# Matematica | PHYSICS WITH PRACTICE IN LABORATORY I

## Matematica PHYSICS WITH PRACTICE IN LABORATORY I

 0512300014 DIPARTIMENTO DI MATEMATICA MATHEMATICS 2015/2016

 OBBLIGATORIO YEAR OF COURSE 2 YEAR OF DIDACTIC SYSTEM 2010 SECONDO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY FIS/01 7 56 LESSONS BASIC COMPULSORY SUBJECTS FIS/01 2 24 EXERCISES BASIC COMPULSORY SUBJECTS
 ALFONSO ROMANO T ANTONIO DI BARTOLOMEO
Objectives
KNOWLEDGE AND UNDERSTANDING:
THE AIM OF THE COURSE IS A CLEAR UNDERSTANDING OF THE MECHANICS OF A SINGLE PARTICLE AS WELL AS OF A SYSTEM OF PARTICLES, WITH THE GENERAL THEORY BEING EXTENSIVELY ILLUSTRATED WITH EXAMPLES AND APPLICATIONS TO SPECIFIC SYSTEMS. AS FAR AS THERMODYNAMICS IS CONCERNED, THE MAIN GOAL IS THE COMPREHENSION OF ITS FUNDAMENTAL PRINCIPLES, WITH APPLICATIONS TO THOSE PHYSICAL PROCESSES, NOT TAKEN INTO ACCOUNT IN MECHANICS, WHICH INVOLVE EXCHANGES OF THERMAL ENERGY IN FORM OF HEAT FLOWS. AS FAR AS LABORATORY ACTIVITY IS CONCERNED, THE OBJECTIVE IS THE REALIZATION OF SIMPLE EXPERIMENTS OF MECHANICS AND THERMODYNAMICS, TOGETHER WITH A CAREFUL ANALYSIS OF THE EXPERIMENTAL DATA CORRESPONDINGLY OBTAINED.

APPLYING KNOWLEDGE AND UNDERSTANDING:
AT THE CONCLUSION OF THE COURSE STUDENTS ARE EXPECTED TO BE ABLE TO: 1) UNDERSTAND THE PHYSICS UNDERLYING THE BEHAVIOR OF A SINGLE PARTICLE AS WELL AS OF A SYSTEM OF PARTICLES, STARTING FROM THE THEORETICAL KNOWLEDGE ACQUIRED IN THE COURSE; 2) IDENTIFY CONSERVATION LAWS, REFERRING TO THEM WHEREVER IS POSSIBLE TO DEEPEN THE COMPREHENSION OF A GIVEN ISSUE; 3) APPLY THE PREVIOUS IDEAS TO THE RESOLUTION OF SIMPLE EXERCISES OF MECHANICS; 4) SOLVE SIMPLE EXERCISES OF THERMODYNAMICS ON THE BASIS OF THE FIRST AND THE SECOND PRINCIPLE, WITH A SPECIAL ATTENTION TO THOSE RELATED TO THE BEHAVIOR OF AN IDEAL GAS; 5) REALIZE AND INTERPRET SIMPLE EXPERIMENTS OF MECHANICS AND THERMODYNAMICS.

MAKING JUDGEMENTS:
STUDENTS ARE URGED TO STUDY AND ANALYZE IN A CRITICAL WAY ALL THE TOPICS THAT ARE DISCUSSED DURING THE COURSE. THE IMPROVEMEMENT OF THEIR JUDGEMENT ABILILTY IS ALSO PURSUED BY MEANS OF NOTES AND TEXTBOOKS SUGGESTED BY THE TEACHER.

COMMUNICATION SKILL:
THE COURSE IS EXPECTED TO ENHANCE STUDENTS’ ABILITY TO HANDLE AND DESCRIBE IN A CLEAR AND RIGOROUS WAY THE KNOWLEDGE ACQUIRED IN THE COURSE, WITH A SPECIAL ATTENTION TO THE CORRECTNESS OF THE LOGICAL STEPS UNDERLYING THE APPROACH UNDER CONSIDERATION.
Prerequisites
THE REQUIRED BACKGROUND INCLUDES THE BASIC KNOWLEDGE OF TRIGONOMETRY, ANALYTICAL GEOMETRY AND CALCULUS FOR FUNCTIONS OF A SINGLE VARIABLE.
Contents
SCIENTIFIC METHOD AND UNITS. VECTOR ALGEBRA. KINEMATICS: POSITION, DISPLACEMENT, VELOCITY, ACCELERATION, MOTION ALONG A STRAIGHT LINE, PROJECTILE MOTION, CIRCULAR MOTION.

