EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 9, Problem 19P

Three masses are suspended vertically by a series of identical springs where mass 1 is at the top and mass 3 is at the bottom. If g = 9.81 m / s 2 , m 1 = 2 kg, m 2 = 3 kg, m 3 = 2.5  kg, and the  k ' s = 10 kg / s 2 , solve for the displacements x,

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Q2/ The out - of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 r.p.m.
Q2/ The out – of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 г.p.m.
Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m attached to a 50-kg block in an incline (©=30°). With the spring initially at equilibrium position, the block was pushed 0.3 meters up the incline by a 50-N external force applied parallel to the path. The coefficient of kinetic friction is 0.30. d) How much work is done by the block (in Joules) on the spring? e) How much work is done by the applied push on the block? f) How much work is done by friction?

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