k2 b Input u(1) Figure QI elle
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.22P
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Question
Q1 A mechanical system with a rotating wheel of mass Mw (uniform mass distribution) is shown in Figure Q1. Springs and dampers are connected to wheel using a flexible cable without skip on wheel.
(a) Determine all the mathematical modeling equations of the system for the translational and rotational motion.
(b) Using the result in Q1(a), determine the translational motion equation in term
of ? as a function of input motion ?.
(c) By referring to standard second-order system form, determine the expressions
for natural frequency and damping ratio of the system.
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