## Course Detail

 Course Name Mechanics Course Code 22PHY104 Semester 1 Credits 4

### Syllabus

##### Unit 1

Learning objectives
Recognize various physical quantities such as average velocity, average acceleration, instantaneous velocity and instantaneous acceleration for the description of one, two and three-dimensional motion of an object and solve problems
Describe projectile motion of an object through appropriate equations.

One-dimensional Kinematics. Kinematics in 2D and 3 D: Projectile Motion, Circular Motion. Non-inertial frames and pseudo Forces-Rotating Coordinate Frame, Fictitious Forces, Coriolis Force, Tides, Foucault Pendulum.

##### Unit 2

Learning objectives

• Describe Newton’s laws of motion and apply them to solve problems
• Explain Work-energy theorem and conservation of energy principle.
• Describe motion of an object in a uniform gravitational field

Newton’s Laws of Motion – Forces, Frictional Forces-Work, Kinetic Energy, Work-Energy Theorem, Potential Energy, Conservation of Energy Newton’s law of gravitation, Motion in uniform gravitational field.

##### Unit 3

Learning objective

• Explain the concept of center of mass for system of particles and conservation of both linear and angular momenta
• Differentiate between elastic and inelastic collision and solve problems related to collision
• Analyze rocket motion as an example for system of variable mass
• Analyze rotational motion of bodies through rotational variables

Centre of Mass, Conservation of linear momentum, collisions, and systems with variable mass. Torque, Angular momentum, Moment of Inertia, Conservation of Angular momentum, Kinetic Energy of Rotation.

##### Unit 4

Learning objectives

• Explain elastic properties of matter through Hooke’s law
• Apply laws of Archimedes principle, Bernoulli’s theorem to solve problems related to fluids in motion.
• Determine surface tension of liquids after understanding the concept of surface tension and surface energy

Stress, Strain, Hooke’s law Elastic properties of matter. Kinematics of moving fluids, Equation of continuity, Euler’s equation, Bernoulli’s theorem, Viscous fluids, Reynold’s number, Surface tension, Surface energy.

##### Unit 5

Learning objectives

• Understand different Frames of reference
• Transformation relations
• Know about length contraction and time dilation
• Definition of Relativistic momentum

Special theory of Relativity-Lorentz transformations, relativistic kinematics and mass-energy equivalence.

### Objectives & Outcomes

Course Objectives

This course is intended to impart students basic understanding of Newtonian mechanics involving both translational and rotational motions of bodies, vector algebra, curvilinear coordinates, concepts such as work-energy theorem, conservation of energy and momentum along with center of mass. Also basic knowledge on elastic properties of matter and fluid mechanics will be imparted to students.

Course Outcomes

At the end of the course students will be able to

CO1: Understand and analyze one, two and three dimensional translational motion problems including conservation laws.
CO2: Understand and apply Newton’s laws of motion and the universal law of gravitation to solve problems.

CO3: Acquire knowledge on the concept of center of mass, collision and rotational motion.
CO4: Apply Hooke’s law, determine elastic constants of solids, and apply law of buoyancy, Archimedes principle, Bernoulli’s theorem to solve problems related to fluid mechanics.

CO5: Learn about different frames of reference and acquire knowledge on special theory of relativity.

Skills: Problems solving in Mechanics and Properties of Matter towards improving the analytical skills of students through assignments, quizzes, presentations and few lab experiments

CO-PO Mapping

 POs PO1 PO2 PO3 PO4 PO5 PSO1 PSO2 PSO3 CO1 3 3 3 3 3 CO2 3 3 3 3 3 CO3 3 3 3 3 3 CO4 3 3 3 3 3 CO5 3 3 3 3 3

### References

1. David Halliday, Robert Resnick & Jearl Walker, Fundamentals of Physics, John Wiley, 9E, 2012
2. Kittel et al, Mechanics, Berkeley Physics Course Vol-1, Tata McGraw Hill, 2011
3. R.P. Feynman, R. P. Leighton and M. Sands, Feynman Lectures on Physics Vol.1, Narosa, 2003
4. Landau, Lev D., and Evgenij M. Lifshitz. Mechanics: Course of Theoretical Physics. Vol. 1. 3rd ed. Butterworth-Heinemann, 1976. ISBN: 9780750628969.
5. https://ocw.mit.edu/courses/physics/8-01sc-classical-mechanics-fall-2016/index.htm
6. Lectures by Walter Lewin on Classical Mechanics, https://www.youtube.com/watch?v=wWnfJ0-xXRE&list=PLyQSN7X0ro203puVhQsmCj9qhlFQ-As8e

### Evaluation Pattern

CO-PO Mapping

 Assessment Internal Semester Periodical 1 (P1) 15 Periodical 2 (P2) 15 *Continuous Assessment (CA) 20 End Semester 50

*CA – Can be Quizzes, Assignments, Projects, and Reports.

Justification for CO-PO Mapping

 Mapping Justification Affinity level CO1-CO 5 to PO1 and PSO 1 This course is a fundamental course with objective of building strong core fundamentals; hence, all the course outcomes have very strong affinity to PO1 and PSO 1, which is about building fundamentals in science, and create inquisitiveness and problem solving in scientific way. 3 CO1-CO5-PO2 and PSO 2 This course is a fundamental course with objective of building strong core fundamentals; hence, all the course outcomes have very high affinity to PO2 and PSO 2, which is about building analytical thinking, which is a core skill in scientific investigation. 3 CO1-CO5 – PO3 This course is a fundamental course with objective of building strong core fundamentals; hence, all the course outcomes have very high affinity to PO2 and PSO 2, which is about developing a research culture 3

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