Kinematics Acceleration, Centripetal Force, Universal Joint, de Sitter Invariant Special Relativity, Rotation Operator
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 34. Chapters: Acceleration, Rotation, Centripetal force, Universal joint, De Sitter invariant special relativity, More...
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 34. Chapters: Acceleration, Rotation, Centripetal force, Universal joint, De Sitter invariant special relativity, Rotation operator, Instant centre of rotation, Velocity, Rational motion, Screw theory, Cell Transmission Model, Geneva drive, Klann linkage, Four-bar linkage, Burmester's theory, Kinematic pair, Mechanism, Kenneth H. Hunt, Heat current, Torricelli's equation, Screw joint, Revolute joint, Prismatic joint, Cylindrical joint, Center of mass coordinates, Centrode. Excerpt: Centripetal force (from Latin centrum "center" and petere "to seek") is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path. The mathematical description was derived in 1659 by Dutch physicist Christiaan Huygens. Isaac Newton's description was: "A centripetal force is that by which bodies are drawn or impelled, or in any way tend, towards a point as to a center." The magnitude of the centripetal force on an object of mass m moving at a speed v along a path with radius of curvature r is: where is the centripetal acceleration. The direction of the force is toward the center of the circle in which the object is moving, or the osculating circle, the circle that best fits the local path of the object, if the path is not circular. This force is also sometimes written in terms of the angular velocity of the object about the center of the circle: Expressed using the period for one revolution of the circle, T, the equation becomes: For a satellite in orbit around a planet, the centripetal force is supplied by gravity. Some sources, including Newton, refer to the entire force as a centripetal force, even for non-circular orbits, for which gravity is not aligned with the direction to the center of curvature. The gravitational force acts on each obj...