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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.
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A curve of radius 40 m is banked for a design speed of 100 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely create the curve?
Determine the tension in each cable if boat has a mass of 490 kg and the angle of each cable is 50 degrees from the horizontal and the boat is being momentarily held at rest. Evaluate this to the tension when the boat is raised and held at rest so th..
A long wire lying along the x-axis carries a current of 1.60 A in the +x direction. There is the uniform magnetic field present, given by B=0.003i + 0.004j + 0.002k, where i, j, k are the unit vectors along cartesian coordinate axes') in units of Tes..
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A 30-06 caliber hunting rifle fires a bullet of mass 0.0146 kg with the velocity of 314 m/s to the right. The rifle has a mass of 2.49 kg.
What would be the potential difference VC - VB across the thin resistor if the battery emf is 4.00 volts? Suppose that the electric field in the thick wires is very small (so that the potential differences along the thick wires are negligible)
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A golfer takes two putts to get his ball into the hole once he is on green. The first putt displaces the ball into the ball 6.7 m east, and the second 2.16 m south. What displacement would have been needed to get the ball into the hole on first putt.
A child and sled with a combined mass of 49.20 kg slide down a frictionless hill that is 7.38 m high. If the sled starts from rest, what is its speed at the bottom of hill.
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A proton moves perpendicular to a uniform magnetic field, B, at 1.6 multiplied by 107 m/s and experiences an acceleration of 1.8 multiplied by 1013 m/s2 in the positive x direction while its velocity is in the positive z direction. Find out the magni..
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