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When a particle is dropped from rest relative to the surface of the earth at a latitude y, the initial apparent acceleration is the relative acceleration due to gravity grel. The absolute acceleration due to gravity g is directed toward the center of the earth. Derive an expression for grel in terms of g, R, ω, and y, where R is the radius of the earth treated as a sphere and ω is the constant angular velocity of the earth about the polar axis considered fixed. (Although axes x-y-z are attached to the earth and hence rotate, we may use Eq. 3/50 as long as the particle has no velocity relative to x-y-z).
A precast concrete wall section is temporarily held by two cables as shown. Knowing the tension in cable BD is 900 N, determine the moment about point O of the force dxerted by the cable at B. Next determine the perpendicular distance from O to cable..
A discharge of 2,200 ft^3/sec flows in a trapezoidal channel at a normal depth of 8.0 ft. The channel has a slope of 0.01, a 12-ft bottom width, and side slopes of 1:1 (H:V). Determine the manning coefficient of channel roughness
why the highest head of the water in the excavation is mathematically guaranteed to occur on the edge of the excavation. explain in mathematical and/or physical.
What is the length of a 2 degree increment along a (A) meridian and (B) parallel at 45N and 115W. Assume the radius of Earth is 6370 km.
For a circular concrete column in a building with a diameter of 12" and subjected to an axial load of 200 kips, determine the stress exerted on the x-section of that column. What type of stress would it be?
An elevator weigh 4000kg. When the upward tension in the supporting cable is 48000N what is the upward acceleration Starting from rest, how far does it rise in 3s
If D1 = 60 cm, D2, = 40 cm, D3 = 54 cm, L1 = 400 m, L2 = 450 m, and L3 = 750 m. Assume f = 0.0125 (3 riveted steel pipes). Determine the total flow if the system head loss is 60 m.
A projectile is fired with an initial velocity of 800 ft/s at a target B located 2000 feet above the gun A and at a horizontal distance of 12,000 feet. Neglecting air resistance, determine the value of the angle at which the projectile is fired.
Vehicles begin to arrive at a toll booth at eight vehicles per minute from 9 A.M. to 10 A.M. The booth opens at 9:10 A.M. and services at a rate of ten vehicles per minute until 9:40 A.M. From 9:40 A.M. until 10 A.M.
What superelevation rate would you recommend for a roadway with a design speed of 100 km/hr and a radius of curvature of 500 m? Assume f = 0.11.
What is the maximum column load in kips that could be placed on a 4-ft square temporary footing on a sand for which the standard resistance is about N=15 and the water table is at the surface? A factor of safety of 2 is to be maintained against be..
A person of dubious technical ability tells you that two of the direction angles for a particular vector are 30 and 40 degrees. If these direction angles are feasible, then determine the possible values for the remaning direction angle.
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