Show all works please Seen in Figure 1, a small cart (with mass m and position x2) is riding inside a larger cart, which is massless, andhas a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another springconnects the exterior of the large massless cart to an input position, .For this problem, the diagram is similar to the one in Homework 2, Problem 1. It has the same equations ofmotion. You are not required to re-derive the equations of motion - please reference the solutions. Given this,Xukimx1kwwmx2Figure 1: Schematic of the mechanical system to model in Problem 1.Your tasks:A. Find the state-space equations for the system in matrix form using ₁ and 2 and their derivatives.B. Represent the mechanical system in 2nd order matrix form using ₁ and 2 and their derivatives.

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Answered: Seen in Figure 1, a small cart (with…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Seen in Figure 1, a small cart (with mass m and position 2) is riding inside a larger cart, which is massless, and has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, . For similar to the one in Homework 2, Problem 1. It has the same equations of the equations of motion - please reference the solutions. Given this, motion. Your tasks: Xu im X1 + C m X2 ( O O O A. Draw FBD and write equations of motion B. Find the state-space equations for the system in matrix form using x1 and x2 and their derivatives and also represent the mechanical system in 2nd order matrix form uations for the system in orm using a, and #2 and their derivatives. nd 2 and their derivatives.
Problem 5 Consider the two-mass system connected by two springs. Let coordinates x, and x, be such that when they are both zero, the springs are at their natural lengths. Write down the equations of motion. Use the Matlab command ode45 to solve the initial value problem with parameters m = m2 = k, = 1, k2 = 10 and initial conditions x,(t = 0) = *,(t = 0) = *,(t = 0) = 0, x2(t = 0) = 0.1 for te [0,67]. Plot x, and x2 as functions of t. Submit your plot as well as codes.
1, a small cart (with mass m and position 2) is riding inside a larger cart, which is massless, and has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, u Your tasks: k A Draw the free body diagram of the larger cart. (5) B Draw the free body diagram of the smaller cart. C Derive the equations of motion for the system of carts m x2
2- Please, Derive Equation of Motion for the 2DOF system with Harmonic force due to Shaker. Note: I want EOM in Matrices form to get Natural frequencies and Mode shapes + Steady-State Response of Spring-Mass System
For the given mechanism, mechanical advantage for the configuration given is?
Model the following system by writing the two equations of motion for the double-pendulumsystem shown in the figure below. Assume the displacement angles of the pendulums are smallenough to ensure that the spring is always horizontal. The pendulum rods are taken to be mass-less, of length l, and the spring is attached a distance of d down the length of the rods.
Find the equations of motion for the mechanical system in Figure 2..
Consider the motor-less, three link robot below where all the links have the same mass, m, and length, 1, and its base is a distance d from the right column. Its end-effector is attached to a massless collar that slides along on a vertical rail. The collar is attached to the ceiling by a spring. Sketch the FBDs, 1 for each link. Write the constraint equation(s) and calculate the number of DOFs. T d
The members of the mechanism are pin connected. The spring is unstretched when 0 = 0°. Neglect the mass of the links. A vertical force of 800 N acts at A. a. Draw how the virtual displacement on this mechanism would look like. b. Write down x and y coordinates as a function of the angle 0 with the respective derivative of the virtual displacements expressions. c. Write the virtual work equation d. Determine the angle 0 for equilibrium k = 6 kN/m 1 m 1 m 1 m 800 N Dwwww
Find the degrees of freedom of the given mechanism.
Refer to Figure Q2. A tray of mass mı is supported by 3 springs as shown in Figure 3(a). The natural frequency fa is 5.0Hz. An additional mass motor of m2 = 3.0kg (in OFF condition) is placed at the center on top of the mass, the natural frequency is observed to be 2.5Hz. a) Calculate the mass mı. The motor m2 is ON and it rotates at the speed of 600 rpm. Calculate: a) The transmissibility b) Attenuation c) Explain what will happen if the system run at Resonant Frequency m2 m1 Figure 2(a): Original system Figure 2(b): system with m2 added
For each of the systems shown in Figure P4.52, the input is the force f andthe outputs are the displacements x1 and x2 of the masses. The equilibriumpositions with f = 0 correspond to x1 = x2 = 0. Neglect any friction betweenthe masses and the surface. Derive the equations of motion of the systems.

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