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Question: A line vortex of strength Γ is mechanically fixed at the point (l, 0) in space described by a Cartesian coordinate system. It is in an inviscid incompressible fluid at rest at infinity bounded by a plane wall coincident with the y-axis. Find the velocity in the fluid at the point (0, y), and determine the force that acts on the wall (per unit depth) if the pressure on the other side of the wall is the same as at infinity. Bearing in mind that this must be equal and opposite to the force acting on a unit length of the vortex, show that your result is consistent with the Kutta-Joukowski theorem. (U of L)
a 500 g steel rod 30 cm in length is pivoted about its center and rotated at 300 rpm.a what is the angular momentum?b
Choose a system. Construct work-energy bar graphs for this process, showing Initial Energy + Wout = Final energy. (Hint do not ignore the circular velocity of the orbiting electron).
A krypton laser produces a cylindrical red laser beam 2.0 in diameter with 5.0 of power. What is the light intensity on a wall 2.2 away from the laser
The force on a magnetic moment µz in a nonuniform magnetic field Bz is given by Fz = µz(dBz/dz). If a beam of silver atoms travels a horizontal distance of 1.00 m through such a field and each atom has a speed of 142 m/s, how strong must be the field..
The figure below shows a wire ring of radius a = 2.0 cm that is perpendicular to the general direction of a radially symmetric, diverging magnetic field. The magnetic field at the ring is everywhere of the same magnitude B = 3.4 mT, and its direct..
An automobile crankshaft transfers energy from the engine to the axle at the rate of 53.6 kW when rotating at a speed of 1250 rev/min. What torque does the crankshaft deliver?
An elevator with a mass of 1000 kg, including passengers, is ascending at constant speed. What is the power delivered by a motor for this ascend
suppose that 1.00 g of hydrogen is separated into electrons and protons. suppose also that the protons are placed at
when a click beetle is upside down on its back it jumps upward by suddenly arching its back transferring energy stored
Two railroad cars, each of mass 59000 kilogram, are traveling 85 km/h toward each other. They collide head-on and come to rest. Obtain how much thermal energy is produced in this collision
What will be the value of the inclined force, P, when the block is just on the point of sliding?
Evaluate the peak electric field inside a 645 W microwave oven under the simplifying approximation that the microwave propogatesas a plane wave through the oven's 740 cm2 cross-sectional area
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