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Mechanics [1]

Paper Code: 
24CMAT413
Credits: 
4
Contact Hours: 
60.00
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: 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

 

24CMAT

413

 

 

Mechanics

(Theory)

 

 

 

 

 

 

CO78: Explore rectilinear motion and simple harmonic motion.

CO79: Determine the effects of resistance in rectilinear motion, central forces.

CO80: Analyze the role of friction in various mechanical systems. Explore the concept of work, energy and impulsive forces.

CO81: Demonstrate motion of particles inside and outside the smooth vertical circle.

CO82: Comprehend the concept of moment of inertia as a measure.

CO83: Contribute effectively in course-specific interaction.

Approach in teaching:

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

 

Learning activities for the students:

Self learning assignments, Effective questions, presentations, Assigned tasks

 

 

 

 

Class Test, Individual and group projects,

Open Book Test, Semester End Examination

 

 

 

 

Unit I: 
Rectilinear motion and Simple Harmonic Motion
12.00

Radial and transverse components of velocity and acceleration, Tangential and normal components of velocity and acceleration, Simple Harmonic Motion: Hooke’s Law, Vertical elastic strings.

 

Unit II: 
Rectilinear motion in a resisting medium and Central forces
12.00

Rectilinear motion in a resisting medium, Central forces, Kepler’s law of planetary motion.

 

Unit III: 
Work and Energy
12.00

Friction, Work, Energy, Impulsive forces.

Unit IV: 
Constrained motion
12.00

Motion of a particle on inside and outside of a smooth vertical circle.

 

Unit V: 
Moment of Inertia
12.00

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.
  • 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.

 

References: 
  • 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.
  • 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.

e- RESOURCES

 

JOURNALS

 

 

Academic Year: 
2024-2025 [8]

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Source URL: https://maths.iisuniv.ac.in/courses/subjects/mechanics-11

Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/mechanics-11
[2] https://nptel.ac.in/courses/112106286
[3] https://nptel.ac.in/courses/122102004
[4] https://nptel.ac.in/courses/112103108
[5] http://www.freebookcentre.net/physics-books-download/Lectures-notes-On-Engineering-Mechanics.html
[6] http://www.freebookcentre.net/physics-books-download/Applied-mechanics.html
[7] http://www.freebookcentre.net/physics-books-download/The-Elements-of-Mechanics.html
[8] https://maths.iisuniv.ac.in/academic-year/2024-2025