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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Kinematics of the most general motion of a rigid body

Kinematics of the most general motion of a rigid body

Bachvarov Stefan
Zlatanov Vassil

Paperback

Physics

ISBN10: 3659715425
ISBN13: 9783659715426
Publisher: Lap Lambert Academic Pub
Published: Jun 9 2015
Pages: 68
Weight: 0.25
Height: 0.16 Width: 6.00 Depth: 9.00
Language: English
A comparative analysis of the methods of obtaining Euler's kinematic equations has been made. For this purpose, Poisson's method has been used for obtaining the velocity distribution law and for introducing the angular velocity vector. A suggestion for a new approach to obtaining Euler's kinematic equations has been presented. The distribution velocity law obtained using the synthetic method has been reviewed in detail. This method is based on Euler's theorem and the introduction of the finite and infinitesimal rotations. The velocity distribution of the points in a rigid body's general motion on the basis of certain invariants has been analysed. A review of the projective theory of the most general motion of a rigid body has been presented. In this theory, an original method has been constructed on a deductive basis for the purpose of obtaining the velocity distribution law. A new method of obtaining the angular velocity vector in terms of velocities of three main (basic) points has been presented.

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