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Consider the system of Prob. 3/309 where the mass of the ball is m = 10 kg and and the length of the light rod is l = 0.8 m. The ball-rod assembly is free to rotate about a vertical axis through O. The carriage, rod, and ball are initially at rest with θ = 0 when the carriage is given a constant acceleration α0 = 3 m/s2Write an expression for the tension T in the rod as a function of θ and calculate T for the position θ = π/2.
A truck spils 1 gallon of benzene into an aquifer with an area= 50ft^2 Benzene has a solubility of 1750 ppm, and a specific gravity of 0.873. The aquifer ahs a porosity of 0.25, a hydraulic gradient of 0.004 and a hydraulic conductivity of 1000 gp..
A reservoir discharge into a 60-inch concrete pipe (rough surface) that discharges freely. what is the pressure in the pipe at point A consider friction, but neglect minor losses.
The symmetrical beam shown is made of a material for which the allowable stress is 40 MPa in tension and 100 MPa in compression. Locate its centroid. Calculate the centroidal moment of inertia that will resist the bending moment.
For a concrete column that is part of a braced frame, if the column is square, tied, 18 inches per side, 16 feet long, classify the column as slender or non slender
Two channel cross sections are proposed. Assume slope, cross sectional area, and surface type are constant for each channel. Which cross section option will provide the highest flow rate? Show calculations.
The centres of the piers in a bridge are 8.0m apart. The piers are each 0.8m wide. Water flow under the bridge with an upstream depth and velocity of 4.0m and 4.0m/s respectively. The pier has a drag coefficient Cd = 1.5.
Using EES (or other) software and the relations given in Table A-33, generate the one dimensional normal shock functions by varying the upstream Mach number from 1 to 10 in increments of 0.5 for air with k =1.4.
Reproduce the diagram of the beam shown in Figure, and indicate where you would add conceptual pins to convert this to a corresponding determinate beam to allow approximate analysis of the beam.
Briefly explain the difference between piezometer and tensiometer with respect to the working principle, special design consideration and limitation of the instrument.
A total of 13,610 kg/h of air at 1 atm abs pressure and 15.6C is to be heated by passing over a bank of tubes in which steam at 100C is condensing. The tubes are 12.7mm OD, 0.61 m long, and arranged in-line in a square pattern with Sp=Sn= 19.05mm.
The acceleration of a particle as it moves along a straight line isgiven by a = (2t-1)m/s2 where t is in seconds. If s =1mand v =2m/s when t =0 determine the particles velocity and positionwhen t = 6s. Also determine the total distance the particle t..
A metal block, placed on a rough surface, is attached to a spring and is given an initial displacement of 10 cm from its equilibrium position. It is found that the natural time period of motion is 1.0 s and that the amplitude reduces by 0.5 cm in ..
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