Fabrizio ILLUMINATI | PHYSICS I

cod. 0612300046

PHYSICS I

	0612300046
	DEPARTMENT OF INDUSTRIAL ENGINEERING
	EQF6
	MECHANICAL ENGINEERING
	2023/2024

PERCORSO IN COMMON

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2018
	AUTUMN SEMESTER

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	FIS/01	6	60	LESSONS	BASIC COMPULSORY SUBJECTS

	Objectives
	FORMATIVE OBJECTIVES: THE COURSE EXAMINES THE BASILAR ELEMENTS OF CLASSICAL MECHANICS WITH THE AIM TO PROVIDE TO THE STUDENTS A COMPLETE PICTURE OF THIS DISCIPLINE WITH PARTICULAR REFERENCE TO THOSE THEMATIC STRICTLY CONNECTED TO THE ENGINEERING. KNOWLEDGE AND ABILITY OF UNDERSTANDING: THE COURSE INTENDS TO FURNISH, IN CONCISE AND PROPER WAY FOR THE APPLICATIONS, THE KNOWLEDGE OF THE BASILAR NOTIONS AND APPLICATIONS OF CLASSICAL MECHANICS. ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING: THE COURSE HAS AS OBJECTIVE THAT TO MAKE THE STUDENT ABLE TO ASSIMILATE ACQUIRED THEORETICAL KNOWLEDGES AND TO KNOW HOW TO RESOLVE EXERCISES CONCERNING PROBLEMS OF CLASSICAL MECHANICS. COMMUNICATIVE ABILITY: THE COURSE WILL TO PROVIDE THE ABILITY OF THE STUDENT TO EXPOSE IN A CLEAR AND RIGOROUS WAY THE ACQUIRED KNOWLEDGES. AT THE END OF THE COURSE THE STUDENT HAS TO BE ABLE TO ENUNCIATE IN A CORRECT WAY DEFINITIONS, PROBLEMS AND THEOREMS CONCERNING THE CONTENTS OF THE COURSE ITSELF. AUTONOMY OF JUDGMENT: THE STUDENTS ARE DRIVEN TO LEARN IN A CRITICAL AND RESPONSIBLE WAY ALL THE ARGUMENTS EXPOSED DURING CLASS LECTURES AND TO ENRICH HIS/HER OWN ABILITIES OF JUDGMENT THROUGH THE STUDY OF THE DIDACTIC MATERIAL POINTED OUT BY THE TEACHER.

FORMATIVE OBJECTIVES: THE COURSE EXAMINES THE BASILAR ELEMENTS OF CLASSICAL MECHANICS WITH THE AIM TO PROVIDE TO THE STUDENTS A COMPLETE PICTURE OF THIS DISCIPLINE WITH PARTICULAR REFERENCE TO THOSE THEMATIC STRICTLY CONNECTED TO THE ENGINEERING.
KNOWLEDGE AND ABILITY OF UNDERSTANDING: THE COURSE INTENDS TO FURNISH, IN CONCISE AND PROPER WAY FOR THE APPLICATIONS, THE KNOWLEDGE OF THE BASILAR NOTIONS AND APPLICATIONS OF CLASSICAL MECHANICS.
ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING: THE COURSE HAS AS OBJECTIVE THAT TO MAKE THE STUDENT ABLE TO ASSIMILATE ACQUIRED THEORETICAL KNOWLEDGES AND TO KNOW HOW TO RESOLVE EXERCISES CONCERNING PROBLEMS OF CLASSICAL MECHANICS.
COMMUNICATIVE ABILITY: THE COURSE WILL TO PROVIDE THE ABILITY OF THE STUDENT TO EXPOSE IN A CLEAR AND RIGOROUS WAY THE ACQUIRED KNOWLEDGES. AT THE END OF THE COURSE THE STUDENT HAS TO BE ABLE TO ENUNCIATE IN A CORRECT WAY DEFINITIONS, PROBLEMS AND THEOREMS CONCERNING THE CONTENTS OF THE COURSE ITSELF.
AUTONOMY OF JUDGMENT: THE STUDENTS ARE DRIVEN TO LEARN IN A CRITICAL AND RESPONSIBLE WAY ALL THE ARGUMENTS EXPOSED DURING CLASS LECTURES AND TO ENRICH HIS/HER OWN ABILITIES OF JUDGMENT THROUGH THE STUDY OF THE DIDACTIC MATERIAL POINTED OUT BY THE TEACHER.

