Position vector |

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Instantaneous velocity |

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Instantaneous acceleration |

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Constant linear acceleration |

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Range |

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Angular velocity |

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Angular acceleration |

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Period |

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Frequency |

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Circumferential velocity |

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Centripetal acceleration |

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Newton’s 2nd Law |

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Force of a spring (Hooke's Law) |

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Force of friction |

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static friction
kinetic friction |
Universal Law of Gravitation |

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Linear momentum |

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Newton’s second law of motion |

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Impulse |

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Linear momentum of a system of particles |

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for i particles |
Kinetic energy of a particle |

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Work and Work-Energy theorem |

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Power |

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Potential energy of a spring |

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k is the spring constant |
Gravitational potential energy near the surface of a planet |

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y << radius of the planet |
Gravitational potential energy at any distance from a planet |

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M is the mass of the planet |
Total mechanical energy of a system of particles |

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for i particles |
Angular momentum |

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Angular momentum of a rotating particle |

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Torque |

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Rate of change of angular momentum |

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Power on a rotating system |

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Center of mass |

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for j particles |
One dimensional elastic collision of two particles |

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where m1 and m2are the masses of particles one and two, v1 and v2 are their initial speeds, and u1and u2 are their final speeds |
Angular velocity of a rigid body |

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Angular acceleration of a rigid body |

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Rotational kinematics with constant acceleration |

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Rolling without slipping |

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Kinetic energy of a rotating rigid body |

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Moment of rotational inertia |

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Dynamic relations for rigid bodies with rotational or mirror symmetry |

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subscript A refers to a given axis |
Density |

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Pressure |

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Pressure in an ideal gas |

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for an incompressible liquid: r = constant |
Pressure gradient of a static fluid in a gravitational field |

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Archimedes’ principle |

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Equation of motion for a spring and any simple harmonic oscillator |

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Angular frequency for an oscillating spring |

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Displacement and velocity of an oscillating spring |

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two alternative expressions.
x and A are replaced by q andqmax for a simple pendulum |
Angular frequency of a simple pendulum |

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Total energy in an oscillating spring |

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Total energy in a simple pendulum |

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