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For the pulley system shown, each of the cables at A and B is given a velocity of 2 m/s in the direction of the arrow. Determine the upward velocity v of the load m.
Consider a cold worked C11000 copper alloy rod 21 mm in diameter and 250 mm in length. Calculate (a) the maximum tensile load, in N, and (b) the maximum length, in mm, to which the rod may be stretched without plastic deformation.
A hydraulic transition 100 ft long is used to connect two rectangular channels, 12ft and 6ft wide. The design discharge is 500 cfs, mannining coefficient=.013 and the slopes of the channels are both .0009.
Consider a function z(x, y) and its partial derivative (∂z/∂y)x. Under what conditions is this partial derivative equal to the total derivative dz/dy?
A sailor is being rescued using a boatswain's chair that issuspended from a pulley that can roll freely on the support cableACB amd is pulled at a constant speed by cablle CD
Traffic signals were installed at an intersection involving two one-way streets. Suppose 75% of the vehicles will decelerate when they see the amber light, whereas 20% will accelerate and 5% are "indecisive" and simply continue with the same speed..
At the bottom, an opening allows water to drain out at a rate, in lbm/s, that is proportional to H(t), the instantaneous height of water in the barrel, in ft: rate of water leaving from bottom = 9*H(t) .
A 250 mm- diameter and 16 m-long timber pile is driven into a sandy soil where ?= 18 kN/m3 and ?' = 34 degree. Estimate the maximum load allowed on the pile with a safety factor of 2.5
At 9AM the flow past bridge 1 is 37.2 m^3/s. At the same instant the flow past bridge 2 is 26.9 m^3/s. At what rate is water being stored in the river between the two bridges at this instant
At the Omaha, Nebraska, dock, the minimum demand for casual workers during the 7 days of the week (starting on Monday) is 20, 14, 10, 15, 18, 10, and 12 workers.
From an aerial photograph, one observes that on a level section of a (multilane) highway, 25% of the vehicles are trucks, 75% are cars, and there are 50 vehicles per mile of highway. The trucks travel at 40 mph and the cars at 60 mph.
A gate valve is located at the end of the pipe. If the valve is closed suddenly, determine the maximum water hammer pressure that will develop in the pipeline. The water level in the reservoir is 98.4 ft above the outlet.
The posItIon of a particle along a straight line is given by s = (t 3 - 9t 2 + 1St) ft, where t is in seconds. Determine its maximum acceleration and maximum velocity during the time interval 0 :5: t :5: 10 s.
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