PPT-Review: Newton’s 1

st amp 2 nd Laws 1 st law Galileos principle of inertia no force is needed to keep an object moving with constant velocity 2 nd law law of dynamics a n et force . 1 = 8.85 32 = 283.22 63 = 557.60 94 = 831.97 125 = 1106.34 2 = 17.70 33 = 292.07 64 = 566.45 95 = 840.82 126 = 1115.19 3 = 26.55 34 = 300.93 65 = 575.30 96 = 849.67 127 = 1124.04 4 = 35.40 35 = 309.78 st. & 2. nd. Laws. 1. st. law. (. Galileo’s principle of inertia. )- no force is needed to keep an object moving with . constant velocity. 2. nd. law. (. law of dynamics. ) – a . n. et force . Outline Bifurcationsofiterations.Graphicaliteration. 1Review:Newton'smethod. Theexistencetheorem-theassumptions. Basinsofattraction. 2Theimplicitfunctiontheorem. 3Bifurcationsofiterations. Attractorsa To Cambridge University . sizar. in 1661 . Plague forced university to close – Newton goes home to . Woolsthorp. Annus. mirabilis of 1666. Calculus. Problem of the Moon. Dominated by Aristotle. Newton read Descartes, Galileo, . Building . Science Champions. In thought. http://www.wimp.com/spaceshuttle/. After watching the Discovery launch, explain how Newton’s three laws are used by NASA scientist to launch a space shuttle. . Yong Ma. Sparse model space for projected Hessian. Quasi-Newton FWI. Eigenvector (largest . eigenvalue. ). Eigenvector (smallest . eigenvalue. ). st. & 2. nd. Laws. 1. st. law. (. Galileo’s principle of inertia. )- no force is needed to keep an object moving with . constant velocity. 2. nd. law. (. law of dynamics. ) – a . n. et force . Motion. Lesson 15. February 8. th. , 2011. Newton’s Second Law of Motion. If the external force on an object is not zero, the objet accelerates in the direction of the net fore. The magnitude of the acceleration is directly proportional to the net force and inversely proportional to the objects mass. . Newton’s method. Need initial guess and derivative. Quadratic convergence. Proof via . taylor’s. theorem. x_n+1 = . x_n. – f(. x_n. )/f(. x_n. ). Derivation from point-slope y = m*(x – x_0) + y_0:. Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first.. “To every action there is an equal and opposite reaction”. F(AB) = - F(BA). nd. Laws. 1. st. law. (. Galileo’s principle of inertia. )- no force is needed to keep an object moving with . constant velocity. 2. nd. law. (. law of dynamics. ) – a . n. et force . must be applied to . Newton Unfiltered Cabernet Sauvignon Feature at Del Frisco Steak Alexis Brock – New York Date & Location: February 1st – spring 2014 at Del Frisco Steak, Midtown Manhattan institution for the finance industry. An Invisible Force. Gravity. Every object pulls on every other object with an invisible force called . gravity. .. There is . gravity. between you and your toy car, but you won’t notice it because it is so weak.. Eloise Meller. Global Challenges Research Fund. Research Councils UK. gcrf@rcuk.ac.uk. Global Challenges Research Fund. Cutting edge research which addresses . the problems faced by developing . countries.