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An overdamped harmonic oscillator satisfies the equation
x·· + 10x· + 16x =0.
At time t = 0 the particle is projected from the point x = 1 towards the origin with speed u. Find x in the subsequent motion. Show that the particle will reach the origin at some later time t if
(u-2)/(u-8) = e6t.
How large must u be so that the particle will pass through the origin?
The data listed below are claimed for a power cycle operating between hot and cold reservoirs at 1500 K and 450 K, respectively. For each case, determine whether the cycle operates reversibly, operates irreversibly, or is impossible.
1. (a) Write the possible oxidation and reduction half-reactions that occur when magnesium is immersed in each of the following solutions: (i) HCl, (ii) an HCl solution containing dissolved oxygen, (iii) an HCl solution containing dissolved oxygen..
a rankine power cycle uses 10.0 lbms of water witha high pressure of 100 psia low pressure of 1 psi.water enters the
Air at 250 kPA and 15C is being forced into a tire, which has a volume of 0.5m^3, at a velocity of 60 m/s through a 6 mm opening. Find the rate of change of the density in the tire.
Water enters a 10-cm diameter pipe at a uniform velocity V, it leaves the pipe at a non-uniform velocity of u= 10(1 - r^2/0.01) m/s, where r is in meters. Using the equation derived in class (10-2-14) find the magnitude of V and the mass flow rate of..
a well insulated turbine operating at steady state develops 28mw for a system with flow rate of 50 kgs. the superheated
You are a thermal design engineer and plan to design cooling solution for computer chip. As a basic design, a chip (kc = 50 W/m-K) is mounted in a dielectric substrate (ks = 5.0 W/m-K) and one surface of the system is convectively cooled, while the r..
Determine the magnitude of the principal strains and their orientation with respect to the 0° gage. Check the results with a Mohr circle.
a gas power cycle compresses air at 1 bar and 300 k state 1 through an adiabatic reversible compressor to 6 bar state
an air pressure is to be measured relative to atmosphere using an inclined manometer with a resolution of 1 mm and a
Determine the flow distribution for the 14-pipe water supply system shown in Fig. P11.41. The characteristic curve for the pump is represented by the following data (courtesy of D. Wood):
an insulated piston-cylinder device contains 0.05m3 of saturated refrigerant-134a vapor at 0.8mpa pressure. the
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