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A block having the mass m and the charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed in a uniform electric filed of magnitude E directed away from the spring. The block is released from rest when the spring is unstretched (at x=0). We wish to show that the ensuing motion of the block is simple harmonic. Call the initial configuration of the system that existing just as the block is released from rest. The final configuration is when the block momentarily comes to rest again. What is the value of x when the block comes to rest momentarily?
Determine the corresponding error in the computed discharge
A u-tube manometer is used to measure the pressure of a vessel under vacuum. Assume the manometer is open to atmospheric pressure (101.325 kPa) and the density of the fluid in the manometer is 12 g/cm3.
A 6-ft range pole is set over a station on which a sight is to be made with a the odolite. If the sight is made to the center of the rod 4-ft up from the ground, and the center of the top of the pole is out of plumb 0.12 feet in a direction normal..
Design a simply supported one-way reinforced concrete floor slab to span 10 ft and carry a service live load of 175 psf and a service dead load of 25 psf. Use fc' = 3000 psi and fy = 60,000 psi. Make the slab thickness to ½-in. increments.
Water is pumped from a reservoir whose surface elevation is 1390 ft to a second reservoir whose surface elevation is 1475 ft. The connecting pipeline is 4500 ft long and 12 in. in diameter.
Describe the equation for discharging a water tank. Use: H= 2m, A_s= 1m^2, density water= 1000kg/m^3, K = 1kg hr^-1 m^-1/2 Mass flow in = 0 and mass flow out given by, Mass flow out = K z^1/2.
Biomass is increasingly used as a fuel to produce power and heat. A sugarcane-? processing mill is powered by a biomass power plant with 140 MW of electricity and with 60 MW of heat in the form of steam for sugar extraction from the cane.
Influent sample collected from a wastewater treatment plant was analyzed for various solids concentrations. Results indicated concentrations of Total Volatile Solids (TVS)
An unconfined compression test was conducted on a compacted soil sample, 50 mm diameter by 100 mm long. The peak axial force recorded was 230 N and the sample shortened by 2 mm.
An engineer is to design a channel lined with planed wood to carry 2 m3/s of water on a given slope. The channel cross section can be either a 90 degree triangle or a square. Which would require less wood and by what percentage
Why is the ‘time value of money' important for the evaluation of engineering projects? Provide at least one practical example to support your view (max 2 pages)
Describe a dynamic programming algorithm to find an independent set of T such that the sum of numbers of nodes in the set is the largest among all possible independent sets of T.
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