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A train of total mass equal to 500 Megagrams starts from rest and accelerates uniformly to a speed of 90 km/h in 50 s. After reaching this speed, the train travels with a constant velocity. The track is horizontal and axle friction and rolling resistance result in a total force of 15 kN in a direction opposite to the direction of motion. Determine the power required as a function of time
Explain CBR method of pavement design with one example.
A sample of natural glacial till was taken from below the groundwater table. The water content was found to be 52%. Estimate the wet density, dry density, buoyant density, porosity and void ratio. Clearly state any necessary assumptions.
for a laminar flow of a newtonian fluid in a tube of a circular cross section, show that the ratio of mean shear to the wall shear rate is 2/3
The probability density function, f(t), of the time in hours between storms during the summer in Miami is estimated as f(t) = .014e^(-.014t) if x > 0, f(t) = 0 if x is less than or equal to 0 where t is the time interval between storms in hours.
an insulated tank contains pressurized air at 2000 kPa and 30 degrees celcius. The air is allowed to escape to the atmosphere (P=95 kPa, T=30 degrees celcius) until flow ceases. Determine the final temperature in the tank.
Member ABC is composed of two sections. Section AB has an outside diameter of 60mm and inside diameter of 50mm, whereas section BC is solid. Find the maximum shear stress due to the 1.5kN·m torsional moment applied at B and the 2.0kN·m moment at C..
assume that the whole twisting moment is taken by the bone. If the humerus can withstand a shear stress Tmax=70.0 MPa, determine the maximum force the hand can apply without fracturing the humerus. The length of the forearm is 360 mm.
The development of complex algorithms that can mine mounds of data that have been collected from people and digital devices have led to the adoption of data mining by most businesses as a means of understanding their customers better than before
calculate the amplitude F0 of the sinusoidal excitation force that is necessary to produce a steady-state vibration with a velocity amplitude of 10 m/s at resonance. what is the corresponding amplitude of the acceleration
The torsional assembly consists of a solid bronze [G = 49 GPa] segment (1) with diameter d1 = 90 mm securely connected at flange B to solid stainless steel [G = 89 GPa] segments (2) and (3), with diameter d = 100 mm.
The spillway for a dam is 20 m wide and is designed to carry 125 m3/s at flood stage. A 1:15 ratio model is constructed to study the flow characteristics through the spillway. The effects of surface tension and viscosity can be neglected.
Runoff from a storm flows into a reservoir with a surface area of 20.0 ha at a constant rate. The reservoir level is observed to rise at 1 mm per minute when water is being released through the dam at a rate of 10 m3 per second.
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