	Prerequisites
	PREREQUISITES: THE COURSE REQUIRES THE KNOWLEDGE OF BASIC MATHEMATICS TOPICS: ALGEBRA, ELEMENTARY GEOMETRY, LOGARITHMS, TRIGONOMETRY, BASIC ELEMENTAL DIFFERENTIAL CALCULUS, FIRST AND SECOND EQUATIONS AND INEQUALITIES, ALGEBRAIC SYSTEMS.

	Contents
	HOURS OF LECTURES: 30, HOURS OF EXERCISES: 30 COURSE CONTENT. 1.INTRODUCTION TO PHYSICS. PHYSICAL QUANTITIES, DIMENSIONS AND UNIT OF MEASURE. (THEORY: 2 HOURS, EXERCISES: 0 HOURS) 2.VECTOR CALCULUS. (THEORY: 3 ORE, EXERCISES: 3 HOURS) 3.MATERIAL POINT KINEMATICS, STUDY OF MOTIONS IN ONE AND TWO DIMENSIONS. (THEORY: 3 HOURS, EXERCISES: 3 HOURS) 4.MATERIAL POINT DYNAMICS. THE THREE PRINCIPLES OF THE DYNAMICS. MASS, FORCES, MOMENTUM. CENTRAL FORCES, CENTRIPETAL FORCES, GRAVITY, ELASTICITY, FRICTION, VISCOUS. CONSTRAINTS AND BOUNDARY REACTIONS. FRICTIONS. ANGULAR MOMENTUM. FRICTIONS. (THEORY: 4 HOURS, EXERCISES: 5 HOURS) 5.REFERENCE SYSTEMS IN RELATIVE MOTION. (THEORY: 2 HOURS, EXERCISES: 2 HOURS) 6.MECHANICAL WORK. THEOREM OF KINETIC ENERGY. POTENTIAL ENERGY AND CONSERVATIVE SYSTEMS. CONSERVATION OF ENERGY, ANGULAR MOMENTUM. (THEORY: 4 HOURS, EXERCISES: 4 HOURS) 7.OSCILLATORS AND SMALL OSCILLATIONS. (THEORY: 2 HOURS, EXERCISES: 2 HOURS) 8.DYNAMICS OF MATERIAL POINT SYSTEMS. INNER FORCES IN MULTIPLE POINT SYSTEMS. DENSITY. CENTER OF MASS: DISCRETE AND CONTINUOUS CASE. THEOREMS ON THE CENTER OF MASS. KINETIC ENERGY OF A MATERIAL POINT SYSTEM AND THE KOENIG THEOREM. THE CARDINAL EQUATIONS OF DYNAMICS FOR MULTIPLE POINT SYSTEMS. (THEORY: 4 HOURS, EXERCISES: 4 HOURS) 9.FUNDAMENTAL ELEMENTS OF DYNAMICS AND STATICS OF RIGID BODIES. (THEORY: 4 HOURS, EXERCISES: 5 HOURS) 10.SCATTERING PROCESSES IN ONE AND TWO DIMENSIONS. (THEORY: 2 HOURS, EXERCISES: 2 HOURS)

Contents

HOURS OF LECTURES: 30, HOURS OF EXERCISES: 30
COURSE CONTENT.
1.INTRODUCTION TO PHYSICS. PHYSICAL QUANTITIES, DIMENSIONS AND UNIT OF MEASURE. (THEORY: 2 HOURS, EXERCISES: 0 HOURS)
2.VECTOR CALCULUS. (THEORY: 3 ORE, EXERCISES: 3 HOURS)
3.MATERIAL POINT KINEMATICS, STUDY OF MOTIONS IN ONE AND TWO DIMENSIONS. (THEORY: 3 HOURS, EXERCISES: 3 HOURS)
4.MATERIAL POINT DYNAMICS. THE THREE PRINCIPLES OF THE DYNAMICS. MASS, FORCES, MOMENTUM. CENTRAL FORCES, CENTRIPETAL FORCES, GRAVITY, ELASTICITY, FRICTION, VISCOUS. CONSTRAINTS AND BOUNDARY REACTIONS. FRICTIONS. ANGULAR MOMENTUM. FRICTIONS. (THEORY: 4 HOURS, EXERCISES: 5 HOURS)
5.REFERENCE SYSTEMS IN RELATIVE MOTION. (THEORY: 2 HOURS, EXERCISES: 2 HOURS)
6.MECHANICAL WORK. THEOREM OF KINETIC ENERGY. POTENTIAL ENERGY AND CONSERVATIVE SYSTEMS. CONSERVATION OF ENERGY, ANGULAR MOMENTUM. (THEORY: 4 HOURS, EXERCISES: 4 HOURS)
7.OSCILLATORS AND SMALL OSCILLATIONS. (THEORY: 2 HOURS, EXERCISES: 2 HOURS)
8.DYNAMICS OF MATERIAL POINT SYSTEMS. INNER FORCES IN MULTIPLE POINT SYSTEMS. DENSITY. CENTER OF MASS: DISCRETE AND CONTINUOUS CASE. THEOREMS ON THE CENTER OF MASS. KINETIC ENERGY OF A MATERIAL POINT SYSTEM AND THE KOENIG THEOREM. THE CARDINAL EQUATIONS OF DYNAMICS FOR MULTIPLE POINT SYSTEMS. (THEORY: 4 HOURS, EXERCISES: 4 HOURS)
9.FUNDAMENTAL ELEMENTS OF DYNAMICS AND STATICS OF RIGID BODIES. (THEORY: 4 HOURS, EXERCISES: 5 HOURS)
10.SCATTERING PROCESSES IN ONE AND TWO DIMENSIONS. (THEORY: 2 HOURS, EXERCISES: 2 HOURS)

