Mathematics: Mechanics and ProbabilityNelson Thornes, 1984 - 658 من الصفحات Dealing with mechanics and the solving of mechanical problems with the help of pure mathematics, this A-Level text introduces at an early stage an appreciation of the properties of vectors. Throughout the book problems are solved using vector methods where appropriate, and many worked examples are provided to illustrate each main development of a topic. A set of straightforward problems follows each section, and a selection of more challenging questions appears in the miscellaneous exercises at the end of most chapters, with multiple-choice questions on most topics. |
المحتوى
Vectors Components and Resultants Moment | 12 |
Coplanar Forces in Equilibrium Friction | 66 |
Velocity and Acceleration | 110 |
Newtons Laws of Motion | 149 |
Work and Power | 181 |
Hookes Law Energy | 199 |
Momentum Direct Impact | 232 |
Projectiles | 267 |
Simple Harmonic Motion | 382 |
Resultant Motion Relative Motion | 420 |
Resultants of Coplanar Forces Equivalent Force Systems | 454 |
Centre of Gravity | 498 |
Problems Involving Rigid Bodies | 545 |
Frameworks | 570 |
Probability | 587 |
Appendix | 632 |
عبارات ومصطلحات مألوفة
ABCD angular acceleration angular velocity arctan attached axis ball body Calculate centre of gravity coefficient of friction coefficient of restitution collide components constant acceleration constant speed coplanar diagram direction of motion displacement equal equation equilibrium EXERCISE F₁ Find the magnitude Find the probability fixed point force F forces acting Forces of magnitudes given graph Hence Hooke's Law horizontal table impact impulse initial velocity km h-¹ lamina light elastic string light inextensible string line of action magnitude and direction mechanical energy metre modulus of elasticity ms-¹ ms¹ natural length newton parallel particle is projected particle moves particle of mass passes perpendicular position vector pulley radius resultant force rough horizontal seconds Show simple harmonic motion smooth horizontal sphere straight line string of length T₁ tension travelling uniform rod vertical plane weight zero