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1. Derive Laplace's equation for polar coordinates.
2. Find the conjugate harmonic function associated with u(r,θ) = ln r. Sketch some constant u and v lines.
a rigid container with volume 200 l is divided into two equal volumes by a partition. both sides contain nitrogen one
a solid circular shaft and a tubular shaft both with the same outer radius of cc0 0.600 are being considered for a
System of force and cable tensions is in equilibrium and what are the necessary conditions for static equilibrium and determine the area moment of inertia about Ox for the area shown under the curve
find the best fit Gaussian Curve through the data and plot the data and curve on the same graph.
Develop a computer program for the Gear Transmission Systems with consideration that each gear designer will have a different view as to what the most important design factors are.
steam powerplant produces 200 mw power. saturated steam exits boiler at 3mpa pressure. turbine exits 10kpa pressure.
Nitrogen in a piston-cylinder assembly undergoes a polytropic expansion process. Initially, nitrogen is at 125 C and 144 kPa. Then it is expanded to a state of 102 kPa and 90 C. determine the heat transfer and work for the process considering no chan..
A roller coaster and its occupant’s have a combined mass of 800 kg. At a height of 70 m, the roller coaster has approximately zero speed. At the bottom, at maximum speed, a piston/cylinder apparatus is compressed adiabatically in order to bring the r..
Calculate pressure on side bars, thrust in the connecting rod and tangential force on the crank pin and (iv) turning moment on the crank shaft.
The lengths of the cab les are such that AB is vertical, BD is horizontal, BC is inclined by a small angle β to the vertical, and DE is inclined by a small angle f3 to the horizontal. The effective cross-sectional area of the cable is denoted Ac.
The rolling texture of most hcp metals can be roughly described by an alignment of the c-axis with the rolling plane normal. Zinc is an exception. The c-axis tends to be rotated as much as 80? from the rolling plane normal toward the rolling directio..
Determine the corresponding normal force N between the two boards if motion impends at all surfaces and determine the minimum coefficient of static friction
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