Mechanics

Paper Code: 
MAT401
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to -

  1. Learn about the motion of particles in various cases and conditions.
  2. Learn about how to Familiarize with subject matter, which has been the single centre, to which were drawn mathematicians, physicists, astronomers, and engineers together.

Course Outcomes (COs):

 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

MAT 401

 

 

 

 

Mechanics

(Theory)

 

 

 

 

 

 

The students will be able to –

 

CO44: Describe the motion of objects in different frame of references.

CO45: Analyse Radial, Transeverse, Tangential and normal velocity and acceleration with application.

CO46: Demonstrate the application of central force to the stability of circular orbits, Kepler’s laws of planetary motion, Orbital Precession.

CO47: Solve basic application problems of motion under resisting medium.
CO48: Demostrate motion of particle inside and outside the smooth vertical  circle and vertical cycloid.

CO49: Learn the dynamics of rotating objects i.e. rigid bodies, angular velocity, the moment of inertia, parallel axis theorem, Perpendicular axis theorem.

Approach in teaching:

 

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

 

Learning activities for the students:

Self learning assignments, Effective questions, presentations, Giving tasks

 

 

Quiz, Poster Presentations,

Power Point Presentations, Individual and group projects,

Open Book Test, Semester End Examination

 

 

 

 

Unit I: 
I
9.00
Rectilinear motion: Radial and transverse components of velocity and acceleration, Tangential and normal components of velocity and acceleration, Simple Harmonic Motion: Hooke’s Law, Horizontal and vertical elastic strings.
 
Unit II: 
II
9.00
Rectilinear motion in a resisting medium, Central forces,  Kepler’s law of planetary motion.
 
Unit III: 
III
9.00

Friction, Work,  Energy,  Impulsive forces.

Unit IV: 
IV
9.00
Motion of a particle on inside and outside of a smooth  vertical circle and smooth vertical cycloid.
 
Unit V: 
V
9.00
Moment of Inertia: Moment of inertia of a rod, Rectanglular lamina, Circular ring, Arc, Sector, Disc, Hollow and solid spheres, Cylinder, related problems based on theorems of perpendicular and parallel axis.
 
Essential Readings: 
  • Y.N. Gaur, M.C. Goyal and A.K.  Mathur,  Dynamics, Ramesh Book Depot, 2015
  • M.D. Raisinghania, Dynamics, S. Chand & Co. New Delhi, 2006.
  • D.C. Gokhroo, S. R. Saini and R. k. Arora, Elements of Dynamics, Jaipur Publishing House, 2014.
  • K.C. Sharma, D.C. Gokhroo and S. R. Saini, Elements of Statics, Jaipur Publishing House, 2014.
References: 
  • J. L. Synge and B. A. Griffith, Principles of Mechanics Mc Graw Hill, 1959.
  • S.L .Loney, The Elements of Statics and Dynamics, Part I, Cambridge University Press, 2008.
  • Ramsey A.S, Dynamics, CBS Publishers and distributors, 2002.
  • M. Ray and G. C. Sharma, A Textbook on Dynamics, S. Chand & Co., 2005.
  • G. Aruldas, Classical Mechanics, Prentice Hall of India, 2008.
  • A. R. Vasishtha and Gupta, Dynamics of a Particle, Krishna Prakashan Mandir, 2014.
  • David Morin, Introduction to Classical Mechanics with Problems and Solutions, Cambridge University Press, 2008.
 
Academic Year: 
2022-2023
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