# Unit RATIONAL MECHANICS

Course
Civil and environmental engineering
Study-unit Code
70003308
Curriculum
In all curricula
Teacher
Giuseppe Saccomandi
Teachers
• Giuseppe Saccomandi
Hours
• 64 ore - Giuseppe Saccomandi
CFU
8
Course Regulation
Coorte 2020
Offered
2021/22
Learning activities
Base
Area
Matematica, informatica e statistica
MAT/07
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Classical Mechanics of Points and Rigid-Bodies with special emphasise on Statics
Reference texts
Biscari, P., Ruggeri, T., Saccomandi, G., & Vianello, M. (2015). Meccanica razionale (Vol. 93). Springer.
Educational objectives
The ability to solve problems about the statics of free and constrained systems.
Prerequisites
Calculus and general Physics.
Teaching methods
Classical
Other information
None
Learning verification modality
Written and oral examination
Extended program
Geometry, trigonometry and vector algebra: vector algebra in three dimensions using different bases, length, addition and multiplication of vectors, inner product and cross product. The properties of the inner product and the vector product, geometric and physical interpretations, rules of differentiation for vector functions, differentiation of coordinates and basis vectors in different coordinate systems. Curves, area elements, volume elements.
Applications of statics and geometry: force, torque.
The kinematics of particles in different coordinate systems, cartesian-, normal and tangential- as well as polar coordinates.
The dynamics of particles: force, linear momentum, impulse, torque, angular momentum, angular impulse, Newton's laws.
Particle systems, center of mass, Euler's law for the movement of the the center of mass. Mass flows, the rocket equation.
Work and energy. Energy relations. Gradient.
Accelerated reference frames.
The development of the mechanics. Kepler's laws. Short introduction to oscillatory motion.
Models for the motion of objects with applications.
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