A train mechanical system shown in Figure 1, consist of engine draw a car moving in one direction. The mass of the engine and the car will be represented by M1 and M2, respectively. The k is the stiffness coefficient of the spring held the two masses together and F represents the force applied by the engine, and the letter represents the coefficient of rolling friction. write the equations of motion in the form of: a- transfer function and b- state space. X 2 Where B1- μΜ 1g M2 M1 B2 = µM2 g B1 B2

A train mechanical system shown in Figure 1, consist of engine draw a car moving in one direction. The mass of the engine and the car will be represented by M1 and M2, respectively. The k is the stiffness coefficient of the spring held the two masses together and F represents the force applied by the engine, and the letter represents the coefficient of rolling friction. write the equations of motion in the form of: a- transfer function and b- state space. X 2 Where B1- μΜ 1g M2 M1 B2 = µM2 g B1 B2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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.
Find the transfer function X(s)/G(s) of the block diagram below.
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