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1. If θ = 60° and F = 450 N, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis.
2. If in the previous problem, the magnitude of the resultant force is to be 500 N, directed along the positivey axis, determine the magnitude of force F and its direction θ.
a cantilevered bean has a lenght of L, a cross section area of A, and a flecural rigidity of EI. The free end is free to rotate and displace due to bending. derive the stiffnes of the cantilevered bean. Assume small deformations.
Find the magnitude and depth of the point of application of the force on the circular gate shown (circular gate at an angle of 60 deg.) if h(distance from top of gate to top of water)=5ft. and D(length of the gate)=4 ft.
An automobile having a mass of 900 kg initially moves along a level highway at 100 km/hr relative to the highway. It then climbs a hill whose crest is 50m above the level highway and parks at a rest area located there.
A calibrated utility function for travel in a city by three modes (car, bus, and light rail) is where X is the cost of travel (cents) and Y is the travel time in minutes. Use logit model to calculate the modal split (in percentage) for the given valu..
A rectangular channel of 20 f t width and having n = 0:017 carries flow of 800 f t^3/s. Calculate (a) critical depth (b) the minimum speci c energy (c) the speci c energy when depth of flow is 7 f t.
Clearly stating your assumptions, what is the average daily water supply required by the community?
A car travels along a circular path such that its speed is increased by a_t=0.5e^t(m/s^2) ,where t is in seconds. The radius of curvature of the path is 30m. Determine the magnitude of its velocity after the car has traveled s = 18m starting from r..
The gases are expanded to 140 kPa with a reversible adiabatic process. Calculate the work done by the gases, assuming they can be approximated by air with constant specific heats.
An inventor claims that an engine produces 120 kw with a fuel consumption of 20 kg/h. The energy content of the fuel is 36,00 kJ/kg. The energy is received at a mean temperature of 500C and rejected at a mean temo of 50 C.
Determine the magnitude of P if 10sec is required for the package to travel 5 m up the incline. The static and kinetic coefficients of friction between the package and the incline are both equal to 0.3
Select an appropriate motor-pump unit for this job and Identify three manufacturers with product model numbers and prices. Make a selection and explain why you selected that particular product.
Coal has about 5% sulfur. How many pounds of sulphur would be emitted from coal-fired power plants in the united states in 3 years? (each year. U.S electricity production in about 0.28 x 1012 watts, and coal has an energy content of about 30 x 106 J/..
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