PHY183-Lecture32 - March 10, 2008 Physics for...

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Unformatted text preview: March 10, 2008 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Lecture 32 March 10, 2008 Physics for Scientists&Engineers 1 2 Main Results of Main Results of Circular Motion Circular Motion ! = d " dt f = ! 2 " #! = 2 " f T = 1 f ! = 2 " f = 2 " T v = r ! ! = d " dt = d 2 # dt 2 ! a = r ! t " r # 2 r a t = r ! a c = r ! 2 = v 2 r March 10, 2008 Physics for Scientists&Engineers 1 2 Main Results of Main Results of Circular Motion Circular Motion ! = d " dt f = ! 2 " #! = 2 " f T = 1 f ! = 2 " f = 2 " T v = r ! ! = d " dt = d 2 # dt 2 ! a = r ! t " r # 2 r a t = r ! a c = r ! 2 = v 2 r March 10, 2008 Physics for Scientists&Engineers 1 3 Constant Angular Acceleration Constant Angular Acceleration Kinematical equations for constant angular acceleration are obtained in complete analogy to those for linear motion with constant acceleration ! = ! + " t + 1 2 # t 2 ! = ! + " t " = " + # t " = 1 2 ( " + " ) " 2 = " 2 + 2 # ( ! $! ) March 10, 2008 Physics for Scientists&Engineers 1 4 Conical Pendulum Conical Pendulum What determines the angle of the Flying Trapeze ride? Two forces acting: Gravity, String tension Vertical component of the string tension balances weight Centripetal force = horizontal component of string tension Divide the lower by upper eq.: ! F g ! F c ! T T cos ! = mg T sin ! = mr " 2 tan ! = r " 2 g r ! March 10, 2008 Physics for Scientists&Engineers 1 5 Example: Hammer Throw Example: Hammer Throw Throw the hammer, a 12 cm diameter ball attached to a grip by a steel cable, a maximum distance. The hammers total length is 121.5 cm, and its total weight is 7.26 kg (4 kgtotal length is 121....
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PHY183-Lecture32 - March 10, 2008 Physics for...

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