PAP111_Lecture07 - PAP111 Lecture7 NewtonsLaws...

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PAP 111  Mechanics and Relativity  Lecture 7 Newton’s Laws  Centripetal Force  Non-Inertial Reference Frame
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Uniform Circular Motion and  Centripetal Acceleration Recall that the centripetal acceleration a c =v 2 /r  is required for uniform circular motion. This acceleration is directed toward the  center of the circle and is always  perpendicular to the velocity of the object in  circular motion. What causes the centripetal acceleration? Answer:        Centripetal Force
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Centripetal Force - I The Centripetal Force,  F r like the centripetal  acceleration  a c , directs  toward the center of the  circle. By Newton’s Second Law, The centripetal force is  responsible for the change in  direction of the velocity  vector. r mv ma F c r 2 = =
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Centripetal Force - II The centripetal force is  supplied by the pull  from the hand. If the force vanishes (for  example, when the  string breaks), the  object will move in a  straight line path  tangent to the circle  -according to Newton’s  first law. 
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