MechanicsIntroductionFundamentals of Kinematics1. General Concepts of MotionBasic Problem of Mechanics1.1. Translational Motion of Bodies. Material Point1.2. Position of a Body in Space. Reference System1.3. Displacement1.4. On Vector Quantities1.5. Projections of a Vector onto Coordinate Axes and Operations on Projections1.6. Uniform Rectilinear Motion. Velocity1.7. Graphic Representation of Motion1.8. Relative Nature of Motion1.9. On System of UnitsSummary

2. Nonuniform Rectilinear MotionVelocity May Change2.1. Velocity of Nonuniform Motion22. Acceleration. Uniformly Accelerated Motion2.3. Displacement in Uniformly Accelerated Motion24. Measurement of Acceleration2.5. Free Fall. Acceleration Due to GravitySummary

3. Curvilinear MotionMotion More Complex than Rectilinear3.1. Displacement and Velocity in Curvilinear Motion3.2. Acceleration in Uniform Motion of a Body in a Circle3.3. Period and Frequency of a Body Moving in a Circle3.4. Motion on a Routing BodySummary

Fundamentals of Dynamics4. Laws of MotionThe Most Important Question is Why4.1. Bodies and Surroundings. Newtons First Law4.2. Interaction of Bodies. Acceleration of Bodies as a Result of Their Interaction4.3. Inertia of Bodies4.4. Mass of Bodies4.5. Force4.6. Newtons Second Law4.7. What Do We Learn from Newtons Second Law?4.8. Measurement of Force4.9. Newtons Third LawSummary. The Importance of Newtons Laws

5. Forces in NatureAre There Many Types of Force in Nature?5.1. Elastic Forces5.2. Motion Is the Cause of Deformation5.3. Force of Universal Gravitation5.4. Gravitational Constant5.5. Force of Gravity5.6. Friction. Static Friction5.7. Sliding FrictionSummary

6. Application of the Laws of DynamicsThe Same Laws of Motion for All Forces6.1. Motion of a Body Under the Action of Elastic Force6.2. Motion Under the Action of Force of Gravity: a Body Moves Along the Vertical6.3. Motion Under the Action of Force of Gravity: Initial Velocity of a Body Is at an Angle to the Horizontal6.4. Weight of a Body. Weightlessness6.5. Weight of a Body Moving with an Acceleration6.6. Artificial Earths Satellites. Orbital Velocity6.7. Motion of a Body Under the Action of Friction6.8. Motion of a Body Under the Action of Several Forces6.9. Motion on Bends6.10. Conditions of Translatory Motion of Bodies. Centre of Mass and Centre of Gravity6.11. Are the Laws of Newtonian Mechanics Always Valid? (Motion from Different Points of View)Summary

7. Fundamentals of Statics (Equilibrium of Bodies)What Does Statics Study?7.1. Equilibrium of Bodies in the Absence of Rotation7.2. Equilibrium of Bodies with a Fixed Axis of Rotation7.3. Stability of Equilibrium of BodiesSummary

Conservation Laws in Mechanics8. The Law of Conservation of MomentumPhysical Quantities That Are Conserved8.1. Force and Momentum8.2. The Law of Conservation of Momentum8.3. Reaction PropulsionSummary

9. The Law of Conservation of EnergyOne of the Most Important Quantities in Science and Engineering9.1. Mechanical Work9.2. Work Done by Forces Applied to a Body and the Change in Its Velocity9.3. Work Done by the Force of Gravity9.4. Potential Energy of a Body Acted upon by the Force of Gravity9.5. Work Done by an Elastic Force: Potential Energy of a Body Subject to Elastic Deformation9.6. The Law of Conservation of Total Mechanical Energy9.7. Friction Work and Mechanical Energy9.8. Power9.9. Energy Transformation. Utilization of Machinery9.10. Efficiency9.11. Flow of Fluid in Pipes. Bernoullis LawSummary

On the Importance of Conservation Laws

ConclusionPractical Work1. Determination of the Acceleration of a Body in Uniformly Accelerated Motion2. Measurement of the Rigidity of a Spring3. Determination of the Coeflicient of Sliding Friction4. Analysis of Motion of a Body Along a Parabola5. Analysis of Motion of a Body in a Circle6. Equilibrium Conditions for a Lever7. Determination of the Centre of Gravity of a Flat Plate8. Experimental Investigation of the Law of Conservation of Mechanical Energy

Answers to ExercisesIndex