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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
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
The sphygmomanometer is a device used to measure blood pressure. For a healthy person, the diastolic pressure is about 80mmHg (gage). Convert the pressure to mm of blood assuming the specific gravit
Water is contained in a pressurized tank to a level of z meters above the ground. the air pressure over the water surface (in the tank) is 135kPa (abs). Assume the water density is 1000 kg/m^3 and t
A vehicle of mass 2000 kg coasts along a horizontal track against a drag force Fd (in N) on the automobile given by the following Fd=kV^2 where k= 1.25 kg/m and V is the speed in m/s.
A compacted fill is being built with two sheep's-foot drum rollers, 5 ft wide, operating at 1.5 mi/hr. Four passes are required to obtain the 5-in. depth of compacted fill to meet the specifications
The suitcase has a mass of 15kg, and a constant friction of 15N opposes the motion. She starts with an initial speed of 0 and moves the suitcase a distance of 20m. Find the speed of the suitcase at
A 9 gram bullet is fired horizontally at a tree and is brought to a halt right before it exits the tree. the tree is 90cm thick and exerts a resistive force of 16000N on the bullet as it travels thr
a ball is thrown with a valocity of 30 m/s at an angle of 40 degrees above the horizontal from the top of a 100m tall building. what is balls velocity when it lands. (neglect air resistance in both c
A pile resists the tension developed by three stay cables for a major for a tent (membrane) structure. Assuming no bending is desired in the pile (no resultant horizontal componenet),
8 Forces of 10.0 N north, 20.0 N east, and 15.0 N south are simultaneously applied to a 4.00 kg mass as it rests on an air table. Determine the magnitude and direction of the object's acceleration.
The fluids do not mix and the atmospheric pressure is 1.01 x 105 N/m2. Determine the gauge pressure head and the absolute pressure head in metres of water at i depth of 6.6m below the free surface.
Determine the hydrostatic force on one side of a vertical clrcular gate of diameter 1.5m when its centre is immersed at a depth of 6m neto-w tne free surface of water in a reservoir.
Find the water depth just upstream of a 1.5 ft high broad-crested weir in a channel 6ft wide when the flow is 18 cfs