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A body moving in an inverse square attractive field traverses an elliptical orbit with eccentricity e and major axis 2a. Show that the time average of the distance r of the body from the centre of force is a(1 + ½ e2).
[Transform the time integral to an integral with respect to the eccentric angle ψ.]
A hole is to be drilled in the plate at A. The diameters of the bits available to drill the hole range from 1/2 to 11/2 in. in 1/4-in. increments. If the allowable stress in the plate is 21 ksi
Cola, approximated as pure water at 20°C, is to fill an 8-oz container (1 U.S. gal =128 fl oz) through a 5-mmdiameter tube. Estimate the minimum filling time if the tube flow is to remain laminar. For what cola (water) temperature would this minim..
Stone Mountain near Atlanta, GA has a sky ride which a gondola is suspended from a cable that takes people to the top of Stone Mountain as well as back down. [MO4, MO5, MO6]. Using the First Law of Thermodynamics, what would be the most efficient way..
A thin elastic wire is placed between rigid supports. A fluid flows past the wire, and it is desired to study the static deflection, δ, at the center of the wire due to the fluid drag.
r-134a vapor enters an adiabatic turbine at 250 psia and 175 f. the temperature at the outlet is 20 f. determine the
multi-stage flash distillation is used to desalinate seawater so it is fit for human consumption. a flash distillation
an electrically driven pump operating at steady state is used to draw water from a pond. at the pump inlet the pressure
consider flow of water over a flat plate of length 5 m. on one graph plot the both the drag caused by shear stress and
a rigid tank having a volume of 0.1 m3 initially contains water as a two-phase liquid-vapor mixture at 1 bar and a
A table shows values of a force function f(x), where x is measured in meters and f(x)in newtons. Use Simpson's Rule to estimate the work dome by the force in moving an object a distance of 18m
When the latch operates, the end deflects an additional 0.15 in. Would you expect eventual fatigue failure?
3 kg of refrigerant 22 undergoes a process for which the pressure-specific volume relation is pv^-0.8 = constant. The initial state of the refrigerant is 12 bar and 60 degrees C. The final pressure is 8 bar. Kinetic and potential energy effects are n..
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