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Motion with 1/r3 central force A particle moves in a circle under the influence of an inverse cube law force. Show that the particle can also move with uniform radial velocity, either in or out. (This is an example of neutral stability. Any slight perturbation to the circular orbit will start the particle moving radially, and it will continue to move uniformly.) Find θ as a function of r for motion with uniform radial velocity v.
a commercial heat pump has energy in to the system at a rate of 60 kw from a thermal reservoir. ifnbspthe power input
A ball is dropped inside an evacuated tube so that there is no aerodynamic drag acting on the ball. At one point it is at a height of 2.5 m and is dropping at a speed of 1.0 m/s. What will be the height of the ball when its speed is 5.0 m/s? Take g= ..
Other observations by the Cassini probe have confirmed that Titan has a thick atmosphere of nitrogen and methane with a density of about 10 times that of the Earth's atmosphere. Is this finding completely consistent with Titan's position on the atmos..
a cold-air standard open brayton cycle operates with a compressor pressure ratio of 12. air enters the compressor at
imagine a thin cylinder of initial internal diameter do initial wall thickness to and initial fixed length fixed by two
The impact force of a water jet is measured on a plane or a curved surface - You must determine the relationship between volume flowrate and the impact force.
A beam of span 600mm has a load of 1 kg and deflects by 0.55mm its width is 25.4mm and depth is 6.7mm what is the elastic modulus of the material?
air enters a turbojet engine at 180 ms at a rate of 20 kgs and exits at 850 ms relative to the aircraft. what is the
for a pendulum in a gravity field with point mass m and length l from mass to the pivot derive the nonlinear equation
A stream consisting of two organic chemicals: 1) Benzene (C6H6) and 2) Toluene (C7H8), enters a separation column. The total mass flow rate of the stream is 10,000 lbm/hr (pounds/hour). The mass percent of benzene in the stream is 40%.
Steam enters an adiabatic turbine at 6 MPa, 600°C, and 80 m/s and leaves at 50 kPa, 100°C, and 140 m/s. If the power output of the turbine is 5 MW, determine (a) the reversible power output and (b) the second-law efficiency of the turbine. Assume t..
a sphere moves horizontally through still water at a speed of 11 fts. a short distance directly ahead of the sphere
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