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When only blade rotation and the hinge–spring and offset are included in the calculation of the flap angle, theonly non-zero term is the steady state flap angle, βo.a) What is the derivative of the steady state flap angle with respect to wind velocity? Assume that the axialinduction factor is also a function of wind velocity.b) Assuming that the Lock number is positive, what would the effect of a negative value of da/dU be on thesteady state flap angle?c) Suppose a = 1/3 and da/dU = 0. In this case, what is the expression for the derivative of the steady state flapangle with respect to wind velocity?d) What is the derivative of the steady state flap angle with respect to blade pitch?

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Explain the action of the conventional shock absorber on both compression (jounce) and rebound strokes.

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Problem 2: It is important when designing ships to ensure that gyroscopic effect of the mounted turbine engine and its direction (torque reaction of the gyroscopic effect) are well identified prior to mounting the engine along with body axis. Your role in a team working in ship manufacturing company is to analyse the mounting process and calculate the required information to prevent any expected gyroscopic effect on the ship navigation line (no unwanted steering of the ship due to gyroscopic torque). Your manger asked you to provide detailed report of your calculations and final professional recommendations after giving you the following information: - The mounted engine rotates anticlockwise at 8000 rpm, when viewed from front. - The moment of inertia of all the rotating parts are 230 kg.m². The ship makes a right-hand turn of radius of 400 m at speed of 2.2 m/s.

2c) There are many types of traffic control system for the lift system. Give a short account on the following three control systems.  (i) Down collective control; (ii) Directional collective control; and (iii) Group supervisory control.

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