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1.Determine the required mass of block A so that when it is released from rest it moves the 5-kg block B a distance of .75m up along the smooth inclined plane in t=2s. Neglect the mass of the pulleys and cords.
2.For a 60 year record of precipitation intensities and durations, a 30 minute intensity of 2.50 inches/hour was equaled or exceeded a total of 85 times. All but 5 of the 60 years experienced one or more 30 minute intensities equaling or exceeding the 2.50 inches/hour value. Use the Weibull formula to determine the return period of this intensity using:
a) A partial series?
b) An annual series?
A 2000-ft vertical curve connects a +3% grade to a -5% grade. If the vertical tangents intersect at sta. 52 + 60.55 and elevation 877.62 ft, calculate the elevations at the VPC, VPT, high point, and sta. 54 + 00.
determine the components of the 800 lb force f along the oblique axes a and b. also, determine the projections of f onto the a and b axes
A typical propane tank that we use for barbeque initially contains a pressure of 10 psi. The pressure is low, so we take it to the local store to fill the tank with more propane. After filling,the pressure is 100 psi.
The total flow then moves to a point W on the traction drive two metres off the ground, and travels through a nine millimetre diameter conduit. Ignoring all friction and minor losses, determine the pressures at points H and W.
A steel I beam is supported by a pin at point A and a rocker at B, and a cable applies a 2000lb force. The beam is uniform and weighs 26 lb/ft. Determine the support reactions.
Suppose a watershed in Athens, Georgia has 25 acres pasture (CN=70) and 50 acres wooded (CN=55). Determine the excess rainfall (in inches) and runoff volume (cubic feet) assuming the design rainfall is 25-year, 24-hour.
A liquid has the peculiar property that its mass density increases linearly with depth according to the expression p = p_water (1+0.01d) where d is the depth below the liquid surface in meters.
Provide a reasonable design for a 99.4% efficient ESP treating 30,000 m^3/min of gas. The dust has a resistivity of 7.1 (10)^10 ohm-cm. Specify the total plate area, channel width, number and size of plates
A 1000 ft long steel pipe carries water from a reservoir with a water elevation at 826 ft. The pipe has a diameter of 12 in. with a wall thickness of .5 in. A gate valve at the downstream end is slowly closed during a half-mintue period
For turbulent flow in a circular pipe find r/r0 at the radial distance from the centerline where the mean velocity occurs
Determine the vertical deflection in inches at the midpoint, called point F, between points B and C. Use E=29,000 Ksi, I=800 inches^4, and A=6.0 inches^2 for all members. Use the Virtual Work Method.
A large company in the communication and publishing industry has quantified the relationship between the price of one of itsproducts and the demand for this product as Price = 150- 0.01 x Demand for an annual printing of this particular product.
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