles. Plane kinematics and kinetics of rigid bodies. Newton`s second law of motion. Methods of work-energy and impulse-momentum.

Course Learning Outcomes

1. Ability to analyze plane particle motion (position, velocity and acceleration) in rectangular, normal-tangential (path) and polar coordinates, and identify the most suitable coordinate system for a problem.

2. Ability to interrelate the three planar representations of the particle motion in different coordinate systems.

3. Ability to analyze three-dimensional particle motion (position velocity and acceleration) in rectangular, cylindrical and spherical coordinates.

4. Understanding of relative motion of a particle with respect to a translating coordinate system.

5. Ability to write down geometric constraint equation(s) for a system consisting of particles, and together with the time derivatives, use them for the analysis of motion.

6. Ability to apply Newton's second law of motion to analyze instantaneous relations between forces and acceleration characteristics of a particle, by using a free-body-diagram.

7. Understanding of work-energy principles for particles, ability to evaluate the kinetic energy of particles as well as the potential energy associated with gravity and spring forces, and work done by forces and ability to identify the type of particle kinetic problems for which the work-energy equation is most suitable.

8. Understanding of impulse-momentum principles for particles, ability to evaluate the linear and angular momentum of particles and systems of particles, as well as linear and angular impulse of forces and, ability to identify the type of particle kinetic problems for which the impulse-momentum equations are most suitable.

9. Understanding of conservation laws for energy and momentum, and ability to apply them to a given kinetic problem as appropriate.

10. Ability to utilize coefficient of restitution concept in the solution of particle impact problems.

11. Ability to extend Newton's second law of motion, work-energy and impulse momentum principles to a system of particles.

12. Ability to describe and analyze the angular motion of a rigid body in two-dimensional (planar) space, and identify the three modes of rigid body motion: pure translation, fixed axis rotation and general plane motion.

13. Ability to analyze the velocity and acceleration characteristics of a system consisting of rigid bodies, by using the concept of relative motion between two points on the same rigid body.

14. Understanding of instantaneous center of zero velocity, and apply this concept for the velocity analysis of systems consisting of rigid bodies.

15. Ability to apply the motion relative to rotating frame concept for the velocity and acceleration analysis of systems consisting of particles and rigid bodies.

16. Understanding of the concept of mass moment of inertia and radius of gyration of a rigid body about an axis, and ability to apply parallel-axis theorem for the determination of mass moment of inertia with respect to another axis or of composite bodies.

17. Ability to apply Newton's second law of motion.

Program Outcomes Matrix