Syllabus Physics Course : B.Tech Branch : Civil Engineering

Bihar Engineering  University, Patna, Bihar, India

Physics Syllabus        Course : B.Tech

Branch : Civil Engineering

MODULE 1 

TRANSFORMATION OF SCALARS AND VECTORS UNDER ROTATION TRANSFORMATION; FORCES IN NATURE; NEWTON’S LAWS AND ITS COMPLETENESS IN DESCRIBING PARTICLE MOTION; FORM INVARIANCE OF NEWTON’S SECOND LAW; SOLVING NEWTON’S EQUATIONS OF MOTION IN POLAR COORDINATES; PROBLEMS INCLUDING CONSTRAINTS AND FRICTION; EXTENSION TO CYLINDRICAL AND SPHERICAL COORDINATES.

MODULE 2  

POTENTIAL ENERGY FUNCTION; F = - GRAD V, EQUIPOTENTIAL SURFACES AND MEANING OFGRADIENT; CONSERVATIVE AND NON-CONSERVATIVE FORCES, CURL OF A FORCE FIELD;; ENERGY EQUATION AND ENERGY DIAGRAMS; ELLIPTICAL, PARABOLOIC AND CENTRAL FORCES; CONSERVATION OF ANGULAR MOMENTUM HYPERBOLIOC ORBITS; KEPLER PROBLEM; APPLICATION: STELLITE MANOEUVRES.

MODULE 3

NON-INERTIAL FRAMES OF REFERENCE. ROTATING COORDINATE SYSTEM: FIVE-TERMACCELERATION FORMULA. CENTRIPETAL AND CORIOLIS ACCELERATIONS; APPLICATIONS: WEATHER SYSTEMS, FOUCAULT PENDULUM.

MODULE 4 :

HARMONIC OSCILLATOR; DAMPED HARMONIC MOTION – OVER–DAMPED, CRITICALLY DAMPED AND LIGHTLY-DAMPED OSCILLATORS; FORCED OSCILLATIONS AND RESONANCE.

MODULE 5

DEFINITION AND MOTION OF A RIGID BODY IN THE PLANE. ROTATION IN THE PLANE; KINEMATICS IN A COORDINATE SYSTEM ROTATING AND TRANSLATING IN THE PLANE; ANGULAR MOMENTUM ABOUT A POINT OF A RIGID BODY IN PLANAR MOTION. EULER LAW’S OF MOTION THEIR INDEPENDENCE FROM NEWTON’S LAWS, AND THEIR NECESSITY IN DESCRIBING RIGID BODY MOTION; EXAMPLES.

MODULE 6  

INTRODUCTION TO THREE-DIMENSIONAL RIGID BODY MOTION -- (A) ANGULAR VELOCITY VECTOR, AND ITS RATE OF CHANGE AND (B) MOMENT OF INERTIA TENSOR; THREE-DIMENSIONAL MOTION OF A RIGID BODY WHEREIN ALL POINT MOVE IN A COPLANAR MANNER: e.g. ROD EXECUTING CONICAL MOTION WITH CENTER OF MASS FIXED --ONLY NEED TO SHOW THAT THIS MOTION LOOKS TWO-DIMENSIONAL BUT IS THREE-DIMENSIONAL AND TWO –DIMENSIONSAL FORMULATION FAILS.