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Larmor precession
A particle of mass m and charge e moves in the force field F(r) and the uniform magnetic field Bk, where k is a constant unit vector. Its equation of motion is then
m(dv/dt) = (eB/c)v X k + F(r)
in cgs Gaussian units. Show that the term (eB/c)v × k can be removed from the equation by viewing the motion from an appropriate rotating frame.
For the special case in which F(r) = -mω2 r, show that circular motions with two different frequencies are possible.
Consider a recalculating flow in the power cycle shown in the figure. The fluid flowing in 100 ft of smooth pipe have an average specific weight of 50 lbf/ft3 and average dynamic viscosity of 5×10-4 lbf.s/ft2. Head loss in the nuclear reactor is 75 f..
1. For the isentropic flow of an ideal gas with constant specific heat ratio k, the ratio of the temperature T* to the stagnation temperature To is T*/To 5 2/(k 1 1). Develop this relationship.
Linear antenna array. Linear antenna array. An array antenna is made of six identical elements, each a half-wavelength dipole, and is fed with identical currents, all in phase. Spacing of the elements is one-half wavelength. Assume the antennas ar..
The inner cylinder is rotated at 300 rpm, and the torque is measured to be 1.8 N . m. Determine the viscosity of the fluid.
The ambient conditions for the test were 20 deg. C (68 deg. F) and 1 bar. Calculate the bmep, the overall efficiency, and the air-fuel ration.
calculate the fugacity and fugacity coefficient of carbon dioxide at 100f and 200psia from the data
Consider two closely coiled helical springs, one made of steel, the other of copper, each 0.01m in wire diameter, one fitting with in the other. Each has an identical number of coils, n=20, and ends constrained to deflect the same amount.
An isolated system consists of a closed copper vessel of mass 0.1 kg, containing 1 kg of liquid water, each initially at 5°C, immersed in 20 kg of liquid water, initially at 20°C. The system is allowed to come to equilibrium. Determine the final temp..
how does the energy use for the typical family vehicle compare with that for the typical hot water heater? what are the
if the coefficient of static friction between the crate and ground is 0.3 determine the minimum coefficient of static
If it is desired to triple the rate of heat transfer from the bare hot surface, determine the number of fins that needs to be attached.
Then compute the required height of the cylinder to obtain the specified volume. Finally, evaluate the stability of the cylinder if it is placed in the fluid with its axis vertical.
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