Example: -1.5 ft It is desired to determine the drag force at a given speed on a prototype sailboat hull. A model is placed in a test channel and three cables are used to align its bow on the channel centerline. For a given speed, the tension is 40 lb in cable AB and 60 lb in cable AE. 4 ft Flow Determine the drag force exerted on the hull and the tension in cable AC.

A pilot flies at 850 mb level over a region with reported sea-level pressure of 1000 mb and temperature of 0 degrees celcius, and temperature decreases with height at 6.5 degrees celcius/km over the region, calculate the altitude of the airplane. Show the derivation of the altitude formular starting from hydrostatic balance.

A SPHERICAL BALOON IS 40 FEET IN DIAMETER AND SURROUNDED BY AIR AT 600F AND 29.92 in Hg abs. (a) If the balloon is filled with hydrogen at a temperature of 700F and atmospheric pressure, what total load can it lift? (b) if it contains helium instead of hydrogen, other conditions remaining the same, what load can it lift? (c) Helium is nearly twice as heavy as hydrogen. Does it have half the lifting force? R for hydrogen is 766.54 and for helium is 386.04 ft.lb/lb0R. Ans. (a) 2381 lb; (b) 2209 lb

By using the expression for the shear stress derived in class (and in BSL), show that the shear force on asphere spinning at a constant angular velocity in a Stokes’ flow, is zero.This means that a neutrally buoyant sphere (weight equal buoyancy force) that is made to spin in aStokes’ flow, will neither rise nor fall, nor translate in any preferential direction in the (x-y) plane. expressions for velocity are: v_r (r,θ)= U_∞ [1-3R/2r+R^3/(2r^3 )] cos⁡θ v_θ (r,θ)= -U_∞ [1-3R/4r-R^3/(4r^3 )] sin⁡θ Where v_r and v_θ are the radial and angle velocity, U_∞ is the velocity of fluid coming to sphere which very faar away from the sphere. And R is the radius of sphere.

3. Consider the generic aircraft geometry indicated below where the vertical tail is taken as a solid homogeneous flat plate with dimensions 1,h,t and mass density p. Compute I„ for the vertical tail only. (cmg ر۵ ر Xemg( Nose Mass Center Vertical Reference )پ ړ۵ ر¢Xv( Mass Center Vertical Tail Reference ( Xug, O, Zvg)

Three horses pull and guide a 132 kg payload down a river, exerting the forces shown in the figure, with F, = 29 N, F, = 38 N, F = 58 N, 0, = 30°, and 0, = 60°. What is the magnitude of the payload's acceleration? F2 Answer: What is the angle, measured relative to the positive x-axis, of the load's acceleration? Answer: Choose...

Suppose that over the next T = 30 seconds the driver can choose from the three possible force profiles, F(t), shown above, where P = 2000 N is the same maximum force reached during each profile. Write down an expression for each of the force profiles F1(t), F2(t), F3(t) as a function of the magnitude P and time. You can construct the force profiles from a combination of Heaviside functions and ramps (straight lines) with appropriate slope. Drag D 0 T/2 Case 1 U-HUT 3TAMATIU АЧАИ t $32 Speed v(t) P 10.100 t T/2 T T/2 Case 2 Case 3 T Force F(t)