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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
Determine the compressive strengths of the following: A) A 6-in. diameter concrete cylinder that failed at ta test load of 135,000 B) A-3-in. diameter specimen that failed at a test load of 30,000
over the range of cylindrical parts manufactured on a computer-controlled lathe, the standard deviation of the diameters is 0.002 millimeter/ (a) what does Chebyshe's theorem tell us about the probability
develop the relation between bulk unit weight, specific gravity, void ratio and weight of water.
Determine the differential settlement between the centre line of the ring beam and under the centre of beam. The inner and outer radii of the ring beam are 8m and 12m respectively.
A gas is compressed at a constant pressure of 0.800 atm from 9.00L tp 2.00L. in the process, 400J of energy leave the gas by heat. (a) What is the work done on the gas? (b) What is the change in it internal energy?
Knowing a .02 in gap exists when the temperature is 75 degrees F, determine(a) the temperature at which the normal stress in the aluminum bar will be equal to -11ksi, (b) the corresponding exact length of the aluminum bar.
What is the concentration of tracer in the reactor 1 h after tracer addition is terminated? The reactor had an initial concentration of tracer of 1.0 mg/L when tracer addition commenced.
Assuming we are still in a world with only discrete investment choice, i.e., option A, option B, etc., describe a realistic investment problem where none of the environments discussed apply without some reframing.
From an aerial photograph, one observes that on a level section of a (multilane) highway, 25% of the vehicles are trucks, 75% are cars, and there are 50 vehicles per mile of highway. The trucks travel at 40 mph and the cars at 60 mph.
a gate of 10 ft width and 5 ft long is hinged at point a and held in place by 12 ft long brace as shown in fig. as the
Soil have a void ratio of 0.68 as it exists in a borrow pit is to be excavated and transported to a fill site where it will be compacted to a void ratio of 0.45. The volume of fill required is 2500 m^3.
Water under a gage pressure of 65 psi flows with a velocity of 12.5fps through a right-angled bend that has a uniform diameter of10in. The bend lies in a horizontal plane
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