# Theory of Machines 1 Semester 4 (SE Second Year) BE Mechanical Engineering University of Mumbai Topics and Syllabus

University of Mumbai Syllabus For Semester 4 (SE Second Year) Theory of Machines 1: Knowing the Syllabus is very important for the students of Semester 4 (SE Second Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Semester 4 (SE Second Year) Theory of Machines 1 Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Semester 4 (SE Second Year) Theory of Machines 1 in addition to this.

CBCGS [2017 - current]
CBGS [2013 - 2016]
Old [2000 - 2012]

## University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Revised Syllabus

University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 and their Unit wise marks distribution

## Syllabus

### University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus for Module 1

101 Kinetics of Rigid Bodies
• D’Alemberts Principle of Bodies under rotational motion about a fixed axis and plane motion.
• Application of motion of bars, Cylinders and spheres only.
• Kinetics of Rigid Bodies: Work and Energy.
• Kinetic energy in translating motion, Rotation about fixed axis and in general plane motion, Work Energy Principle and Conservation of Energy.
102 Basic Kinematics
• Kinematic pair,
• Types of constrained motions,
• Types of Kinematic pairs,
• Kinematic chain,
• Types of joints,
• Mechanism, Machine,
• Degree of freedom (Mobility),
• Kutzbachcrieterion,
• Grubler’s criterion.
• Four bar chain and its inversions,
• Grashoff’s law,
• Slider crank chain and its inversions,
• Double slider crank chain and its inversions.

### University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus for Module 2

201 Special Mechanisms
• Straight line generating Mechanisms: Exact Straight Line Generating Mechanisms – Peaucellier’s and Hart’s Approximate Straight Line Generating Mechanisms – Watt’s, Grasshopper and Tchebicheff’s.
• Offset slider crank mechanisms, Pantograph. Hook joint- single and double
• Steering gear mechanisms – Ackerman, Davis

### University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus for Module 3

301 Velocity Analysis of Mechanisms (Mechanisms up to 6 Links)
• Velocity analysis by instantaneous center of rotation method (Graphical approach)
• Velocity analysis by relative velocity method (Graphical approach) Analysis is extended to find rubbing velocities at joints, mechanical advantage (Graphical approach).
• Velocity analysis of low degree complexity mechanisms (Graphical approach). Auxiliary point method
302 Velocity and Acceleration Analysis of Mechanism
• Velocity and Acceleration – analysis by relative method (mechanisms up to 6 link) including pairs involving Coriolis acceleration (Graphical Approach).

### University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus for Module 4 Cam Mechanisms

401 Cam and Its Classifications
402 Followers and Its Classification
403 Motion Analysis and Plotting
• Motion analysis and plotting of displacement-time, velocity-time, acceleration- time, jerk-time graphs for uniform velocity.
• UARM, SHM and Cycloid motions (combined motions during one stroke excluded).
404 Motion Analysis of Simple Cams
• R-R cam, D-R-R and D-R-D-R cam operating radial translating follower.
405 Pressure Angle and Method to Control Pressure Angle
406 Layout of Cam Profiles

### University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus for Module 5 Flexible Connectors

501 Belt – Types of Belts
• Belt – Types of belts, velocity ratio, slip & creep, length of belt for open & cross system. Law of belting, Dynamic analysis- driving tensions, centrifugal tension, initial tension, condition of maximum power transmission
502 Chains – Types of Chains
• Chains – types of chains, chordal action, variation in velocity ratio, Length of chain

### University of Mumbai Semester 4 (SE Second Year) Theory of Machines 1 Syllabus for Module 6 Gears

601 Law of Gearing
• Law of gearing, Involute and Cycloid gear tooth profile, Construction of Involute profile
602 Path of Contact
• Path of contact, arc of contact, contact ratio for involutes and cycloidal tooth profile, Interference in involutes gears. Critical Numbers of teeth for interference free motion.Methods to control interference in involutes gears.
603 Static Force
• Static force analysis in gears- spur, helical, worm & worm wheel.