550_Dynamics 11ed Manual

550_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 17 Problem 17-61 The roll of paper of mass M has radius of gyration k A about an axis passing through point A . It is pin-supported at both ends by two brackets AB . If the roll rests against a wall for which the coefficient of kinetic friction is μ k and a vertical force F is applied to the end of the paper, determine the angular acceleration of the roll as the paper unrolls. Given: M 20 kg = a 300 mm = k A 90 mm = b 125 mm = k 0.2 = g 9.81 m s 2 = F 30 N = Solution: θ atan a b = Guesses N C 1N = α 1 rad s 2 = T AB = Given N C T AB cos () 0 = T AB sin k N C Mg F 0 = Fb k N C b Mk A 2 = N C T AB Find N C , T AB , = N C T AB
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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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