Mechanics

Paper Code: 
PHY 111
Credits: 
03
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

To acquaint the students with the fundamental laws and principles involved in motion and to introduce some physical properties of matter like inertia, elasticity etc. so that they develop abilities and skills that are relevant to the study and practices of Physics related to general properties of physical bodies. After completing a course on Mechanics, the students will acquire abilities to apply its knowledge to basic problems of the physical world.

Course Outcomes (COs):

Course

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

 

PHY 111

 

 Mechanics

(Theory)

 

The students will be able to –

CO1: Understand laws of motion and their application to various dynamical situations, motion of inertial frames and concept of Galilean invariance.

 

CO2: Describe how fictitious forces arise in a non-inertial frame, e.g., why a person sitting in a merry-go-round experiences an outward pull. 

 

CO3: Understand the phenomena of collisions and idea about center of mass and laboratory frames and their correlation.

 

CO4: Apply Kepler’s law to describe the motion of planets and satellite in circular & elliptical orbit, through the study of law of Gravitation.

 

CO5: Describe special relativistic effects and their effects on the mass and energy of a moving object.

 

CO6: Apply the principles of elasticity through the study of Young Modulus, modulus of rigidity, torsion of a cylinder & Bending of beam to solve different problems.

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Power point presentation,  Demonstration, problem solving  in tutorials

 

Learning activities for the students:

Self learning assignments, Effective questions, numerical solving ,Seminar presentation.

Class test, Semester end examinations, Quiz, Solving problems , Assignments, Presentations

 

9.00
Unit I: 
Physical Laws and Frames of Reference

Inertial and non inertial frames, examples, Transformation of displacement, velocity and acceleration between different frames of reference involving translation in uniform motion, Galilean transformation and invariance of Newton’s laws, Transformation equations of displacement velocity and acceleration for rotating frames, Fictitious forces (Coriolis force and centrifugal force), effects of Centrifugal  and  Coriolis forces due to earth’s rotation, Focault’s pendulum.

9.00
Unit II: 
Centre of mass

Centre of mass of a two particle system, motion of centre of mass and reduced mass conservation of linear momentum, elastic and inelastic collision of two particles in laboratory and centre of mass frames, motion of a system with varying mass, Angular momentum conservation with examples, charged particle scattering by nucleus.

9.00
Unit III: 
Motion under central forces
Motion under central forces, gravitational interaction, general solution under gravitational interaction, discussion of trajectories, cases of elliptical and circular orbits, Keplers laws.
9.00
Unit IV: 
Special theory of relativity

Postulates of special theory of relativity, Lorentz transformations, length contraction, Time dilation, transformation and addition of velocities, Relativistic Doppler’s effect, space- like space time interval, time-like space time interval.

9.00
Unit V: 
Elastic Properties of Matter:

Elastic constants: Young’s Modulus, Bulk Modulus, Modulus of Rigidity, Poisson’s ratio. Relations between the elastic constants, torsion of a cylinder.Bending of beams: Bending moment, Cantilever, Potential energy and oscillation of a loaded cantilever, cantilever loaded at one end (i) when weight of beam is negligible (ii) When weight is considered, Beam supported at both ends and loaded in the middle, Experimental determination of elastic constants (Y, h ,s).

Essential Readings: 
• “Elements of Mechanics”, Gupta, Prakash and Agrawal, Pragati Prakashan, Meerut.
• “Elements of Mechanics”, J.C.Upadhyaya ,Himalaya Publishing House,2006.
• Fundamental University Physics”, Vol. I and II, Addison  Wesley, Reading      Mars,   LISA.
 

Suggested Readings

  •  “Berkley Physics Course”, Vol. I, Mc. Graw Hill, New York.
  • “The Feynmann Lectures in Physics”, Vol. 1, R. P. Feynman, R.B. Leighton and M. Sands , B.I. Publications, Bombay, Delhi, Calcutta, Madras.
  • “Physics”, Part 1, David Halliday and Resnick , John Wiley and Sons, Inc. Newyork.
  • “Properties of Matter”, D.S.Mathur, S.Chand & Company.

 

E content:

 

References: 

 

 

Academic Year: 
2022-2023
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