30780 - General Physics T

Course contents

Vector calculus

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.

Kinematics

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.

Point dynamics

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 conservative forces.

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.