DYNAMICS OF A SINGLE PARTICLE: INERTIA PRINCIPLE, INERTIAL AND NON-INERTIAL REFERENCE FRAMES. SECOND LAW OF DYNAMICS, LINEAR MOMENTUM, IMPULSE, WEIGHT, FRICTION, TENSION, CONSTRAINTS, ELASTIC FORCES AND LINEAR HARMONIC OSCILLATOR, KINETIC ENERGY AND WORK, CONSERVATIVE FORCES, POTENTIAL ENERGY, CONSERVATION OF THE MECHANICAL ENERGY, ANGULAR MOMENTUM AND TORQUE.

DYNAMICS OF SYSTEMS OF PARTICLES: THIRD LAW OF DYNAMICS, FUNDAMENTAL EQUATIONS OF DYNAMICS, CONSERVATION OF LINEAR MOMENTUM AND ANGULAR MOMENTUM, CENTER OF MASS, CENTER OF MASS THEOREM, KOENIG'S THEOREMS, COLLISIONS.

DYNAMICS OF RIGID BODIES: MOMENT OF INERTIA, THEOREM OF HUYGENS-STEINER, KINETIC ENERGY, ANGULAR MOMENTUM AND EQUATION OF MOTION OF A RIGID BODY ROTATING ABOUT A FIXED AXIS, STATICS AND EQUILIBRIUM CONDITIONS, EQUILIBRIUM UNDER GRAVITY.

THERMODYNAMICS: TEMPERATURE, THERMOMETERS, THERMODYNAMICAL TRANSFORMATIONS, REVERSIBILITY AND IRREVERSIBILITY, WORK AND HEAT, JOULE'S EXPERIMENTS, FIRST LAW OF THERMODYNAMICS, INTERNAL ENERGY, HEAT CAPACITY AND SPECIFIC HEAT, PHASE CHANGES AND LATENT HEATS, IDEAL GASES AND EQUATION OF STATE, JOULE'S EXPERIMENT ON THE INTERNAL ENERGY OF AN IDEAL GAS, RELEVANT TRANSFORMATIONS OF AN IDEAL GAS, MAYER'S RELATION, CYCLIC TRANSFORMATIONS, EFFICIENCY, CARNOT'S CYCLE, SECOND LAW OF THERMODYNAMICS, KELVIN AND CLAUSIUS STATEMENTS AND THEIR EQUIVALENCE, HEAT ENGINES AND REFRIGERATING ENGINES, CARNOT THEOREM, CLAUSIUS’S INEQUALITY, ENTROPY. ENTROPY VARIATION FOR AN IDEAL GAS AND IN PHASE CHANGES. ENTROPY VARIATION IN RELEVANT THERMODYNAMICAL TRANSFORMATIONS.

DATA ANALYSIS AND LABORATORY ACTIVITY: ERRORS, TREATMENT AND GRAPHICAL REPRESENTATION OF THE EXPERIMENTAL DATA, LEAST SQUARES METHOD, MEASUREMENT OF THE DENSITY OF A SOLID, OF THE ELASTIC CONSTANT OF A SPRING, OF THE ACCELERATION UNDER GRAVITY, OF THE SPECIFIC HEAT OF A SOLID, OF THE TIME CONSTANT OF A THERMOMETER.
Teaching Methods
THE MAIN PART OF THE COURSE IS DEVOTED TO THEORETICAL LECTURES FOCUSING ON THE NEWTONIAN FORMULATION OF CLASSICAL MECHANICS, AS WELL AS ON CLASSICAL THERMODYNAMICS. THIS PART IS SUPPLEMENTED BY LECTURES FOCUSING ON THE SOLUTION OF EXERCISES INVOLVING THE DYNAMICS OF A SINGLE PARTICLE AND OF RIGID BODIES, AS WELL AS THE BEHAVIOR OF THERMODYNAMICAL SYSTEMS.
Verification of learning
THE ASSESSMENT OF THE LEVEL OF LEARNING IS MADE THROUGH A FINAL EXAM CONSISTING OF A WRITTEN TEST FOLLOWED BY AN ORAL DISCUSSION. A THRESHOLD LEVEL MUST BE REACHED IN THE WRITTEN TEST IN ORDER TO OBTAIN THE ADMISSION TO THE ORAL DISCUSSION. IT IS ALSO REQUIRED THAT STUDENTS PREPARE SOME DOCUMENTS DESCRIBING IN AN ACCURATE WAY ALL THE EXPERIMENTS PERFORMED DURING THE LABORATORY ACTIVITY.
Texts
P. MAZZOLDI, M. NIGRO, C.VOCI, “FISICA” VOL. I, EDISES
C. MENCUCCINI, V. SILVESTRINI, “FISICA I – MECCANICA TERMODINAMICA”, LIGUORI
D. HALLIDAY, R. RESNICK, J. WALKER, “FONDAMENTI DI FISICA”, AMBROSIANA
M. SEVERI, INTRODUZIONE ALLA ESPERIMENTAZIONE FISICA, ZANICHELLI
G. CANNELLI, METODOLOGIE SPERIMENTALI IN FISICA, EDISES