P0412

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Unformatted text preview: 280 CHAPTER 4. WORK AND ENERGY 4.12 Chapter 4, Problem 12 Problem: A package of mass m is elevated from a conveyer belt to a surface above by moving along a frictionless semicircular track of radius R. The upper surface is located a distance h above the conveyer belt. The package’s speed at the moment it reaches the upper surface is v . (a) Determine v and the belt speed, vo , needed to ensure that the package remains in contact with the track and reaches the upper surface with zero contact force from the track (so that it moves smoothly to the upper surface). Express your answers in terms of R, h and gravitational acceleration, g . (b) Determine the distance, d, that the package moves along the upper surface before coming to rest if the coefficient of kinetic friction between the surface and the package is µ. Express your answer in terms of R and µ. .. . ............. .. ............. ............ . .. . ........... .. . . . . ...................................... ... ....................... . ...................................... ........................................ .. . .... . ..... ... . ................. ..... .. .. . . .. . .. ....... ..................... ................... . ....... .... . ..................... . ... . ...................... ..................... ...... . ........................ ...................... ...................... ..... ............ ... . . ..... . . . ..... ... . . ................................ ....
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