|ME 27400 Basic Mechanics II (3 cr.)|
F. P. Beer and E. R. Johnston, Jr. Vector Mechanics for Engineers: Dynamics, Seventh Edition, McGraw Hill.
|Description:||Kinematics of particles in rectilinear and curvilinear motion.
Kinetics of particles, Newton's second law, energy, and momentum methods.
Systems of particles, kinematics and plane motion of rigid bodies, forces
and accelerations, energy and momentum methods. Kinetics, equations of motions,
energy and momentum methods for rigid bodies in three-dimensional motion.
Application to projectiles, gyroscopes, machine elements, and other engineering systems.
|Goals:||To teach students the basic knowledge of kinematics
and kinetics for a point mass, system of discrete masses and a rigid body.
|Topics:||   1) Kinematics of a particle: rectilinear and curvilinear motion, rectangular,
path, and cylindrical coordinate systems. (4 classes)
2) Kinetics of a single particle, use of various coordinate systems. (2 classes)
3) Work and an energy, definition of potential energy for a conservative force system. (2 classes)
4) Linear impulse and momentum for a single particle, angular impulse and momentum. (2 classes)
5) Central force motion, direct and oblique impact. (2 classes)
6) Kinetics of a system of particles, derivation of the fundamental equations. (1 class)
7) Kinematics of rigid bodies, translation and rotation, relative
and absolute references, general motion. (3 classes)
8) Mass moment of inertia review (2 classes)
9) Plane kinetics of rigid bodies, formulation of the necessary equations, examples, and applications. (3 classes)
10) Energy and momentum formulations for plane motion of rigid bodies. (4 classes)
11) An introduction to kinetics of three dimensional motion of rigid bodies and applications. (3 classes)
12) Exams (2 classes)