Conceptual Kinematics
Conceptual Kinematics
A Companion to I. E. Irodov's Problems in General Physics
About the Book
This work contains several variations of problems, solutions, methods, approaches related to Kinematics of I. E. Irodov's Problems in General Physics.
These solutions strengthen and enliven the inherent multi-concepts including (but not limited to) analytics, graphical geometry, calculus, trigonometric geometry, scalar/vector algebra, differential equations, extrema without calculus to enrich the heritage set forth by I. E. Irodov.
The present work will serve as a complete guide to private students reading the subject with few or no opportunities of instruction. This will save the time and lighten the work of Teachers as well.
This book helps in acquiring a better understanding of the basic principles of Kinematics and in revising a large amount of the subject matter quickly. Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive.
Table of Contents
1 Classic Chase Problem and Curves of Pursuit
1.1 Linear Pursuit . . . . . . . . . . . . . . . . . . .
1.1.1 Rectilinear Interception . . . . . . . . .
1.1.1.1 Angle Bisection . . . . . . . .
1.1.1.2 Side Division . . . . . . . . . .
1.1.1.3 Distance Computation . . . .
1.1.2 Curvilinear Pure Pursuit . . . . . . . .
1.1.2.1 Using Vector Equations . . .
1.1.2.2 Using Differential Equations
1.2 Cyclic Pursuit . . . . . . . . . . . . . . . . . . .
1.3 Triangular Pursuit . . . . . . . . . . . . . . . .
2 Motorboat Problem and Crossing The
2.1 Rendezvous with Floating Raft . . .
2.2 Rendezvous with Anchored Ports . .
2.3 Crossing The River .
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