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The spool of tape shown and its frame assembly are pulled upward at a speed vA=100 mm/s. Knowing that end B of the tape is pulled downward witha velocity of 300 mm/s and that at the instant of the total thickness of the tape on the spool is 20 mm, determine (a) the instantaneous center of rotation of the spool, (b) the velocity of point D of the spool.
A 1.5m diameter barrel (concrete barrel, well-rounded entrance) that is 20 m long is installed on a slope of 2 percent. The design discharge is 9.5 m^3/s and the inlet will be submerged but not the outlet.
If the energy loss in the contraction is equal to \(V_1^{2}/2g\) where V1 is the average velocity upstream of the contraction, what is the depth of flow in the constriction. A lined rectangular concrete drainage channel is 10m wide and carries a..
The compound bar carries the axial forces P and 2P. Find the maximum allowable value of P if the working stresses are 40 ksi for steel and 20 ksi for aluminum, and the total elongation of the bar is not to exceed 0.2 in.
In a short section of a channel carrying a steady discharge of 36 m^3/s, the depth is seen to increase from 1.6 m to 1.75 m. The channel is rectangular, 20 m wide with a bedslope of 0.0002 and Manning n of 0.014.
at the bottom of a loop in the vertical plane an airplane has a horizontal velocity of 315 mi/h and is speeding up at a rate of of 10ft/s^2. The radius of curvature of the loop is 1mi. The plane is being tracked by radar at O.
a simple random sample of 20 items from a normal population resulted in a sample mean of 17.25 and a sample standard devation of 3.3 a. develop a 90% confidence interval for the population mean. b. develop a 95% confidence interval for the populatio..
If the pipe is designed with a safety factor of two [i.e. the maximum stress in the field must be less than half the rated yield stress], what is the maximum depth that can be safely reached for drilling.
a belt sander is being brought up to operating speed at the instant of the belt is rotating in the clockwise direction ar 4 ft/s and acceleration at 40 ft/s. the tensioning cylinders A and B have a radius of 2.5 in.
A two-phase liquid-vapor mixture of water is initially at a pressure of 10 bars. If on heating at fixed volume, the critical point is attained, determine the quality of the initial state.
The pollutant has a reaction rate coeeficient k of 0.25/day. Assuming is pollutant is well mixed in the lake, find the steady-state concentration of pollutant in the lake.
Testing has already been completed on the water and the Usage Rate for the carbon is 0.4 pounds of carbon per 1000 gallons of water treated. The required EBCT is 20 minutes and the carbon longevity must be at least 6 months.
Ignoring both axial and shear deformations and using the unit force method, calculate the vertical displacement of joint B.
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