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Consider the rocket on a test stand . The nose of the rocket is fixed. The rocket is of length L, constant EA and constant m, mass per unit length. To investigate longitudinal dynamics, the rocket is modeled using axial elements of equal length.
Determine the natural frequencies and the natural modes using a model with nine elements of equal length. Compare the results with those for the three-element model given in the lecture notes as well as the exact solution. Comment on the accuracy of the natural frequencies and the natural modes as the number of elements increases.
Note: For convenience, introduce
p=((w^2)*(mL^2))/EA
Steam at 800 kPa and 300 C is bled off from a large supply line, passed through a valve, and allowed to enter an initially evacuated, uninsulated tank with a volume of 0.3 m3.
Precipitation station X was inoperative for part of a month during which a storm occurred. The respective storm at the three surrounding stations A,B and C were 98,80 and 110mm
A field sample of medium sand with median grain size of 0.84 mm will be tested to determine the hydraulic conductivity using a constant-head permeameter. The sample has the length of 30 cm and a diameter of 5 cm.
Determine the reactions on the beam. The support at B can beassumed to be a roller.
The width of the river is 10 ft, the depth is 1 ft, longitudinal slope of 0.001, and the Manning's coefficients is 0.03. To estimate travel times and dispersion coefficients, you injected 50 gm of rhodamine dye at one bank of the river
Consider a cylindrical nickel wire 2.0 mm in diameter and 3 x 10^4 mm long. Calculate its elongation when a load of 300 N is applied. Assume that the deformation is totally elastic.
The pipe assembly is secured on the wall by the two brackets. If the flower pot has a weight of 50lb, determine the magnitude of the moment produced about the x, y and z axes.
A 2005 Chrysler Town and Country MInivan has a frontal area of 2.9m2 and a drag coefficient of 0.35. A 2000 Honda Insight has a frontal area of 1.9m2 and a drag coefficient of 0.25.
A large pipeline with a 1.200 meter inside diameter carries oil similar to SAE 10 at 110 degrees celcius (sg=0.8). Compute the volume flow rate required to produce a Reynolds number of 3.60 x 10 ^4.
The following data were obtained for a plate-and-frame filter of total area A=500 sq cm. operating under a constant pressuredrop of 0.1 atm: Time t (min): 50 75 100 Volume of filtrate V (liter): 9.7 12.3 14.0 The filtrate is essentially water.
The width of a lake is 16 km (it is a flat plane tangent to the radius of the sphere). How far does a horizontal plane depart from a level surface if the earth is a sphere with r=6371km
A rectangular beam, simply supported over a span of 4m, is carryinga uniform distributed load of 5kN/m and a concentrated load of 5kNat the center of the beam.
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