Q1. Consider the uniform flow with speed Uinf=2, over a source/sink pair of strength Q and -Q correspondingly, located at x=-.5 and +.5. Find the value of Q that would make the thickness of the equivalent body 0.1 times its length (i.e the value of y at the dividing streamline at x=0 is 1/10 of the x coordinate at the aft stagnation point.). What happens to Q if Uinf were changed to 4? What happens to Q/Uinf?

Q2. The drawing shows a uniform horizontal beam attached to a vertical wall by the frictionless hinge and supported from below at an angle θ = 37o by a brace that is attached to a pin. The beam has a weight of 310N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Find magnitudes of these three forces.