8. The motion of a helicopter, Figure 3(a), is controlled by controlling the pitch angle (angle of attack) of the blades, Figure 3(b). PITCH YAW ROLL Figure 3 (a) The directions a helicopter can move in and the associated name of control. Angle of attack Horizontal airflow Rotor blade (end view) Direction of blade rotation Figure 3 (b) Pitch angle (angle of attack) of the blades The pitch angle to blade control of a helicopter can be represented by the following (simplified) transfer function: e(s) R(s) 20 2s² + s + 0.4 What are the poles of the system? Is the system stable? b) What are the natural frequency and damping ratio? c) d) What is the steady-state error of the system to a unit step input? What are the rise time and percent overshoot? e) MATLAB. f) Plot the time response for the open loop system for a unit step input using Add a proportional controller K and a unity feedback, see Figure 3(c), find a proper gain K such that the steady-state error to a unit step input decreases to 0.005.

1) A slider-crank mechanism is a planar mechanism that performs a conversion between the translational motion of a slider and the rotational motion of a crank. It is used in many different engineering applications. A familiar example will be a piston engine. In Figure 1, a basic slider- crank mechanism is shown. В b dạc Figure 1. A basic slider-crank mechanism 0< 0< 2n; b = 20 cm; I= 50 cm 1- Find the angle of Ø and the distance of dAC as a function of 0. 2- If crank AB has a rotational speed of w = 1000 rev/min; find velocity of C (Vc) and velocity and acceleration of link BC (vBC & aBC)

Energy Star Washing Machine Model #: GTW500ASN Style: Top Loader Cubic Feet: 4.5 cubic feet Yearly Energy Usage (from Energy Guide): 210 kWh/y Non-Energy Star Washing Machine Model #: GTW465ASN Style: Top Loader Cubic Feet: 4.5 cubic feet Yearly Energy Usage (from Energy Guide): 175 kWh/yr Picture of Appliance: Website Link to Retail Store Purchase Price: (1) $498.00 Yearly Energy Use (in kWh): 175 kWh/yr Energy Cost per Year (Energy usage in kWh from above x .1111 cents/kWh): (3) Cost Recuperation Estimation 1 Picture of Appliance: Website Link to Retail Store Purchase Price: (2) $478.00 Yearly Energy Use (in kWh): 210 kWh/yr Energy Cost per Year (Energy usage in kWh from above x.1111 cents/kWh): (4) Initial Cost Difference: Energy Star Appliance Price (1) - Non-Energy Star Appliance Price (2) Calculation (Show Your Work): This is the original upfront price difference. In other words, how much more money the Energy-Star Appliance costs. 2. Cost Per Year Difference: Non-Energy Star…

How will you differentiate the three flight control systems used in large aircraft? (Mechanical, Hydromechanical, and Fly-by-wire)