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1. A second-order differential equation x"+9x with initial conditions x(0) = 2 and x'(0) = 0
2. A first-order differential equation x' + 2x = e^-5t with no initial conditions ( x(0) = x'(0) = 0).
3. Given the differential equation x"+ 6x = f, where f(t) is the input function and x(t) is the response (output), find the transfer function X(s)/F(s).
consider steady flow of a constant property fluid in a long duct formed by two parallel planes. consider a point
The following suspension system has two support structures-a spring and a rubber pad. Vertical force F (N) acts on the moveable plate. The spring has a spring constant of k1 = 1000 N/m. The rubber pad has a spring constant of k2 = 20000 N/m. The rubb..
a circumferential fin of rectangular profile is constructed of a material having k 55 wm-oc and is installed on a tube
a 5 ft3 tank containing steam at 14.7 psia 1 quality is fitted with a relief valve. heat is transferred to the tank
Determine (a) the velocity of the air at the duct inlet and (b) the temperature of the air at the exit.
an ocean thermal energy conversion power plant generate 300 kw. determine the gpm of cold seawater to be pumped from
an office worker claims that a cup of cold coffee on his table warmed up to 80degc by picking up energy from the
air flows steadily through an adiabatic non-ideal turbine entering at 150 psia 900degf and 350 fts and leaving at 20
a high-pressure axial compressor for a jet engine rotates at 15000 rpm with an overall stagnation pressure ratio of
a dam in western north carolina takes a 30 m3 s flow of water from the nantahala river and diverts it to a turbine
horizontal stresses are estimated for a rock formation field in the gulf of mexico in depth of 5000 ft. as 6 ksi. it is
a 200-mm-long strip of metal is stretched in two steps first to 300mm and then to 400mm. show that the total true
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