No |
Units |
Titles |
Sub Titles |
Chapters |

1 |
Unit 1 |
Basics and Statics of Particles |
Introduction - Units and Dimensions - Laws of Mechanics - Lami's theorem, Parallelogram and triangular Law of forces - Vectorial representation of forces - Vector operations of forces -additions, subtraction, dot product, cross product - Coplanar Forces - rectangular components - Equilibrium of a particle - Forces in space - Equilibrium of a particle in space -
Equivalent systems of forces - Principle of transmissibility |
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2 |
Unit 2 |
Equilibrium and Rigid Bodies |
Free body diagram - Types of supports -Action and reaction forces -stable equilibrium - Moments and Couples - Moment of a force about a point and about an axis - Vectorial representation of moments and couples - Scalar components of a moment - Varignon's theorem - Single equivalent force -Equilibrium of Rigid bodies in two dimensions - Equilibrium
of Rigid bodies in three dimensions |
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3 |
Unit 3 |
Properties of Surface and Solids |
Centroids and centre of mass- Centroids of lines and areas - Rectangular, circular, triangular areas by integration - T section, I section, - Angle section, Hollow section by using standard formula -Theorems of Pappus - Area moments of inertia of plane areas - Rectangular, circular, triangular areas by integration - T section, I section, Angle section, Hollow section by using standard formula - Parallel axis theorem and perpendicular axis theorem -Principal moments of inertia of plane areas - Principal axes of inertia-Mass moment of inertia -mass moment of inertia for prismatic, cylindrical and spherical solids from first principle - Relation to area moments of inertia |
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4 |
Unit 4 |
Dynamic of Particles |
Displacements, Velocity and acceleration, their relationship - Relative motion - Curvilinear motion -Newton's laws of motion - Work Energy Equation- Impulse and Momentum - Impact of elastic bodies |
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5 |
Unit 5 |
Friction and Elements of Rigid Body Dynamics |
Friction force - Laws of sliding friction - equilibrium analysis of simple systems with sliding friction -wedge friction- Rolling resistance -Translation and Rotation of Rigid Bodies - Velocity and acceleration - General Plane motion of simple rigid bodies such as cylinder, disc/wheel and sphere |
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