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Ans. to check: 22.38 ft/s^2 in b1 direction

LR = 5m, LG = 2.5m and LC = 1.1m Q2. The Skylark family of sounding rockets consisted of a number of variants (denoted Skylark 5, Skylark 7, and Skylark 12 respectively). These are illustrated on Page 3. The data given below is based on that for the rocket motors they used (all manufactured and named by what was Royal Ordinance – now part of Roxel): Raven XI Motor Total mass: 1280 kg Length = LR See Case Table (units are m) Diameter = 0.44 m Goldfinch IIA Motor Total mass: 420 kg Length = LG See Case Table (units are m) Diameter = 0.44 m Cuckoo IV Motor Total mass: 242 kg Length = LC See Case Table (units are m) Diameter = 0.44 m The payload mass which is additional to the motor masses is to be taken as 100 kg. (a) For the configurations of the three rockets shown on Page 3 in Fig. Q2: (i) Determine the Pitching/Yawing moment of inertia of each rocket about the base of each rocket. (ii) Explain how you could then find the the Pitching/Yawing moment of inertia of each rocket about its…

1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load s1 in inches and in feet made by the load during this time.

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Homework Q1/ A pulley is driven by a flat belt running at a speed of 600 m/min. The coefficient of friction between the pulley and the belt is 0.3 and the angle of lap is 160°. If the maximum tension in the belt is 700 N; find the power transmitted by a belt. [Ans. P= 3.974 kW]

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Required information The cutaway of the gun barrel shows a projectile moving through the barrel. The projectile's exit speed is vs = 1675 m/s (relative to the barrel), the projectile's mass is 18.5 kg, the length of the barrel is L = 4.4 m, the acceleration of the projectile down the gun barrel is constant, and Ⓡ is increasing at a constant rate of 0.18 rad/s. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. L Determine the pressure force acting on the back of the projectile. It is given that = 20°. (Round the final answer to four decimal places.) The pressure force on the projectile is 31.8882 × 106 N.

The plot below shows the acceleration of a mass placed at the end of a beam as it oscillates: 20 Which we model as: Acceleration (m/s²) 15 10 5 0 -5 -10 -15 -20 0.5 1 Wd 1 1.5 1 2 = wn√1 y(t) = Ae-3wnt sin(wat) y(t) = Ae-Ct sin 1 2.5 Time (s) = 2π T 2π T 1+ 3 2π We will use MATLAB to find the decay constant C and the period T. We can then use these to calculate the damping ratio and the natural frequency @n, using: 3.5 T 4 2 and C = {wn O data zeros peaks decay fit 4.5 Using the information above, derive the expression shown below for the damping ratio 3. 1 3 = 5

1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why?  Given: L, g, and m. 2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]

METERS | FEET MODEL: IA6BJM SIZE: 8" x 6" x 13" RPM: 1750 76+250 PRESSURE MAX: 120 PSI GRAPHIC 61+200 FØ13," (75 HP) SCALE 70% 75% 80% 82% 60 GPM Ø12%" (60 HP) 83% 84% 83% 46-150 82% 80% Ø12%" (50 HP) 75% 011%" (40 HP) 70% 65% 31+100 100 BHP Ø10%" (30 HP) NPSHr ftm 75 BHP 60 BHP 30+9 15+50 50 BHP 30 BHP 40 BHP 20+6 NPSH. 10+3 GALLONS PER MINUTE LITERS PER MINUTE Refer to the system curve drawn on this pump curve. If the pump is to move 1200 gpm, what is the expected system total dynamic head (ft)? 1136+300 2271+600 00620 4543+120아 5678+1500- 6414+1800 7949+2100- 9085+2400 * 11356+3000 10 FEET

Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocitv = 0 m/s Time to descend = A secs 2. ( Distance travelled = 0.25m You have been asked to use this information to determine with 4 s.f. accuracy: Drum Cable a) The final linear velocity of the load b) The linear acceleration of the load Load c) The final angular velocity of the drum d) The angular acceleration of the drum e) The tension force in the cable f) The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.

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A 5-kg object is acted upon by a horizontal force P=16t [N], where t is time in seconds. The coefficient of kinetic friction is = 0.18. At t = 2 s, the object's velocity is 5 m/s. Determine the velocity at t = 4 s. Use the Impulse- Momentum method. Provide the free-body diagram and show all work. fk P

C Dynamic Analysis and Aeroelasticity SECTION B Answer TWO questions from this section ENG2012-N The moment of inertia of a helicopter's rotor is 320kg. m². The rotor starts from rest and at t = 0, the pilot begins by advancing the throttle so that the torque exerted on the rotor by the engine (in N.m) is modelled by as a function of time (in seconds) by T = 250t. a) How long does it take the rotor to turn ten revolutions? b) What is the rotor's angular velocity (in RPM) when it has turned ten revolutions?