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Helical symmetry A particle moves in a conservative field whose potential energy V has helical symmetry. This means that V is invariant under the simultaneous operations (i) a rotation through any angle α about the axis Oz, and (ii) a translation cα in the z-direction. What conservation principle corresponds to this symmetry?
Air at 300 kPa, 63oC, and a velocity of 423 m/s enters an insulated duct of varying cross-sectional area. The air exits at 150 kPa, 88oC. At the inlet, the cross-sectional area is 6.57 cm2.
Two long copper rods of diameter D = 10 mm are soldered together end to end, with solder having a melt- ing point of 650°C. The rods are in air at 25°C with a convection coefficient of 10 W/m2 · K. What is the minimum power input needed to effect ..
A 2.64 kg copper part, initially at 400 K, is plunged into a tank containing 4 kg of liquid water, initially at 300 K. The copper part and water can be modeled as incompressible with specific heats of 0.385 kJ/kg. K and 4.2 kJ/kg.K, respectively. For..
However, the balancing is to be achieved by drilling holes in the webs of the gears at the diameters shown. Determine the size and location of the holes for dynamic balance.
Consider the classical adiabatic saturation process in which a stream of is mixed adiabatically and isobarically (T1)with a stream of liquid water in order (T2) to become a saturated air +water vapor mixture . Show that the adiabatic saturation tempe..
1. Each of the following exercises requires evaluating the quality of a two-phase liquid-vapor mixture: (a) The quality of a two-phase liquid-vapor mixture of H2O at 40°C with a specific volume of 10 m3/kg is
Calculate the fraction of H atoms in each of these states at a temperature of 100 K. he F = 1 state is the ground state and there are no other states with significant population.
Estimate the steady heat flux and the rate of condensation - When the plate is perfectly horizontal and filled to over- flowing with condensate.
The roof is supported by cables. If the cables exert FAB = 100N and FAC = 120N on the wall hook at A, determine the magnitude of the resultant force acting at A.
Find the differential equation governing the motion of the diver while she is in contact with the board. Neglect any rotational inertia and what is the peak de?ection of the diving board?
A force of 300 lbf is applied to the piston of a cylinder, compressing the gas within the cylinder. The piston has a radius on 15 in. If the local atmospheric pressure is 0.98 atm, what is the absolute pressure inside the cylinder in psi
A) Calculate the velocity in the tunnel test section. B) Compute the total pressure at the test section.
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