	Teaching Methods
	TEACHING METHODS: TEACHING CONSISTS OF 30 HOURS OF FRONTAL LECTURES AND 30 HOURS OF EXERCISES WITH AN ADDITIONAL A NUMBER OF TUTORING HOURS. LESSONS AND EXERCISES WILL ALSO BE PROVIDED ON THE TOPICS OUTLINED WITH THE AID OF AUDIOVISUAL MATERIAL. EXERCISES WILL INCLUDE THE DIRECT PARTICIPATION OF STUDENTS WHO WILL BE INVITED TO ATTEND AND DISCUSS THE EXERCISES PROPOSED BY THE TEACHER.

	Verification of learning
	LEARNING VERIFICATION METHODS: THE ACHIEVEMENT OF THE OBJECTIVES WILL BE CERTIFIED BY A WRITTEN AND ORAL FINAL EXAMINATION WITH GRADES EXPRESSED IN THIRTIES, MINIMUM FOR PASSING 18/30, MAXIMUM 30/30 CUM LAUDE. THE WRITING PROVIDES 3 EXERCISES TO BE CARRIED OUT IN 3 HOURS. THE WRITTEN TEST VERIFIES THE STUDENT'S ABILITY TO SOLVE CONCRETE APPLICATION PROBLEMS OF POINT KINEMATICS, POINT DYNAMICS, AND DYNAMICS OF MATERIAL SYSTEMS, IN PARTICULAR OF RIGID BODIES. THE ORAL EXAM TESTS THE LEVEL OF KNOWLEDGE AND UNDERSTANDING WITH REGARD TO THE FUNDAMENTAL CONCEPTUAL, MATHEMATICAL AND STRUCTURAL ASPECTS OF MECHANICS. IT WILL BE POSSIBLE TO ACCESS THE ORAL TEST IF THE WRITTEN TEST IS PASSED WITH A GRADE OF AT LEAST 18/30. TESTS IN ITINERE OF 2 EXERCISES TO BE CARRIED OUT IN 2 HOURS MAY BE PROVIDED; WHO PASSES EACH IN ITINERE TEST WITH A MINIMUM GRADE OF 18/30, CAN CHOOSE TO TAKE THE FINAL ORAL TEST DIRECTLY. THE OVERALL GRADE WILL BE GAUGED ON THE BASIS OF THE LEVEL OF KNOWLEDGE AND UNDERSTANDING ACQUIRED. AN INADEQUATE AND INSUFFICIENT KNOWLEDGE OF THE PHYSICAL AND CONCEPTUAL MATHEMATICAL FUNDAMENTALS OF MECHANICS DOES NOT ALLOW TO PASS THE EXAMINATION. THE GRADUATION OF THE VOTE FOR THE TESTS THAT ARE INTENDED TO BE PASSED IS BASED ON THE ACTUAL LEVEL OF MASTERY OF CONCEPTUAL ASPECTS, METHODS, AND CONCRETE APPLICATIONS. ONLY A FULL AND COMPLETE MASTERY OF CONCEPTS, METHODS, AND APPLICATIONS ALLOWS TO PASS THE EXAMINATION WITH THE MAXIMUM SCORE. ACCORDING TO THE RESPECTIVE LEVELS OF KNOWLEDGE AND UNDERSTANDING OF THE CONCEPTS, METHODS, AND APPLICATIONS TO REAL AND CONCRETE PROBLEMS, THE EXAMINATION WILL BE ASSIGNED AN INTERMEDIATE GRADE.

