# Engineering Mechanics | Unit 1 -6 Notes

## Course Objectives:

1. To impart knowledge about force systems and methods to determine resultant centroid and moment of inertia
2. To teach methods to calculate force of friction
3. To impart knowledge to determine reaction of beams, calculate member forces in trusses, cables and frames using principles of equilibrium
4. To teach space force systems
5. To train students to solve problems related to particle mechanics using principles of kinematics, kinetics and work power energy

## Examination Scheme:

In Semester : 30 Marks
End Semester: 70 Marks
PR: 25 Marks

## Syllabus

### Unit I: Resolution and Composition of Forces

Principle of statics, Force system, Resolution and composition of forces, Resultant of concurrent forces. Moment of a force, Varignon’s theorem, resultant of parallel force system, Couple, Equivalent force couple system, Resultant of parallel general force system

### Unit 2: Distributed Forces and Friction

Moment of area, Centroid of plane lamina and wire bends, Moment of Inertia.
Friction- Laws of friction, application of friction on inclined planes Wedges and ladders friction Application to flat belt

### Unit 3: Equilibrium

Free body diagram Equilibrium of concurrent, parallel forces in a plane Equilibrium of general forces in a plane Equilibrium of three forces in a plane, Types of beams, simple and compound beams, Type of supports and reaction.
Forces in space, Resultant of concurrent and parallel forces in a space, Equilibrium of concurrent and parallel forces in a space.

### Unit 4: Analysis of Structures

Two force member, Analysis of plane trusses by Method of joints Analysis of plane trusses by method of section, Analysis of plane frames, Cables subjected to point load multi force member.

### Unit 5: Kinematics of Particle

Kinematics of linear motion- Basic concepts Equation of motion for constant acceleration Motion under gravity, Variable acceleration motion curves.
Kinematics of curvilinear motion- Basic Concepts Equation of motion in Cartesian coordinates Equation of motion in path coordinates Equation of motion in polar coordinates Motion of projectile.

### Unit 6: Kinetics of Particle

Kinetics- Newton’s Second Law of motion Application of Newton’s Second Law.
Work, power, energy, conservative and non-conservative forces Conservation of energy for motion of particle, Impulse, Momentum, Direct central impact. Coefficient of restitution, Impulse Momentum principle of particle.