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Find the response of systems governed by the following equation of motion for the initial conditions x(0)=1, xdot(0)=-1:
a. 2xdouble-dot +8xdot +16x=0
b. 3xdouble-dot +12xdot+9x=0
c. 2xdouble-dot+8xdot+8x=0
Determines if the member forces are in tension or compression (note that a negative number denotes compression and a position number denotes tension)
A uniform bar of length l and weight w is suspended symmetrically by two strings, set up the differential equation of motion for small angular oscillations of the bar about the vertical axis, and determine its period.
Design the number of teeth and depth of teeth need be chosen. Considerations include the turn angle for each stroke, the bearing stress on the teeth and pins and shear stress on the teeth.
A wind turbine has a rotor diameter of 60 m. The wind speed is 10 m/s. The power coefficient of the rotor is 0.48 and the efficiency of the drive train is 0.9. The air temperature is 15°C, the air pressure is 101 kPa and the density of the air is 1.2..
a gondola on a ski lift is supported by two bent arms as shown in fig. 3. each arm is offset by the distance b180 mm
To make strawberry jam, crushed strawberries and sugar are mixed in a 45:55 mass ratio, and the mixture is heated to evaporate water until the residue contains one-third water by mass. Calculate how many pounds of strawberries are needed to make a..
a double-acting duplex pump with 6.5 in liners 2.5 in rods and 18 in stokes was operated at 2000 psig and 20 cyclesmin
Consider the manometer attached to this pressure vessel as shown. If the manometer fluid is mercury (density=13,600 kgm3), and the height of the fluid (h) is 3.9 cm, then what is the absolute pressure (P) in the pressure vessel in kPa?
assume the depth of water in the pvc pipe that you are using for the fish tank reservoir is two inches. a. compute the
a titanium alloy with a modulus of elasticity of 16 x 106 psi is used to make a 1000 lb part for a manned space
consider a medium in which the heat conduction equation is given in its simplest form as 1r2 ddrr2dtdr 1a dtdt a. is
two streams of air are mixed in a steady state process. assume air is an ideal gas with a constant heat capacity cp72r
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