In a cruise controller the throttle of a car is controlled by a servomechanism with the aim of keeping the vehicle moving at a velocity set by the driver. We model the system with the differential equation mv =u-bv where u is the velocity of the car, m = 1500 kg is the mass of the car and b = 100 Ns/m is the friction coefficient (mainly due to air resistance). We want to design a PI-controller for the cruise controller. a) Find the transfer function from reference, r, to output velocity when u = : kp(r — v) + k₁ f (r – v). b) Approximate your transfer function in a) by the second order system H(s) = ao/(s² + b₁s + b₂), with ao, b₁ and b2 constant. Choose parameters (kp, kı) for the PI-controller to get an overshoot of 10% and a rise time of 2 s. c) What is the relation between the rise time and overshoot of the system in a) and the simplified second order model assumed in b)? (Are they smaller or larger? Motivate.)

Hello, I need your help.    Topics: Force System of a Force, Moment of a Force, Moment of a Force-Scalar Formulation, Moment of a Force-Vector Formulation, and Principle of Moment.   Note: Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” after. Thank you so much.

Select the correct statements regarding the addition of moments.  (Select 3)    Moments have directions, so a negative value implies it is along the opposite direction from the reference direction.            All the moments need to have the same reference point/pivot in order to add together.            Calculate each moment by multiplying each force with its distance to the reference point, and add all values together, regardless of their direction.            You have to define the reference direction first, either clockwise or counter-clockwise.

I asked for problems 6 and 7 to be answered, but I did not get a properly structured answered as the example shows on problem number 1. Here is the link to the questions I already had answered, could you please rewrite the answer so its properly answered as the example shows (Problem 1)?   https://www.bartleby.com/questions-and-answers/it-vivch-print-reading-for-industry-228-class-date-name-review-activity-112-for-each-local-note-or-c/cadc3f7b-2c2f-4471-842b-5a84bf505857

Statics of Rigid Bodies Note: If you have already answered the problems in this post, kindly ignore it. If not, then answer it. Thank you, Tutor! Content Covered: - Method of Joints Direction: Create two problems based on the topic "Method of Joints" and then solve them with a complete solution. In return, I will give you a good rating. Thank you so much! Note: Please bear in mind to create two problems based on the topic "Method of Joints." Be careful with the calculations in the problem. Kindly double check the solution and answer if there is a deficiency. And also, box the final answer. Thank you so much!

It is still saying that is not correct. I have tried this practice problem over and over and that is the only part that it keeps saying is incorrect. the negative and units are correct. I appreciate your help.

Solidworks

Can some one please help to solve this question following the directions and showing neat work and formulas. PLEASE AND THANK YOU!!!

Please show work for all these answers and a clear and short explantion of each one

Note: please show step by step solution. Hence, double check the solution. For correction purposes!. I require  handwritten working out please!. Kindly, please meticulously, check the image for conceptual understanding and for extra information purposes!. Also on occasions, I receive wrong answers!!. Please go through the question and working out step by step when you finish them. Appreciate your time!.