Theory of Machines by R.S. Khurmi and J.K. Gupta remains an unparalleled resource for mechanical engineering students. Its exhaustive coverage, clear language, and vast repository of problems make it the perfect tool for building a profound understanding of mechanisms and their dynamics.
R.S. Khurmi’s Theory of Machines is not just a collection of mechanisms; it is a foundational text on how to think like a machine designer. The exercise solutions are the algorithm by which that thinking is cultivated.
If you analyze the step-by-step solutions provided for these exercises, you see a lesson in precision. The problems often involve constructing displacement-time graphs and then translating those graphs into a physical curve on a rotating disk.
Shifting from kinematics to dynamics, these chapters deal with forces and energy storage.
| Chapter No. | Chapter Name | Topics Covered in Solutions | |-------------|----------------|-------------------------------| | 1 | Introduction | Kinematic links, pairs, chains, mechanisms, inversions | | 2 | Kinematics of Motion | Linear/angular motion, equations, graphical methods | | 3 | Kinetics of Motion | Newton’s laws, D’Alembert’s principle, inertia force | | 4 | Simple Harmonic Motion | SHM equations, pendulum, spring-mass systems | | 5 | Simple Mechanisms | Four-bar, slider-crank, straight line mechanisms | | 6 | Velocity in Mechanisms | Relative velocity method, instantaneous centers | | 7 | Acceleration in Mechanisms | Coriolis component, radial/tangential acceleration | | 8 | Mechanisms with Lower Pairs | Whitworth, toggle, oscillating cylinder mechanisms | | 9 | Friction | Clutches, brakes, bearings, belt friction, screw jack | | 10 | Belt, Rope, and Chain Drives | Length of belt, ratio of tensions, power transmission | | 11 | Toothed Gearing | Gear terminology, law of gearing, cycloidal/involute teeth | | 12 | Gear Trains | Simple, compound, reverted, epicyclic gear trains | | 13 | Flywheel | Fluctuation of energy/ speed, flywheel mass calculation | | 14 | Governors | Watt, Porter, Proell, Hartnell, sensitivity, isochronism | | 15 | Brakes and Dynamometers | Band, block, internal expanding brakes; Prony, rope brakes | | 16 | Cams and Followers | Displacement diagrams, cam profile construction | | 17 | Balancing of Rotating Masses | Static & dynamic balancing, multi-cylinder engines | | 18 | Balancing of Reciprocating Masses | Primary & secondary balancing, V-engines | | 19 | Longitudinal and Transverse Vibrations | Natural frequency, damping, whirling of shafts | | 20 | Torsional Vibrations | Two/three rotor systems, equivalent shaft method |
This guide explores how to master the exercises, why they matter, and where to find the best resources for step-by-step solutions. Why Focus on Khurmi’s Exercise Problems?
Cams and Followers: Designing cam profiles for various types of follower motions, including SHM and uniform acceleration.
Theory of Machines is not a subject you can learn by rote. It is a practical discipline. The numerous unsolved problems at the end of each chapter are designed to challenge your understanding and application skills. Having access to solutions allows you to: