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Do the first part of Problem 7.7 this time including the effects of two rigid cylinders, respectively of uniform mass per unit length ρ1 and ρ2 and polar moments of inertia of the cross section I1 and I2, placed at the ends z = 0 and z = L of the bar.
Problem 7.7:
Derive the differential equation and boundary conditions for the torsional oscillation of a bar in the absence of warping in terms of the rotation angle θ(z,t) and using the polar moment of inertia of the cross-vectors .
Also discuss under what conditions the effect of the geometric cross section of the bar will not be a factor in the solution.
Determine the periodic time of the motion, the maximum velocity and acceleration and (c) the velocity and acceleration when the body is 300 mm from its amplitude.
Steam at 75 kPa and 13 percent quality is contained in a spring-loaded piston-cylinder device, as shown in the figure, with an initial volume of 5.28 m^3. Steam is now heated until its volume is 13.20 m^3 and its pressure is 300 kPa. Determine the he..
each wheel of the motorcycle has mass mw 9 kg radius r 330 mm and moment of inertia i 0.8 kg-m2. the combined mass of
a stack gas flowing at 80 m3min at t 25 degree c and 1 atm contains approximately 75 n2 5 o2 8 h2o and 12 co2. a
A square array of 400 tubes, each of 8 mm diameter is to be used. The tube surface is maintained at 30oC. Calculate the heat transfer coefficient and the length of each tube.
A solution of cyclohexanone (4.0 mg/mL) in the solvent selected in part (b) exhibits a blank-corrected absorbance of 0.800 in a cell with a path length of 0.025 mm. What is the detection limit for this compound under these conditions if the noise ..
What mass differences can just be resolved at m values of 100, 500, 1500, 3000, and 5000 if the mass spectrometer has a resolution of
a freely moving piston holds in 10kg of water at a pressure 400kpa and volume 10m3. the water is cooled to 400c. find
a 1200 mwe pressurized water reactor pwr with an overall thermal efficiency of 30 is designed to supply saturated steam
calculate the cost per piece of a milling operation that is used to machine a pocket of 2x3x0.5 lxwxd. the material
What is the heat loss per unit surface area of the composite? Sketch the temperature distribution from the gas to the liquid.
Write a simple Matlab script to obtain the sample mean values with n = 4 for a total of 2000 sample combinations. A sampling combination from the population can be obtained by using: rand sample (population, 4, true). For each combination, the sample..
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