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CAPA VIII - Nicholas Charles Miller PHY183 Spring 2010...

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Unformatted text preview: Nicholas Charles Miller- PHY183, Spring 2010 - Physics for Scientists and Engineers I 1 Homework Set 8 Due date: Sun Mar 28 23:59:00 2010 You put a coin on a horizontal wheel of radius 44.5 cm. If the coefficient of static friction between the coin and the wheel is 0.61 and you want to coin to remain on the wheel, what is the maximum angular velocity with which you can spin the wheel? Tries 0/99 A proposed space station includes living quarters in a circular ring 45.0 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on Earth? Tries 0/99 Radius of Curvature 2 A crate of mass 50 kg is loaded onto the back of a flatbed truck. The coefficient of static friction between the box and the truck bed is 0.38. What is the smallest radius of curvature (in m) that the truck can take, if the speed with which it is going around a circle is 33 m/s? Tries 0/99 Nicholas Charles Miller- PHY183, Spring 2010 - Physics for Scientists and Engineers I 2 Homework Set 8 In the amusement park ride shown above the rider of mass m is held to the wall by friction as the cylinder of radius R rotates at an angular frequency ω . The coefficient of static friction is μ . Choices: a , b , c , d , e , f , g , h . A. Of the following expressions: a) ZERO b) g c) μg d) ω 2 R e) g + ω 2 R f) ( g 2 + ω 4 R 2 ) 1 / 2 g) g/ (1 + μ ) h) [( g/μ ) 2 + ω 4 R 2 ] 1 / 2 which describes the magnitude of rider’s acceleration? B. Of the following expressions: a) ZERO b) mg c) μmg d) mω 2 R e) mg + mω 2 R f) m ( g 2 + ω 4 R 2 ) 1 / 2 g) mg/μ h) m [( g/μ ) 2 + ω 4 R 2 ] 1 / 2 which describes the magnitude of the frictional force? C. a) b) c) d) e) Which diagram best illustrates the forces acting on the rider? D. Of the following expressions: a) g/R b) ( g/R ) 1 / 2 c) mg/R d) ( mg/R ) 1 / 2 e) gR/μ f) [ g/ ( μR )] 1 / 2 g) [( g/R ) 1 / 2 ] /μ h) μ ( g/R ) 1 / 2 which describes the minimum angular frequency for keeping the rider pinned to the wall? Tries 0/99 Nicholas Charles Miller- PHY183, Spring 2010 - Physics for Scientists and Engineers I 3 Homework Set 8 Due on Sunday, Mar 28 at 11:59 pm (EDT) Angular Frequency One of the amusements at many carnivals is a rotating cylinder. The cus- tomers step inside and stand with their backs to the wall. The cylinder spins very rapidly, and at some angular velocity the floor is pulled away. The thrill-very rapidly, and at some angular velocity the floor is pulled away....
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