Subject: Mechanics 2
(17 -
M107) Basic Information
Course specification
Course is active from 13.09.2007.. To develop abstract thinking and acquire basic knowledge in the field of Kinematics as the fundamental subject necessary for studying geometry of motion. Acquired knowledge necessary for the future mechanical engineer. 1. Time, space, objects and motion in kinematics. 2. Vector of point position. Trajectory and line of point direction. 3. Mean velocity and point acceleration. Momentary speed and point acceleration. 4. Hodographs of the point speed and acceleration. 5. Speed and point acceleration in Cartesian, polar, natural coordinates. 7. Point movements along the circle. 8. Translatory motion of a rigid body. 9. Circulation of body around a fixed axis. 10. Uniform and evenly changeable rotation of a rigid body around an axis. 11. Complex translatory movement. 12. Rotation of body around two axes which are intersected. 13. Motion of a body in the same direction around two parallel axes. 14. Motion in the opposite direction along two parallel axes. 15. Angle speed. 16. Intersection of angle speeds. 17. Complex body movement. 18. Plain motion of a rigid body. 19. Connection of point speeds in plain motion. 20. Independence of angle speed in a plain motion from the pole selection. 21. Theorem on speed projections of two points in plain motion. 22. Temporary speed pole of the plain motion. 23. Centroids. 24. Relationship of acceleration of body points in plain motion. 25. Momentary pole of acceleration in a plain motion. 26. Spherical motion of a rigid body. Number of degrees-of-freedom. 27. D`Alamber-Euler`s theorem. 28. Euler`s numbers. 29. Angle speed and angle acceleration of a body in spherical movement. 30. Speed and acceleration of the body points in spherical motion. 31. Axioms. 32. Free body motion. 33. Speed and acceleration of body points in free movement. 34. Complex point movement. 35. Speed and acceleration of a point in complex movement. Lectures and practical classes.
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