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A collar of mass m slides without friction along a circular track of radius R as shown in Figure P-5. Attached to the collar is a linear spring with spring constant K and unstretched length zero. The spring is attached at the fixed point A located a distance 2R from the center of the circle. Assuming no gravity and the initial conditions ?(t = 0) = ?0 and ? ?(t =0) = ? ? 0, determine
(a) the differential equation of motion for the col-lar in terms the angle ?
(b) the reaction force exerted by the track on the collar as a function of the angle ?
what are biosynthetic pathways in cells A) anabolic B) catabolic C) usually produce more atp than they consume D) release monmorsinto the cytoplasm
Design the ramp for the highest design speed (to the nearest 5 mph) without exceeding a minimum D of 8.0. (Assume the PC of the horizontal curve is at station 15+00, and the vertical curve PVIs are at the PC and PT of the horizontal curve). Maximu..
Determine the magnitude of which will cause the reaction at the bearing to be equal to zero. The bearings are in proper alignment and exert only force reactions on the rod. Set = 600 .
Given this 10-yr record of annual precipitation in inches (28,21,33,26,29,27,19,28,18,22), plot a rough precipitation frequency curve. Tabulate the data to be plotted and show the method of computation. (note: the frequency in percent of years is ..
A concrete mix with a 3-inch slump, w/c ratio of 0.50, and sand with a fineness modulus of 2.4 contains 1700 lb/yd^3 of coarse aggregate. Compute the required weight of coarse aggregate per cubic yard.
A Class I rural highway segment of 10 miles in level terrain has a base free-flow speed (BFFS) of 65 mph. The cross section has 12-ft lanes and 6-ft clear shoulders on both sides of the road.
The solid compound shaft, made of three di¤erent materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft.
For each of the horizons, provide a description of the soil characteristics and briefly describe the environment where you would expect to find the horizon?
Determine the support reaction of the beam.assume that a is pin ,b,c,and d are roller and two points are hinge
Calculate the depreciation using straight-line, double-declining-balance (DBB), and MACRS (current IRS regulation) methods; and tabulate the depreciation schedule.
If the final consolidation settlement is expected to be 1.0m, how much settlement has occurred when the time factor is 0.2 andwhen it is 0.7?
The town needs a total of 2 mgd. The capacity of well 1 is 5 million gallons per day, and that of well 2 is 10 mgd. Using calculus (hint: calculus with substitution), determine the optimal amount of water that will be drawn from each well
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