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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?
Determine the wet-bulb temperature of the air. Express your answer in degrees Celsius to four significant figures.
The Knudsen number, Kn = Amfp/L, is a dimensionless parameter used to describe potential micro- or nanoscale effects. Derive an expression for the ratio of the thermal resistance due to molecule-surface collisions to the ther- mal resistance asso..
Air enters the compressor of an ideal cold air-standard Brayton cycle at 100 kPa, 300 K, with a mass flow rate of 6 kg/s. The compressor pressure ratio is 10, and the turbine inlet temperature is 1400 K. For k 5 1.4, calculate
Describe a possible method to estimate the activation energy of densification during liquid phase sintering.
Calculate the value of linear acceleration that will produce a relative displacement of 2.5 mm on the instrument. Calculate the value of ω1/ωn such that
What can you say about the output of the filter? That is, derive an equation describing the output as a function of time.
in a carnot cycle heat is supplied at 350degc and rejected at 27degc. the working fluid is water which while receiving
A ramjet is to propel an aircraft at Mach 3 at high altitude where the ambient pressure is 8.5Kpa and the ambient temperature Ta is 220 k. The turbine inlet temperature T is 2540 k.if all components of the engine are ideal - that is frictionless.
Determine the horizontal component of the force that the air jet exerts on the vane. Neglect the weight of the air and all friction.
There is a reference line located 1 cm downstream. Find an expression, as a function of y, for the amount of rotation (in radian) a fluid element will undergo when it travels a distance of 1 cm downstream.
a 60-kg woman holds a 9-kg package as she stands within an elevator which briefly accelerates upward at a rate of g4.
you have been assigned to investigate a traffic accident. the masses of car a and car b are 1400kg and 1000 kg
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