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# Engineering Mechanics Semester 1 (FE First Year) BE Civil Engineering University of Mumbai Topics and Syllabus

CBCGS [2016 - current]
CBGS [2012 - 2015]
Old [2000 - 2011]

## Topics with syllabus and resources

100.00 System of Coplanar Forces
• Resultant of Concurrent forces, Parallel forces, Non Concurrent
• Non Parallel system of forces, Moment of force about a point, Couples, Varignon’s Theorem. Distributed Forces in plane.
200.00 Center of Gravity and Centroid for Plane Laminas
300.00 Equilibrium of System of Coplanar Forces
• Condition of equilibrium for concurrent forces, parallel forces and Non concurrent Non Parallel general forces and Couples.
400.00 Types of Support
• Types of support, loads, Beams, Determination of reactions at supports for various types of loads on beams.
500.00 Analysis of Plane Trusses
• Analysis of plane trusses by using Method of joints and Method of sections. (Excluding pin jointed frames)
600.00 Forces in Space
601.00 Resultant of Noncoplanar force systems
• Resultant of Concurrent force system, Parallel force system and Nonconcurrent nonparallel force system.
602.00 Equilibrium of Noncoplanar force systems
• Equilibrium of Concurrent force system
• Parallel force system and Nonconcurrent nonparallel force system.
700.00 Friction
• Introduction to Laws of friction
• Cone of friction
• Equilibrium of bodies on inclined plane
• Application to problems involving wedges, ladders.
800.00 Principle of Virtual Work
900.00 Kinematics of Particle
• Velocity & acceleration in terms of rectangular co-ordinate system
• Rectilinear motion
• Motion along plane curved path
• Tangential & Normal component of acceleration
• Motion curves (a-t, v-t, s-t curves), Projectile motion, Relative velocities.
1000.00 Kinematics of Rigid Bodies
• Introduction to general plane motion
• Instantaneous center of rotation for the velocity
• velocity diagrams for bodies in plane motion, (up to 2 linkage mechanism)
1100.00 Kinetics of a Particle
1101.00 Force and Acceleration
• Introduction to basic concepts
• D’Alemberts Principle
• Equations of dynamic equilibrium
• Newton’s Second law of motion.
1102.00 Work and Energy
• Principle of Work and Energy
• Law of Conservation of Energy
1103.00 Impulse and Momentum
• Principle of Linear Impulse and Momentum.
• Law of Conservation of momentum.
• Impact and collision.

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