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A particle P of mass m moves under the simple harmonic field F = -(mΩ2r)r^, where is a positive constant. Obtain the radial motion equation and show that all orbits of P are bounded. Initially P is at a point C, a distance c from O, when it is projected with speed c in a direction making an acute angle α with OC.
Find the equation satisfied by the apsidal distances. Given that the orbit of P is an ellipse with centre O, find the semi-major and semiminor axes of this ellipse.
a 5 ft3 tank containing steam at 14.7 psia 1 quality is fitted with a relief valve. heat is transferred to the tank
Neglect fringing at the air gaps and any leakage fields. N = 1,000 turns, i = 0.2 A, lg1 = 0.02 cm, and lg2 = 0.04 cm. Assume the reluctance of the magnetic core to be negligible.
A volume of 1.8 L of neon gas (monatomic) is at a pressure of 3.4 atmospheres and a temperature of 370 K. The atomic mass of neon is 20.2 g / mol. Calculate the mass of neon gas in SI units.
1. what are dynamic and kinematic viscosities?2. what is shear stress?3. what is the reynolds number and why is it
Calculate the optimum damping ratio and the frequency at which the damper is most effective at reducing the amplitude of vibration of the primary system.
a rubble masonry open chanel is being designed to carry 500 ft 3 s 14 m 3 s of water on a 0.0001 slope. using n 0.017
Find the equations of motion for a gyropendulum where the spinning rotor is a disk. Assume the rotor has fixed angular momentum h about its axis and has a transverse moment of inertia J . That is, treat the spinning mass not as a particle but as a..
Measurements indicate that boat A has twice the kinetic energy of boat B of the same mass. How fast is boat A traveling if boat B is moving at 30 knots? 1 knot = 1 nautical mile per hour; 1 nautical mile = 6,076 feet.
Why is the compressive stress so much higher than the tensile stress (at the same strain level) for the PTFE material? What material model can capture the stress difference?
The uniform beam AB of length L has built-in ends and carries a distributed load that varies with x, as shown in Fig. (a). Given L and w(x), write an algorithm that determines the bending moments at the two ends. Apply the algorithm to the beams s..
Consider a three-point moving-average discrete-time filter described by the difference equation y [ n ) = t{x[ n ) +x [ n - 1) +x [ n - 2]}
Internet peer-to-peer (P2P) networking involves sharing files and other resources directly with other computers via the Internet. While some content is legally exchanged via an Internet P2P network, some content (such as movies and music) is exchange..
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