CBCGS [2016 - current]

CBGS [2012 - 2015]

Old [2000 - 2011]

## University of Mumbai Semester 1 (FE First Year) Engineering Mechanics Revised Syllabus

University of Mumbai Semester 1 (FE First Year) Engineering Mechanics and their Unit wise marks distribution

### Units and Topics

# | Unit/Topic | Marks |
---|---|---|

100 | System of Coplanar Forces | - |

200 | Center of Gravity and Centroid for Plane Laminas | - |

300 | Equilibrium of System of Coplanar Forces | - |

400 | Types of Support | - |

500 | Analysis of Plane Trusses | - |

600 | Forces in Space | - |

700 | Friction | - |

800 | Principle of Virtual Work | - |

900 | Kinematics of Particle | - |

1000 | Kinematics of Rigid Bodies | - |

1100 | Kinetics of a Particle | - |

Total | - |

## Syllabus

100 System of Coplanar Forces

- Resultant of concurrent forces
- Resultant of parallel forces
- non-concurrent Non-parallel system of forces
- Moment of force about a point
- Moment of force about Couples
- Varignon’s Theorem
- Force couple system
- Distributed Forces in plane

- 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 Center of Gravity and Centroid for Plane Laminas

300 Equilibrium of System of Coplanar Forces

- Condition of equilibrium for concurrent forces
- Condition of equilibrium for parallel forces
- Condition of Equilibrium for non-concurrent nonparallel general forces
- Condition of equilibrium for Couples

- Condition of equilibrium for concurrent forces, parallel forces and Non concurrent Non Parallel general forces and Couples.

400 Types of Support

- Load Support
- Beams Support
- Determination of reactions at supports for various types of loads on beams
Excluding problems on internal hinges.

- Types of support, loads, Beams, Determination of reactions at supports for various types of loads on beams.

500 Analysis of Plane Trusses

- Analysis of Plane Trusses by Using Method of Joints
- Analysis of plane trusses By using Method of sections

- Analysis of plane trusses by using Method of joints and Method of sections. (Excluding pin jointed frames)

600 Forces in Space

601 Resultant of Noncoplanar force systems

- Resultant of Concurrent force system, Parallel force system and Nonconcurrent nonparallel force system.

602 Equilibrium of Noncoplanar force systems

- Equilibrium of Concurrent force system
- Equilibrium of parallel force system
- Equilibrium of non-concurrent non-parallel force system

- Equilibrium of Concurrent force system
- Parallel force system and Nonconcurrent nonparallel force system.

700 Friction

- Introduction to Laws of Friction
- Cone of Friction
- Equilibrium of Bodies on Inclined Plane
- Application to Problems Involving Wedges
- Ladders

- Introduction to Laws of friction
- Cone of friction
- Equilibrium of bodies on inclined plane
- Application to problems involving wedges, ladders.

800 Principle of Virtual Work

900 Kinematics of Particle

- Rectilinear Motion
- Velocity and Acceleration in Terms of Rectangular Co-ordinate System
- Motion Along Plane Curved Path
- Tangentialand Normal Component of Acceleration
- Motion Curves (a-t, v-t, s-t curves)
- Projectile Motion

- 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 Kinematics of Rigid Bodies

- Introduction to General Plane Motion
- Instantaneous Center of Rotation for the Velocity
- Velocity Diagrams for Bodies in Plane Motion.

- 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 Kinetics of a Particle

1101 Force and Acceleration

- Introduction to Basic Concepts
- D’Alemberts Principle
- Equations of Dynamic Equilibrium
- Newton’S Second Law of Motion

- Introduction to basic concepts
- D’Alemberts Principle
- Equations of dynamic equilibrium
- Newton’s Second law of motion.

1102 Work and Energy

- Principle of Work and Energy
- Law of Conservation of Energy

1103 Impulse and Momentum

- Principle of Linear Impulse and Momentum.
- Law of Conservation of momentum.
- Impact and collision.

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