500 Statics and Elementary Dynamics. [Thornton.]
Lectures 10-11, Monday, Wednesday, Friday.
This course furnishes a general introduction to Theoretical Mechanics.
The fundamental principles of the Kinematics of a particle
are followed by a study of the Newtonian Laws of Motion. On this
basis the more important propositions in the Statics of the material
particle, of the plane lamina, and of solid bodies in three dimensions
are then developed. Applications are made to the problems of
equilibrium of rigid bodies with and without friction and of flexible
cables and to the determination of centers of gravity by both elementary
and advanced methods. The principle of work and the application
of the law of virtual work to problems of equilibrium are
discussed and illustrated. The motions of material particles under
the action of constant forces are then considered and the cases of
uniform motion, uniformly varied motion, and projectile motion
are fully discussed. Special attention is given throughout the course
to illustrative problems, many of these being selected from the
engineering field.
[Required, Fall, in Courses I, II, III, V (3); IV (4).]
