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1.Two forces are applied as shown to hook support. Knowing that the magnitude of P is 35 N, determine by trigonometry (a) the required angle a if the resultant R of the two forces applied to the support is to be horizontal, (b) the corresponding magnitude of R.
2.Diameters of small commercially available steel rods vary by sixteenths of an inch. Select the required commercial size of the rod required to support a tensile load of 35,000 lb if the tensile stress cannot exceed 20,000 psi.
A river with 400 ppm of salts (a conservative substance) and an upstream flow of 25 m^3/s receives an agricultural discharge of 5.0 m^3/s carrying 2000 mg/L of salts.
A $78,000 invtestment in machinery is proposed. It is anticipated that this investment will cause a reduction in net annual operating disbursements fo $16,300 a year for 12 years. The investement will be depreciated for income tax purposes
A 200lb homogeneous gate of 10ft width and 5ft length is hinged at point A and held in place by 12ft long brace as the bottom of the brace is moved to the right the water level remains at the top of the gate.
The coefficients of static and kinetic friction are 0.3 and 0.2, respectively, between each of the plates and between plate A and the ground. Determine the acceleration of each plate.
A hydroelectricity plant is supplied from a resevoir via a pipeline 2km long and 2.5m in diameter. The pipeline terminates at the downstream end at in a control valve. Determine the minimum surge tank size if the max allowable height
Given the stationing in meters as (4+56) for the PC of a horizontal curve of radius R=1200 meters and angle I=22°. The azimuth of the line PC to PI as AzPC-PI = 155° 30'. A point P is to be located on the curve at stationing of 7+00.
Calculate the approximate alkalinity (in mg/L as CaCO3) of a water containing 120 mg/L of bicarbonate ion and 15 mg/L of carbonate ion.
Assuming D/D/1 queuing, what will be the total vehicle delay?
The Washington Monument is 169 m tall. What is the stress in the lowermost rock if it is made of Georgia granite?
The flow out of a reservoir is 2 L/s. The reservoir surface is 5 m x 5 m. How fast is the reservoir surface dropping?
Compare the physical migration of workers during U.S. industrialization and present-day intellectual transition into a new type of workforce.
A 12%,$ 50,000 bond is offered for sale at $45,000. If bond interest is payable monthly and the bond matures in 20 years, what nominal and effective rates of return per year will the purchaser make on the investment
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