Verification of learning

LEARNING VERIFICATION METHODS: THE ACHIEVEMENT OF THE OBJECTIVES WILL BE CERTIFIED BY A WRITTEN AND ORAL FINAL EXAMINATION WITH GRADES EXPRESSED IN THIRTIES, MINIMUM FOR PASSING 18/30, MAXIMUM 30/30 CUM LAUDE. THE WRITING PROVIDES 3 EXERCISES TO BE CARRIED OUT IN 3 HOURS. THE WRITTEN TEST VERIFIES THE STUDENT'S ABILITY TO SOLVE CONCRETE APPLICATION PROBLEMS OF POINT KINEMATICS, POINT DYNAMICS, AND DYNAMICS OF MATERIAL SYSTEMS, IN PARTICULAR OF RIGID BODIES. THE ORAL EXAM TESTS THE LEVEL OF KNOWLEDGE AND UNDERSTANDING WITH REGARD TO THE FUNDAMENTAL CONCEPTUAL, MATHEMATICAL AND STRUCTURAL ASPECTS OF MECHANICS. IT WILL BE POSSIBLE TO ACCESS THE ORAL TEST IF THE WRITTEN TEST IS PASSED WITH A GRADE OF AT LEAST 18/30. TESTS IN ITINERE OF 2 EXERCISES TO BE CARRIED OUT IN 2 HOURS MAY BE PROVIDED; WHO PASSES EACH IN ITINERE TEST WITH A MINIMUM GRADE OF 18/30, CAN CHOOSE TO TAKE THE FINAL ORAL TEST DIRECTLY. THE OVERALL GRADE WILL BE GAUGED ON THE BASIS OF THE LEVEL OF KNOWLEDGE AND UNDERSTANDING ACQUIRED. AN INADEQUATE AND INSUFFICIENT KNOWLEDGE OF THE PHYSICAL AND CONCEPTUAL MATHEMATICAL FUNDAMENTALS OF MECHANICS DOES NOT ALLOW TO PASS THE EXAMINATION. THE GRADUATION OF THE VOTE FOR THE TESTS THAT ARE INTENDED TO BE PASSED IS BASED ON THE ACTUAL LEVEL OF MASTERY OF CONCEPTUAL ASPECTS, METHODS, AND CONCRETE APPLICATIONS. ONLY A FULL AND COMPLETE MASTERY OF CONCEPTS, METHODS, AND APPLICATIONS ALLOWS TO PASS THE EXAMINATION WITH THE MAXIMUM SCORE. ACCORDING TO THE RESPECTIVE LEVELS OF KNOWLEDGE AND UNDERSTANDING OF THE CONCEPTS, METHODS, AND APPLICATIONS TO REAL AND CONCRETE PROBLEMS, THE EXAMINATION WILL BE ASSIGNED AN INTERMEDIATE GRADE.

	Texts
	REFERENCE BOOKS AND LECTURE NOTES: 1.P. MAZZOLDI, M. NIGRO, C. VOCI: FISICA VOL. I, MECCANICA E TERMODINAMICA. SECONDA EDIZIONE, EDISES, NAPOLI. 2.C. MENCUCCINI, V. SILVESTRINI: FISICA. MECCANICA E TERMODINAMICA. ED. CASA EDITRICE AMBROSIANA, MILANO. 3.C. MENCUCCINI, V. SILVESTRINI: ESERCIZI DI FISICA I. MECCANICA E TERMODINAMICA. ED. CASA EDITRICE AMBROSIANA, MILANO 4.J. QUARTIERI, L. SIRIGNANO, A. DI BARTOLOMEO: FISICA 2. ELEMENTI DI TEORIA ED APPLICAZIONI. ED. CUES

Texts

REFERENCE BOOKS AND LECTURE NOTES:
1.P. MAZZOLDI, M. NIGRO, C. VOCI: FISICA VOL. I, MECCANICA E TERMODINAMICA. SECONDA EDIZIONE, EDISES, NAPOLI.
2.C. MENCUCCINI, V. SILVESTRINI: FISICA. MECCANICA E TERMODINAMICA. ED. CASA EDITRICE AMBROSIANA, MILANO.
3.C. MENCUCCINI, V. SILVESTRINI: ESERCIZI DI FISICA I. MECCANICA E TERMODINAMICA. ED. CASA EDITRICE AMBROSIANA, MILANO
4.J. QUARTIERI, L. SIRIGNANO, A. DI BARTOLOMEO: FISICA 2. ELEMENTI DI TEORIA ED APPLICAZIONI. ED. CUES

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