Kinematics of Machines
Definition: Kinematics of Machines focuses on the geometric aspects of motion in mechanisms, including velocity, acceleration, and profile synthesis without considering forces.
Available PYQs:
2019 (S1)
2019 (S2)
2022
2024
2025
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Detailed Syllabus
Unit 1: Mechanism and Machine
- Links, Kinematic pairs, Degree of freedom, Kinematic Chain.
- Binary, Ternary, Quaternary Links and Joints.
- Inversions of Mechanisms.
- Application of Lower Pairs: Pantograph, Straight Line Mechanisms.
- Approximate Straight Line Motion Mechanism.
- Steering gears: Davis Steering gear, Ackermann Steering gear.
- Universal Hook’s Joint.
Unit 2: Motion Analysis in Mechanism
- Concept of Instantaneous centre method to analyze Velocity in Simple Mechanism.
- Method for locating an instantaneous centre.
- Relative Velocity method to analyze Velocity and acceleration.
- Rubbing velocity at pin joints.
- Coriolis acceleration component.
Unit 3: Synthesis of Mechanisms
- Kinematics synthesis of Mechanisms.
- Type, number and dimensional synthesis.
- Function generation, path generation and body guidance.
- Two and three position synthesis of four bar and slider crank mechanisms by graphical methods.
- Freudenstein’s equation, precision points.
Unit 4: Gears and Gear Trains
- Classification of gears, Gear terminology.
- Law of gearing, Velocity of sliding.
- Forms of teeth: cycloidal and involute profiles.
- Interference and undercutting.
- Minimum number of teeth on pinion and wheel to avoid interference.
- Simple, compound, reverted and epicyclic gear trains.
- Torque calculations in gear trains.
Unit 5: Cams and Followers
- Types of cams and followers.
- Cam terminology, Motion of follower.
- Uniform velocity, Simple harmonic motion, Uniform acceleration and retardation.
- Construction of cam profiles.
- Cam with specified contours.
Unit 6: Brakes and Dynamometers
- Introduction to brakes, Types of brakes.
- Block brake, Band brake, Internal expanding shoe brake.
- Braking torque calculations.
- Introduction to dynamometers, Types: Prony brake, Rope brake, Belt transmission, Epicyclic and Bevis Gibson torsion dynamometers.