Author: Harold CrabtreePublisher:
ISBN:
Category : Gyroscopes
Languages : en
Pages : 168
Book Description
An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion
Author: Harold CrabtreePublisher:
ISBN:
Category : Gyroscopes
Languages : en
Pages : 168
Book Description
Spinning Tops and Gyroscopic Motions
Author: John PerryAn Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion
Author: Harold CrabtreePublisher:
ISBN:
Category : Gyroscopes
Languages : en
Pages : 160
Book Description
Spinning Tops and Gyroscopic Motions
Author: John PerryPublisher:
ISBN:
Category : Gyro compass
Languages : en
Pages : 120
Book Description
Spinning Tops and Gyroscopic Motions
Author: John PerryAn Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion
Author: Harold CrabtreePublisher:
ISBN:
Category : Gyroscopes
Languages : en
Pages : 228
Book Description
Mechanics of the Gyroscope
Author: Richard Francis DeimelPublisher:
ISBN:
Category : Gyro compass
Languages : en
Pages : 218
Book Description
Elementary general treatment of dynamics of rotation, with special application of gyroscopic phenomena. No knowledge of vectors needed. Velocity of a moving curve, acceleration to a point, general equations of motion, gyroscopic horizon, free gyro, motion of discs, the damped gyro, 103 similar topics.
Theory of Gyroscopic Effects for Rotating Objects
Author: Ryspek UsubamatovPublisher: Springer Nature
ISBN: 9811564752
Category : Science
Languages : en
Pages : 263
Book Description
This book highlights an analytical solution for the dynamics of axially symmetric rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler’s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal, common inertial, Coriolis forces, as well as the change in their angular momentum. These torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects, like rings, cones, spheres, paraboloids and propellers of different designs. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests.
An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion
Author: Harold CrabtreePublisher: Theclassics.Us
ISBN: 9781230859903
Category : Gyroscope
Languages : en
Pages : 58
Book Description
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 edition. Excerpt: ...that so long as the axle lies North and South and is horizontal, it is not affected by the action of gravity. If for any reason it is displaced from the meridian (but not so far as a West-East position), the rotation of the earth still causes a dip, and therefore the gravity couple comes into play, restoring CN to the North-South position; while at the same time a couple is produced by air-currents which eliminates dip as CN approaches the meridian. A mathematical discussion of the forces called into play is given in Appendix V. CHAPTER VI. STEADY MOTION OF A TOP. 75. The student is reminded at the commencement of this chapter that, when a solid body is under consideration, (i) Angular velocity about any line means total angular velocity--not relative to some moving plane, unless this is expressly stated. (ii) Angular velocity about a line which is moving means (total) angular velocity about the line fixed in space, with which the moving line happens to be coinciding at the instant in question. 76. In the preceding chapter the bodies whose rotation we have discussed have been symmetrical bodies, as, for example, a fly-wheel; and all the rotations have been about an axis of symmetry, i.e. the axle. If the axis were not an axis of symmetry, an angular velocity about this axis would in general involve angular momentum (about this axis, and also) about the two axes perpendicular to it, as is shown in the next article. In this chapter we propose to discuss the equations of motion of an ordinary spinning top, in which case it is clear that only the axle of the top is an axis of symmetry, and any other axis is not. But we shall see in Art. 79 that, since the top is a solid of revolution, any axis perpendicular to the axle of the top is the same...
An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion
Author: Harold CrabtreePublisher: Merchant Books
ISBN: 9781933998954
Category : Science
Languages : en
Pages : 160
Book Description
An Unabridged Reprinting Of The 1909 Edition, To Include All Figures: Behavior Of Ordinary Spinning Tops, Tops Containing Liquid, Celts, The Gyroscopic Top, The Gyroscope - Rotation About A Fixed Axis - Representation Of Angular Velocity, Precession - Discussion Of The Phenomena Described In The Introductory Chapter (Rise And Fall Of The Top, Behavior Of A Top Containing Liquid, The Gyroscopic Top, Effect Of Reactions In The Mounting Of A Gyroscope, Explanation Of The Behavior Of Celts) - The Starting Of Precession, Oscillations Of The Gyroscope (Conservation Of Angular Momentum, Illustrations, Summary Of Results, Increase Of Precession Of A Dying Top, Inertia, Dipping Of A Gyroscope At The Start Of Precession, Oscillations, Summary Of Results, Principle Of Energy Applied To A Rising Top, Principle Of Energy Applied To A Dying Top, Energy Lost In Heat, Electrical Analogy) - Practical Applications (The Steering Of A Torpedo, Steadying Vessels At Sea, Brennan's Monorail) - Steady Motion Of A Top - General Motion Of A Top - Moving Axes - Stability Of Rotation, Periods Of Oscillation - Miscellaneous Examples - Appendix - Answers To Examples - Answers To Questions