10_1425_web_Lec_10_MoreCircularMotion

10_1425_web_Lec_10_MoreCircularMotion - More Circular...

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More Circular Motion Physics 1425 Lecture 10 Michael Fowler, UVa.
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The Conical Pendulum A mass moving in a horizontal circle , suspended by a string or rod from a fixed point above. If the tension in the string or rod is T , and the string is θ degrees from the vertical, a 2 2 sin / , cos , tan / . T mv r T mg v rg θ = = = T mg
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for the Conical Pendulum Notice how vector addition gives a T mg θ ma F ma = F mg T ma = +=  mg ma T
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Conical Pendulum as Control An early steam engine: as the conical pendulum rotates faster, driven by the engine, the masses rise and the levers cut back the steam supply. It can be preset to keep the engine within a given speed range.
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Car on Flat Circular Road For steady speed v on a road of radius r , there must be a centripetal force mv 2 / r . This is provided by friction between the tires and the road : at maximum nonskid speed a 2 c / F mv r = N fr F 2 fr s s / F N mg mv r µµ = =
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Total Road Force on Car The actual force on the car from the road is the
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This note was uploaded on 12/07/2011 for the course PHYSICS 1425 taught by Professor Michaelfowler during the Spring '10 term at UVA.

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10_1425_web_Lec_10_MoreCircularMotion - More Circular...

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