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Orbits in general relativity :
In the theory of general relativity, the path equation for a planet moving in the gravitational field of the Sun is, in the standard notation,
(d2u/dθ2) + u = (MG/L2) + (3MG/c2)u2,
where c is the speed of light. Find an approximation to the ‘annual' advance of the perihelion of a planet moving in a nearly circular orbit of radius a.
an ideal rankine cycle with an open-feedwater-heater regenerator operates the boiler at 3 mpa the regenerator at 125
the exhaust nozzle of a jet engine expands air at 300kpa and 200oc adiabatically to 100kpa. determine the air velocity
Find the horizontal and vertical components of thrust which must be produced in order to hold the vehicle in the position shown. The vehicle itself is neutrally buoyant.
Describe the basics of the Carnot cycle of thermodynamics and it’s application to heat engines such as Diesel Engines and Gas Turbines. Describe the hot and cold sources in these prime movers
Water is contained in a 0.2 m3 vessel at 200 C. The mass of water in the vessel is measured to be 2 kg. Determine (a) the pressure in the vessel, (b) the enthalpy, h, of the water in kJ/kg, (c) the mass and volume of vapor in the vessel.
the refrigerant r-22 is used as the working fluid in a conventional heat pump cycle. saturated vapor enters the
hydrogen gas at 35ordmc and unknown pressure state 1 enters a steady insulated system which has no work interaction
determine the steady-state solution for the following differential equations. if resonance exists for the equations
consider an oblique shock wave with a wave angle of 30 degree. the upstream flow mach number is 2.4 calculate the
an insulated vessel has an evacuated compartment v 100 l separated from a second compartment v 100 l which contains
Suppose it is impossible to use an extensometer on the gauge section of a test specimen. Instead a butt-end specimen (Figure 3.2c) is used and the strain is computed from the cross-head movement.
water in a piston-cylinder assembly initially at a temperature of 100oc and a quality of 65 is heated at constant
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