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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.
Two boats start together and race across a 56-km-wide lake and back. Boat A goes across at 52 km/h and returns at 56 km/h. Boat B goes across at 36 km/h, and its crew, realizing how far behind it is getting, returns at 79 km/h. Turnaround times are n..
A rifle with a barrel length of 56 fires an 8 bullet with a horizontal speed of 350. The bullet strikes a block of wood and penetrates to a depth of 14. (a) What resistive force (assumed to be constant) does the wood exert on the bullet? (b) How long..
What is the electric force
A 5.00 x 10^4 kg space probe is travelling at a speed of 14000 m/s through deep space. Retrorockets are fired along the line of motion to decrease the probe's speed. The retrorockets generate a force of 4.00 x 10^5 N over a distance of 2600 km. What ..
A worker drops a wrench from the top of a tower 88.00 m tall. With what velocity does the wrench strike the ground? (Suppose the positive direction is upward.)
The 3.3 kg piece of wood slides on the surface. The curved sides are perfectly smooth, but the rough horizontal bottom is 35 m long and has the kinetic friction coefficient of 0.24 with the wood. The piece of wood starts from rest 6.0 m above the rou..
For the circuit shown below, C = 0.113 µF and = 103 V. The switch throw is rotated to contact b after having been at contact for the long time, and 3.47s later the potential difference across the capacitor is equal to 1/2. What is the value of R.
A spring with spring constant 14 hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 3.0 and released. The ball makes 17 oscillations in 16 seconds. What is it the mass of ball.
At rest, the car's horn sounds at a frequency of 455 Hz. The horn is sounded while the car is moving down the street. A bicyclist moving in the same direction with one-third the car's speed hears a frequency of 427 Hz. What is speed of the car.
A soccer player 'heads' the size 5 ball deflecting it by 46.0°, and keeps its speed of 15.90 m/s constant. A size 5 ball has a mass of approximately 0.421 kg. What is the magnitude of the impulse which the player must impart to the ball.
Compute an inductance of the sensor for air gaps
Calculate charges, current, potential difference.
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