Applied Mathematics by Example: Theory
Publisher: Bookboon
Published: 2013
ISBN-13: 9788776816247
Table of contents: title: Kinematics – motion in a straight line; title: Galileo and the acceleration due to gravity; title: Constant acceleration formulæ; title: Using the constant acceleration formulæ; title: Velocity-time graphs; title: Using a velocity-time graph; title: Projectiles; title: Separating horizontal and vertical motion; title: Components of velocity; title: Maximum range; title: Equation of the trajectory; title: The envelope; title: Forces; title: Newton’s laws; title: Identifying forces; title: Equilibrium; title: What is a body?; title: Connected particles; title: Resistance forces; title: Air resistance; title: Terminal velocity; title: Dynamic friction; title: Static friction; title: Rolling motion; title: Resolving forces; title: Vector addition; title: Components of a force; title: Resolution of forces; title: Resolving forces in two directions; title: Rigid bodies; title: Why rigid?; title: The lever; title: Rigid bodies in equilibrium; title: Centres of gravity; title: Using symmetry; title: Archimedes’ calculations; title: Combining shapes; title: Hanging from a fixed point; title: Stability; title: Momentum; title: Momentum; title: Conservation of momentum; title: Collisions and explosions; title: Impulse; title: Duration of impact; title: Coecient of restitution; title: Oblique impacts; title: Energy; title: Potential energy and kinetic energy; title: Conservation of mechanical energy; title: The work-energy principle; title: Power; title: Circular motion; title: Centripetal acceleration; title: Motion in a horizontal circle; title: Motion in a vertical circle; title: The pendulum; title: Gravitation and planetary motion; title: The Copernican model; title: Kepler’s first law; title: Kepler’s second law; title: Kepler’s third law; title: Newton’s law of gravitation; title: The language of vectors; title: Vectors; title: Displacement vectors and vector addition; title: Position vectors; title: Vectors for velocity, momentum, acceleration, force; title: Unit vectors