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In an investigation of whiplash resulting from rearend collision, sudden rotation of the head is modeled by using a homogeneous solid sphere of mass m and radius r pivoted about a tangent axis (at the neck) to represent the head. If the axis at O is given a constant acceleration α with the head initially at rest, determine expressions for the initial angular acceleration of the head and its angular velocity ω as a function of the angle θ of rotation. Assume that the neck is relaxed so that no moment is applied to the head at O.
Determine the activated sludge aeration volume required to treat 2.64 mgd with a BOD of 120 mg/l based on the criteria of a maximum BOD loading of 40 lb/1000 ft cubed/day and a minimum aeration period of 5 hr.
The bar is 1m long and its weight, W, acts at its midpoint. The angle is a=30 degrees, and the the spring constant k= 100N/m. The spring in its current position is 1.52m long, and its unstretched length of 1.25 m occurs when the bar is vertical a=..
What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 5.5× 10-4 mm (2.165 ×10-5 in.) and a crack length of 3.5 ×10-2 mm (1.378 × 10-3in.)
A separate hopper-bottomed grit storage tank has a usable volume of 3 cubic yards. Compute the detention time in the aerated unit and the estimated length of time required to fill the storage tank with grit.
How many watts of power would it take to heat 1 L of water(weighing 1.0 kg) by 10 degrees Celsius n 1.0 h Assume no heat losses occur, so all of the energy expneded goes into heating the water.
Determine the cycle time for a single engine scraper rated at 21 cy heaped that is used to haul material from a pit to a fill 900 ft away under severe conditions.
a spherical pressure vessel has an outer diameter of 10 ft and a wall thickness of 0.5 in. knowing that for the steel used ?all= 12 ski, E= 29 x 10^6 psi, and v= 0.29, determine (a) the allowable gage pressure,
A stress orientation can always be found that maximizesnormal stresses and causes shear stresses to be zero.
A horizontal water jet impinges against a vertical flat plate at 25 ft/s and splashes off the sides in the vertical plane. If a horizontal force of 350 lbf is required to hold the plate against the water stream,
Assuming we are still in a world with only discrete investment choice, i.e., option A, option B, etc., describe a realistic investment problem where none of the environments discussed apply without some reframing.
Successive plus and minus sights taken on a downhil line of levels are listed below. the values represent the horizontal distances between the instrument and either the plus or minus sights.
Vehicles arrive at the booth at a rate of 4 vehicles per minute. The attendent opens the booth and improves the service rate over time following the function u(t)= 1.1 +0.3t, where u(t) is in vehicles per minute and t is in minutes.
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