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The circular disk of 200-mm radius has a mass of 25 kg with centroidal radius of gyration mm and has a concentric circular groove of 75-mm radius cut into it. A steady force T is applied at an angle θ to a cord wrapped around the groove as shown. If T = 30N, θ = 0, μs = 0.10, and μk = 0.08, determine the angular acceleration of the disk, the acceleration α of its mass center G, and the friction force F which the surface exerts on the disk.
A larger-diameter pipeline will cost $2.1 million installed, but its operating cost will be only $8000 per month. Which pipe size is more economical at an interest rate of 1% per month on the basis of an annual worth analysis
Determine the discharge of a trapezoidal concrete channel section with a bottom width of 4 ft and side slopes of 2:1. The depth of flow is 5 ft and the channel slope is 0.5%
It is desired to obtain dynamic similarity between 3 cfs of water(ρ = 1.94 slug/ft3, μ= 2.735 x 105Ibs/ft2) flowing in a pipe and oil 9s.g = 0.91, μ=12 x 105 ibs/ft2) flowing in a 12in diameterpipe at a velocity of 25 ft/s at 90 deg F. What size of p..
The James Rives flows in from the East at 320 m^3/min and joins the Jackson River flowing at 605 m^3/min just outside the town of Charlotte, NC. The concentration of BOD in the James River is 14 mg/L.
After compaction the void ratio is reduced to 0.60. Determine: (a) Dry and moist unit weights before and after compaction (b) Degree of saturation after compaction.
Two level sections of an east-west highway (G=0) are to be connected. Currently, the two sections of highway are separated by a 4000-ft (horizontal distance), 2% grade. The western most section of highway is the higher of the two and is at elevati..
What is the percentage error in the bulk unit weight if the soil is the percentage error in the bulk unit weight if the soil is 95% saturated but assumed to be 100% saturated?
A Class I rural highway segment of 10 miles in level terrain has a base free-flow speed (BFFS) of 65 mph. The cross section has 12-ft lanes and 6-ft clear shoulders on both sides of the road.
An aluminum tube AB is rigidly connected to a steel shaft BC at B. Determine the angle of twist at B and the maximum shear stress in both materials due to the torque applied at B.
A pump having the characteristics given ( N=2133.5 rpm, n=35.6 rps, D=37.1 cm) pumps water at 25 degree C from a reservoir at an elevation of 366 m to a reservoir at an elevation of 450 m through a 36 cm steel pipe
For a mixed liquor volatile suspended solids (MLVSS) of 1800 mg/L, what is the total return solids flow rate?
A floating platform is supported at each corner by a hollow sealed cylinder 1 m in diameter, the platform itself weighs 25kN in air and each cylinder weighs 1.2kN per meter of length.
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