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A pendulum consists of two 3.2-kg concentrated masses positioned as shown on a light but rigid bar. The pendulum is swinging through the vertical position with a clockwise angular velocity ω = 6 red/s when a 50-g bullet traveling with velocity υ = 300 m/s in the direction shown strikes the lower mass and becomes embedded in it. Calculate the angular velocity ω which the pendulum has immediately after impact and find the maximum angular deflection θ of the pendulum
Measurements of groundwater concentrations of silica (SiO2) in mg/L, were made at a sample of 12 wells in Birmingham. The sample mean concentration was 61.3 and the standard deviation was 5.2.
When loaded, the beam carries a 10-kN/m uniformly distributed load. Neglecting the weight of the cable, approximate the following: (a) The change in length of the cable when the beam is under load
given f(x) = -2x^6 - 1.5x^4 + 10x +2. use a root location technique to determine the maximum of this function. perform iterations until the approximate relative error falls below 5%.
The cart and its load combined weigh 500 lb. State any assumptions.
The pipe contains two 6 in steel elbows, two fully open gate valves, a fully open 90o angle valve, and a swing check valve. If the discharge end of the pipe is located 20 ft higher than the entrance, what is the pressure difference between the two..
Determine the percent error n in replacing the sine and the tangent of an angle by the value of the angle in radians for angle values 5 degrees, 10 degrees, and 20 degrees. Explain the qualitative difference between the sine and tangent results
A single-scoop ice cream cone is a composite body made from a single scoop of ice cream placed into a cone. Assume that the scoop of ice cream is a sphere with radius r=1.45in that is placed into a 4.00in tall cone.
A dam spillway is to be tested using kinematic similitude (Froude scaling) with a 1:20-scale model. The model flow has an average velocity of 0.7 m/s and a flow rate of 0.06 m3/s.
A homogeneous coarse sand deposit has a water table at 10 m depth. The water coefficient of permeability of the sand is found to vary significantly with height above the water table even though the sand deposit is homogeneous
Suppose that from the past experience a professor knows that the test score of a student taking his final examination is arandom variable with mean 70 and standarddeviation 85
A two-bed carbon adsorption system is to be designed to handle 8000 acfm of air containing 700 ppm of hexane. Laboratory studies indicate that carbon can adsorb 8lb hexane per 100 lb carbon under the conditions at which the system will be operated.
A gray silty clay (CL) is sampled from a depth of 12.5 feet. The "moist" soil was extruded ffrom a 6-inch high brass liner with an inside diameter of 2.83 inches and weighed 777 grams.
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