575_Dynamics 11ed Manual

575_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 17 Problem 17-94 The spool has mass M and radius of gyration k G . It rests on the surface of a conveyor belt for which the coefficient of static friction is μ s . Determine the greatest acceleration of the conveyor so that the spool will not slip. Also, what are the initial tension in the wire and the angular acceleration of the spool? The spool is originally at rest. Units Used: kN 10 3 N = Given: M 500 kg = k G 1.30 m = r i 0.8 m = s 0.5 = r o 1.6 m = Solution: Guesses α 1 rad s 2 = a x 1 m s 2 = a C 1 m s 2 = N s 1N = F s = T = Given TF s Ma x = N s Mg 0 = Tr i F s r o M k G 2 = F s s N s = a x r i = a C r o r i () = a x a C N s F s T
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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