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A force is specified by the vector F = [(10)i + (150)j + (-50)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes
The path of the airplane is described by the equation y=kx^2, where k=6 x 10^-4 m^-1. Provide the expression for the velocity and acceleration of the airplane when x=390m. Express the velocity in m/
It the mean annual runoff of a drainage basin of 10000 km^2 is 140 m^3/s, and the average annual precipitation is 105 cm, estimate the ET losses for the area in 1 year. What are your assumptions
The ultimate normal strength of the wood is ?ult = 1800 psi and the ultimate shear strength of the wood is fault = 800 psi. The width of the specimen under tension is b = 1.7 in, and the specimen is
If the resultant force of the two tugboats is 2.2kN , directed along the positive x axis, determine the required magnitude of force Fb. Determine the direction theta of force Fb
Determine the minimum force P to prevent a 30kg rod AB from sliding on a wall. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is Us=
What is the difference in the density and specific weight of air if pressure increases from 1 to 50 atmospheres if temperature is kept at 4 degrees Celsius
A rectangular blade weighing 0.02 lbf is kept in the surface of water (sigma=0.073 N/m) solely by surface tension forces. What is the minimum perimeter of that the blade must have so that this is po
A 420 kW pump delivers gasoline at a rate of 1.28 m^3/s through a horizontal pipe. The average roughness height is 0.005 cm. The total length of the pipe is 46 m. Calculate the pipe diameter.
To determine the original length of a slender rod given the normal strain and deformation experienced by the rod due to an applied axial load. rod AB is subjected to the loading of two blocks, each
While designing a shock absorbing bumper for a 5-Mg rail car, the spring used for the bumper follows a nonlinear relationship of F = ks2 where F is the force in Newtons and s is the compression dist
a wheel rolls to the right with an angular velocity of 2 rad/s while slowing down at a rate of 3 rad/s^2. knowing the wheel rolls without sliding and ignoring the effect of gravity determine the loc
A 12 foot W14 X 22 column with pinned ends is axially loaded. The max load it can carry is 34 ksi. Determine (a) Euler buckling stress, (b) Euler buckling load. (A = 6.49 in^2) (ry = 1.04 in) (Iy =
A hollow rectangular steel beam is 18 cm deep by 10 cm wide, outside dimensions. The walls are 2 cm in thickness. From the shear and moment diagram, the maximum vertical shear on the section is 180
The steel rails of a continuous, straight railroad track are each 60 ft long and are laid with spaces between their ends of 0.25 inches at 70 degrees F. At what temperature will the rails touch end
Examine at the development of technology over the last 10 years. How do you think we will be interacting with technology in 20 years time compared to now. Be imaginative.
A 30 feet column is braced at the mid-section to prevent premature failure. If the maximum load is 380 kips, select an appropriate W14 section, if any, to support the loading conditions.
An overhanging beam ABC is subjected to a couple MA at the free end (see figure). The lengths of the overhang and the main span are a and L, respectively. Determine the angle of rotation and deflect
If the normal stress is 2,500 psi, Poisson's ratio is 0.25 and Young's modulus is 10,000 ksi, calculate the normal strain.
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 Manni
A hydraulic jump occurs in an rectangular channel 2.3 m wide when the discharge is 2.5 m^3/s. If the upstream depth is 0.25 m calculate the depth downstream of the jump and the energy loss in the ju
A certain fluid at 15 psia is contained in a cylinder behind a frictionless piston. The initial volume of the fluid is 300 in^3. The fluid expands to a volume of 450 in^3 while the pressure increase
A wire is kept at ambient temperature while it is stretched by 200 mm by a force which rises from zero to 1.5 kN, the extension of the wire being directly proportional to the force applied. What is
The earth's interior comprises three principle regions: the Core (16.4% of the earth's total volume, density= 11.2 kg/L), the Mantle (82% fo the earth's total volume, density= 4.7 kg/L), and the cru
Water boils at room temperature of 25 degrees celsius when the pressure is 3.17 kPa (abs). Express this as a vaccum gage pressure (in mmHg) if atmospheric pressure is 101 kPa. Provide details of wor