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1.A train starts from rest at station A and accelerates at 0.5m/s^2 for 60s. Afterwards it travels with a constant velocity for 25min. It then decelerates at 1 m/s^2 until it is brought to rest at station B. Determine the distance between the stations
2.A particle travels along a straight line with a velocity of v=(20-0.05s^2) m/s, where s is in meters. Determine the acceleration of the particle at s=15m
3.Using the Newton-Raphson Method, find the root of the polynomial f(x) = x3 – 12. Use 3.0 as an initial estimate of the root. Continue to do iterations until ?pi – pi-1? is less than 0.1. Show your calculations
4.calculate the gravitational force between the earth and the moon in newtons. the distance between the earth and the moon is 384x10^3?
Two small liquid-propellant rocket motors are mounted at the tips of a helicopter rotor to augment power under emergency conditions. The diameter of the helicopter rotor is 7m, and it rotates at 1 rev/s.
Box 1 weighs 284.49N Box 2 weighs 421.83N. The angle between box 2 and the ramp is 37deg. Find the minimum angle for alpha that allows the boxes to remain stationary.
Water under a gage pressure of 350kPa flows with a velocity of 5 m/s through a right-angled bend that has a uniform diameter of 250 mm
Two rectangular primary sedimentation tanks each 27 m long, 5 m wide and 3.8m deep treat 6000 m3/day wastewater from a community. Total effluent weir length is 50m (both tanks).
A 1400-ft-long sag vertical curve (equal tangent)has a PVC at station 115 + 00 and elevation 750 ft. The initial grade is -3.5% and the final grade is +6.5%. Determine the elevation and stationing of the low point, PVI, and PVT
The actual weight of the Rectangular Aluminum Beam (used in Task 3) is 25 grams, while the actual weight of the Square Aluminum Box Beam is only 5 grams.
A cylindrical rod of 1040 steel originally 15.2 mm (0.60 in.) in diameter is to be cold worked by drawing; the circular cross section will be maintained during deformation
Determine the factor of safety for a 9 foot long hollow steel column 3.5 inches on a side that has a wall thickness of 0.225 inches and is loaded with a 22 kip load.
The difference in water level is 60ft. Determine the size of pipe for a water temperature of 60 degrees Fahrenheit. Apply The Darcy-Weisbach equation.
A circular footing of diameter B is expected to carry a column load with some eccentricity. The moment of inertia of the footing about its diameter is piB^4/64. What would be the maximum eccentricity
The town of Camp Verde has been directed to upgrade its primary WWTP to a second plant that can meet an effluent standard of 25 mg/L BOD5 and 30 mg/L suspended solids.
Determine the force members BC, FC, and FE, and state if the members are in tension or compression.
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