Lecture 5 - Newton's Laws

# Lecture 5 - Newton's Laws - If 0 constant F a v = = = ur r...

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Shoot the Monkey

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Newton's Laws First Law: Every body continues in its state of rest or of uniform motion in a straight line unless it's compelled to change that state by forces impressed upon it. Second Law: The change of motion of an object is proportional to the force impressed and is made in the direction of the straight line in which the force is impressed. Third Law: To every action there is always opposed an equal reaction; or, the mutual actions of two bodies upon each other are always equal and directed to contrary parts.
Second Law: d p F dt dv m dt F ma = = = ur ur r ur r

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The First Law is subsumed by the Second.

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Unformatted text preview: If 0, constant F a v = = = ur r r ( 29 ( 29 2 Last time: Galileo's kinematics 1 2 This time: Newton's dynamics Same result, but see why i r t r t v t gt = +-r ur ur ( 29 2 2 , , x y z x x x F F F F F ma dv m dt d dx m dt dt d x m dt = = = = = ur ( 29 On Earth any projectile mass = 0,0, m F mg =-ur direction constant x x x x x x dv dt v v dx v dt x v t x = = = = = + x y x v t x y v t y = + = + 2 1 2 z z z z z F ma mg a g v gt v z gt v t z = = -= -= -+ = -+ + 2 Shoot the Monkey 1 2 x y z x x v t y y v t z z v t gt = + = + = +-...
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