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The 81-lb uniform square plate is supported by a ball-and-socket joint at O, a cable at E, a fixture at A which can support vertical force only, and a linear spring at C. If the unstretched length of the spring is 4 in., determine the spring constant k required for equilibrium in the position.
At the proportional limit, . gage length of a -diameter alloy rod has elongated . and the diameter has been reduced . The total tension force on the rod was . Determine the following properties of the material
The four approach volumes per day at this intersection are 28,648, 23,856, 12,150, and 10,174. The crash totals for the last 3 years are 91, 96, and 87. What is the annual crash rate for this intersection
If a watershed of drainage area 100 mi^2 has abstractions of 2.5 in/hr, what runoff volume will show up in the nearby stream in addition to baseflow for a rainfall of 5-hr duration with an intensity of 4 in/hr
A balloon is being inflated at the rate of 15m^3/min. At what rate is the diameter increasing after 5 min? Assume that the diameter is zero at time zero.
The ball at A is kicked such that theta=30 degrees. If it strikes the ground at B having coordinates x=15 ft, y= -9ft, determine the speed at which it is kicked and the speed at which it strikes the ground.
A compacted fill is being built with two sheep's-foot drum rollers, 5 ft wide, operating at 1.5 mi/hr. Four passes are required to obtain the 5-in. depth of compacted fill to meet the specifications density.
suppose there are 10 pieces of paper in a hat. Each piece of paper has a digit 1 through 10 written on it. Each number is written only once. You reach in the hat and select a piece of paper. What is the probability that the paper has either a 3 or..
The salt water mixes thoroughly with the fresh water and the mixture overflows out of the tank. If the flow rate out of the tank is 60 liters/minute. Assume freshwater is 1000 kg/m^3, and the salty water is 1020 kg/m^3.
The air above the liquid is under a pressure of 5 psig, and the specific gravity of the liquid in the tank is 0.80. If the rectangular gate is 6 ft wide and if y1 = 1 ft and y2 = 10 ft, what force P is required to hold the gate in place
Helium enters an adiabatic steady-state nozzle at 200kPa and 124 degrees Celsius and 10m/s. At the nozzle exit the temperature of the helium is 100 degrees Celsius and the pressure = 150 kPa.
If the tanker truck discharges into the top of the tank with no vapor control, the emission of gasoline vapors is estimated to be 2.75k*m^-3 of gas delivered to the tank.
Derive an equation for the reaction force (Rx) associated with conservation of momentum in a straight length of pipe of uniform diameter. Approximate the velocity as steady and uniform at each cross-section, and the fluid as constant density.
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