## The Mechanical Universe: Mechanics and Heat, Advanced EditionThis innovative physics textbook intended for science and engineering majors develops classical mechanics from a historical perspective. The presentation of the standard course material includes a discussion of the thought processes of the discoverers and a description of the methods by which they arrived at their theories. However the presentation proceeds logically rather than strictly chronologically, so new concepts are introduced at the natural moment. The book assumes a familiarity with calculus, includes a discussion of rigid body motion, and contains numerous thought-provoking problems. It is largely based in content on The Mechanical Universe: Introduction to Mechanics and Heat, a book designed in conjunction with a tele-course to be offered by PBS in the Fall of 1985. The advanced edition, however, does not coincide exactly with the video lessons, contains additional material, and develops the fundamental ideas introduced in the lower-level edition to a greater degree. |

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### Contents

Preface xiii | 1 |

DERIVATIVES AND INTEGRALS | 27 |

INERTIA | 57 |

VECTORS | 75 |

NEWTONS LAWS AND EQUILIBRIUM | 113 |

UNIVERSAL GRAVITATION AND CIRCULAR MOTION | 141 |

FORCES | 163 |

FORCES IN ACCELERATING REFERENCE FRAMES | 203 |

Problems | 356 |

ROTATIONAL DYNAMICS FOR RIGID BODIES | 363 |

GYROSCOPES | 413 |

Problems | 427 |

SOLVING THE KEPLER PROBLEM | 457 |

NAVIGATING IN SPACE | 477 |

TEMPERATURE AND THE GAS LAWS | 497 |

THE ENGINE OF NATURE | 505 |

THE CONSERVATION OF MOMENTUM | 263 |

Problems | 276 |

OSCILLATORY MOTION | 295 |

ANGULAR MOMENTUM | 335 |

ENTROPY | 531 |

THE QUEST FOR LOW TEMPERATURE | 547 |

579 | |

### Other editions - View all

The Mechanical Universe: Mechanics and Heat, Advanced Edition Steven C. Frautschi Limited preview - 1986 |

The Mechanical Universe: Mechanics and Heat, Advanced Edition Steven C. Frautschi No preview available - 1986 |

### Common terms and phrases

acceleration angle angular momentum angular speed antiderivative atoms axis ball calculate called center of mass Chapter collision component compressed conservation of energy constant coordinate Coriolis force cross product curve derivative determine diagram differential equation direction displacement distance dot product earth eccentricity ellipse engine entropy equal equilibrium example exerted external forces falling bodies Figure force F forces acting frequency friction function Galileo gravity gyroscope heat horizontal increases inertia initial integral Isaac Newton Kepler kinetic energy length liquid magnitude mathematical molecules moment of inertia moon moving Newton's laws Newton's second law object oscillator parabola particle pendulum perpendicular physics plane position potential energy pressure problem quantity radius result rocket rope rotation scalar shown in Fig simple harmonic motion solve spacecraft spring surface temperature tension theorem third law torque transfer orbit vector velocity vertical volume weight zero