Check out the full Syllabus for Engineering Mechanics below -

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Module 1

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1.1 System of Coplanar Forces:
 

Classification of force systems, Principle of transmissibility, composition and resolution of forces.

1.2 Resultant:
 

Resultant of coplanar and Non Coplanar (Space Force) force system (Concurrent forces, parallel forces and non-concurrent Non-parallel system of forces). Moment of force about a point, Couples, Varignon‘s Theorem. Force couple system. Distributed Forces in plane.

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Centroid:

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First moment of Area, Centroid of composite plane Laminas.

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Module 2

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2.1 Equilibrium of System of Coplanar Forces:

Conditions of equilibrium for concurrent forces, parallel forces and nonconcurrent non- parallel general forces and Couples. Equilibrium of rigid bodiesfree body diagrams.
 

2.2 Equilibrium of Beams:
 

Types of beams, simple and compound beams, type of supports and reaction: Determination of reactions at supports for various types of loads on beams (Excluding problems on internal hinges).

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Module 3

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3.1 Friction:

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Revision of Static Friction, Dynamic/ Kinetic Friction, Coefficient of Friction, Angle of Friction, Laws of friction. Concept of Cone of friction.
Equilibrium of bodies on inclined plane. Application to problems involving wedges and ladders.

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Module 4

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4.1 Kinematics of Particle:
 

Motion of particle with variable acceleration. General curvilinear motion. Tangential& Normal component of acceleration, Motion curves (a-t, v-t, s tcurves). Application of concepts of projectile motion and related numerical.

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Module 5

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5.1 Kinematics of Rigid Body:

Translation, Rotation and General Plane motion of Rigid body. The concept of Instantaneous center of rotation (ICR) for the velocity. Location of ICR for 2 link mechanism. Velocity analysis of rigid body using ICR.

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Module 6

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6.1 Kinetics of a Particle:

Force and Acceleration: -Introduction to basic concepts, D‘Alemberts Principle, concept of Inertia force, Equations of dynamic equilibrium, Newton‘s second law of motion. (Analysis limited to simple systems only.)

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6.2 Kinetics of a Particle: Work and Energy:

Work Energy principle for a particle in motion. Application of Work – Energy principle to a system consists of connected masses and Springs.

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6.3 Kinetics of a Particle: Impulse and Momentum:

Principle of linear impulse and momentum. Impact and collision: Law of conservation of momentum, Coefficient of Restitution. Direct Central Impact and Oblique Central Impact. Loss of Kinetic Energy in collision of inelastic bodies.

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Self Study Topics

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Resolution of a forces. Use of trigonometry functions. Parallelogram law of forces. Law of triangle. Polygon law of forces, Lami‘s theorem. Concepts of Vector Algebra.

Uniformly accelerated motion along straight line, motion under gravity, projectile motion, Time of flight, Horizontal range, Maximum height of a projectile.

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Law of conservation of Energy, Law of conservation of Momentum, Collision of Elastic Bodies.

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