Lecture 13

Lecture 13 - Last Time Physics 231 General University...

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1 Physics 231 General University Physics Spring 2007 Lecture 13 Last Time ± Uniform Circular Motion ² Kinematics ² Dynamics ± Horizontal Circle Today ± Circular Motion ² Vertical Circle ± Non-Uniform Circular Motion ² Kinematics ² Dynamics HCM: Normal Force: Banked Curve [] [ ] 2 sin cos 0 tan rc zz v Fn m am r F n mg ma vr g θ Σ Σ ⎡⎤ == = ⎢⎥ ⎣⎦ = −= = = HCM: Banked Curve (Friction) ± Component of normal force contributes to centripetal force. ± Critical velocity v 0 for which no friction needed ± Friction directed uphill/downhill for speeds slower/faster than critical speed 0 g = Dynamics: Vertical Circular Motion ± Demo: Swing Tennis Balls in a Bucket ² Why don’t the tennis balls fall out?
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2 VCM: Tension and Weight ± Demo: Swing Ball attached to Spring ² Notice length of spring at top versus bottom ² Size of tension ± Demo: Swing Ball attached to String ² Slow down until string collapses Problem: Swing a Ball on a String ± Suppose you swing a ball on a string 1m long in a vertically-oriented circle. Calculate the minimum
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Lecture 13 - Last Time Physics 231 General University...

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