6. Consider a 10N step input to the mechanical system shown below, take M = 15kg, K = 135N/m, andb = 0.4 Ns/m.(a) Assume zero initial condition, calculate the(i)System pole(ii)System characterization, and(iii) The time domain response(b) Calculate the steady-state value of the systemb[wwwK个хM-F(+)

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Answered: 6. Consider a 10N step input to the…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.6P

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A proposed hypersonic plane would climb to 100,000 feet, fly 3800 miles per hour, and crossthe Pacific in 2 hours. Control of the aircraft speed could be represented by the model in Figure.Find the sensitivity of the closed-loop transfer function T(s) to a small change in the parameter
Forcing Function Spring Constant f(t) k Mass m Friction Constant b Mass Displacement y(t) 3. Consider the following spring-mass-damper mechanical system (it is placed sideways, so that you won't need to consider gravity). The input is given by f(t), and the output is y(t). Find an equation in time domain that defines the relationship between the input f(t) and the output y(t).
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b. Using Simulink, simulate the transfer function airflow response, Q(t) (air entering respiratory system) for a sine wave input pressure Pao(t)= 2.5 cm·H2O (i.e. 5 cm·H2O peak-to-peak) at 15 breaths min' (or 0.25 Hz) for each lung model. Use the following parameters: -1 i. RC model: R= 1cm·H2O's L' and C=0.2 L·cm·H2O¯ RIC model: R= 1cm·H2O's·L', C= 0.2 L·cm·H2O¯ , and I= 0.01 cm·H2O L-s² Two-compartment model: R. = lcm H2O's L', Rp1,2 = 0.5 cm·H2O•s·L', Cp1,2=0.2 L·cm·H2O', and I= 0.01 cm H2O·L-•s² Mead model: R. = 1cm·H2O•s L', Rp = 0.5 cm:H2O•s·L', C1 =0.2 L·cm·H2O', Cw=0.2 L·cm·H2O-', C, =0.005 L·cm·H2O', and I= 0.01 cm H2O·L-1·s² ii. iii. iv.
Problem: For this assignment, you are required to analyze and compare the time response characteristics of second-order systems. Specifically, you'll work with the following three transfer functions: 1. 2. 3. 1 s² + 2s + 2 1 s² + 2s+1 1 s² + 4s + 4 Your task includes implementing these transfer functions, analyzing their step responses, and recording key time domain properties such as damping ratio, natural frequency, peak overshoot, settling time, and rise time. Finally, you need to create a table to compare these properties, highlighting the differences in behavior among the selected systems. Deliverables and Grading Criteria: Implementation of transfer functions and MATLAB code. [1 mark each] Step response plots. [1 mark each] Comparison table of time response properties. [1 mark each] Analysis and discussion of results. [1 mark each] Report organization and cover page [1 mark each]
2. For the system below, find the transfer function fromfi to x (driving point receptance) and from f. to ä, (driving point accelerance). What is the acceleration response of mass m, if m; = 2 kg, m; = 4 kg, k, = 40 N/m, k =100 N/m, and k; = 200 N/m, fi(t) = 20 cos(3t) N and f:(r) = 0? WW m, WW m W
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Q2: Derive the 1st order transfer function of a liquid-level system shown fig. (1) to determine the response of the outlet flow (q.(t)) to unit pulse change in the inlet flow (qin (t)). q (t) I Ih(t) 1 Fig.(1) R go (t)
Solve the following without the use of AI. Show all steps. Thank You!
A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.

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