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Course unit catalogue
Scalar and vector calculus. Geometrical definition of a vector. Sum
and difference between vectors. Product of a scalar and a vector.
Scalar and vector product. Vectors in a cartesian notation. Vector
operations in a cartesian notation.
Mass point, position and motion, reference frame systems. Units of
measurement of space and time. Dimensions of a physical quantity.
System of measurement units: MKS and CGS. Motion description and
vector equation of motion. Trajectory equation and time law.
Intrinsic description of motion. Speed, velocity, acceleration:
definition and units of measurements. Examples of base motion
types. Change of reference systems.
Definition of force, dynamometer and unit of measurement. Vector
nature of forces. Constraints, reactions, friction and frictionless
constraints. Equilibrium conditions. First principle of dynamics:
Galileo's experiments and inertial reference frames. Second
principle of dynamics. Fundamental interactions; weight force,
gravitational force, elastic force, static friction force and
kinematic friction force. Motion of a point along a line. Simple
pendulus. Real forces and pseudoforces.
Work and Energy
Work function. Work-Energy theorem. Conservative force fields and
potential energy. Mechanical energy theorem. Power. Work of non
Point system dynamics
Isolated systems: internal and external forces. Momentum. Third
principle of dynamics: action and reaction principle. Impulse and
impulsive forces. Elastic and anelastic collisions. Simple
collision problems. Total forces and force moments in a system.
Angular moment. Center of mass of a system of points and
center-of-mass theorems. Cardinal equations.
Rigid bodies dynamics.
Rotations around a fixed axis. Angular moment and inertial
moment. Kinetic energy for a rigid body.
D. Halliday, R. Resnick, J. Walker,
John Wiley and Sons
-From chap 1, (Measurements) to chap. 14 (Gravitation) -
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