Chapter 3, Problem 7P

Plot the unit step and unit ramp response curve for the following closed loop transferfunction using MATLAB. Indicate clearly the input and output in your plot Auto Controls provide matlab code

Using a "for loop" in MATLAB program to obtain the unit-step response of thissystem for the following four cases in a single plot What can you observe from the plot? Auto Controls Provide matlab code

Problem 2 (40 Points) A particle of mass m is embedded at a distance a from the center of a massless circular disk of radius r. The disk rolls without slipping down a plane inclined at an angle a with the horizontal. A horizontal force of Ễ = −Fxî + Fyĵ resists motion of the disk down the plane by pushing on the disk at the axle that runs through the center of the disk. a) Find the kinetic energy T. (10 points) b) Find the potential energy V. (10 points) c) Write a position vector to the axle at the center of the wheel in terms of x and y. (10 points) d) Using virtual work, find the applied force Q₁ that would go in Lagrange's Equations. DO NOT WRITE OUT OR SOLVE LAGRANGES'S EQUATIONS. (10 points) x r m e 10 g F α HINTS 1) Consider using the STATIONARY red xy frame a reference frame from which to draw vectors 2) The red xy system DOES NOT move. It is stationary. 3) Consider that the disk rolls a distance of re down the ramp

Draw a counter balance circuit of a vertical cylinder. using counter balance valve and external load.

please sketch a stress-strain diagram for a typical structural steel in tension and display all of the important features.

Problem 1 (30 Points) Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in both scenarios, there is one generalized coordinate, . R Scenario 1 R m R g Scenario 2 m HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the bowl (scenario 1), or the pivot point of the pendulum (scenario 2). Part I a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points) b) What can you say about the systems based on the Lagrangian? (2 points) c) Solve for the equations of motion for both systems. (8 points) Part II Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to determine the normal force acting on the mass. a)…

Consider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.

(Read Image) (Answer: ω = 1.10 rad/sec CW)

What is the configuration of the control loop if steam must be shut down in case of a problem? (I found this question on the internet and was wondering what the answer is) A.Valve is fail open, PIC is direct-acting, TIC is reverse acting, and controller algorithm is feed-forwarding.B. Valve is fail open, PIC is reverse-acting, TIC is direct acting, and controller algorithm is cascade.C. Valve is fail closed, PIC is direct-acting, TIC is reverse acting, and controller algorithm is feed-forward.D. Valve is fail closed, PIC is reverse-acting, TIC is reverse acting, and controller algorithm is cascade.