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A "swing ride" is shown in the figure. Calculate the necessary angular velocity for the swings to assume an angle θ = 35° with the vertical. Neglect the mass of the cables and treat the chair and person as one particle.
A river discharges at a rate of 500 cfs into a lake. The water is drawn from the lake at a rate of 200 cfs. The surface area of the lake is 60 acres (1 acre = 43, 560 ft2). What is the rate of water rise in the lake in one day
Suppose that the probabilities are , respectively , 0.6, 0.2, 0.1 and 0.1 that an income tax form will be filled out correctly , that it will contain an error favoring a taxpayer , that it will contain an error favoring the government
The acceleration of a particle is defined by the relation a= -0.7v where a is expressed in in/s2 and v in in/s. Knowing that t= o the velocity is 30in/s, determine 1.) the distance the particle will travel before coming to rest
A small truck is to be driven down a 4% grade at 70mi/hr. The coefficient of road adhesion is 0.95, and it is known that the baking efficiency is 80% when the truck is empty and decreases by one percentage point for every 100 lb of cargo added.
Motor M draws in the cable with an acceleration of 4 , measured relative to the 220 mine car. Determine the acceleration of the car. Neglect the mass of the pulleys.
The azimuth from station A of a link traverse to an azimuth mark is 212o 12' 36". The azimuth from the last station of the traverse to an azimuth mark is 192o 12' 15". Angles to the right are observed at each station
two wooden members of uniform rectangular cross section of sides a = 100 mm and b = 60 mm are joined by a simple glued joint as shown. knowing that the ultimate stress of the joint are 1.26 MPa in tension and 1.50 MPA in shear and that P= 6kN
The cord wrapped securely around the inner cylinder is fastened to point A.
Water is pumped from the tank 1 to tank 2 as shown below. The suction side pipe is nominal 5, schedule 40, 24 ft long, f = 0.018, and the discharge pipe is nominal 4, schedule 40, f = 0.019
If a certain watershed received 1,250 mm of rain during a year, stored 150 mm of water in its soil mantle, and lost 400 mm of water downstream, how much water (in mm) was lost to the atmosphere (mainly through plants)
The aluminum block has a rectangular cross section and is subjected to an axial compressive force of 8kip. If the 1.5-in side changed its length to 1.500132 in., Determine Poisson's ratio and the new length of the 2-in side.
Using estimates of rainfall, evaporation, and water consumption, the town engineer developed the following model of the water volume in the reservoir as a function of time
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