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The mass center of the unbalanced disk of weight W is located at G, which is a distance of R/2 from the center for the disk. In the equilibrium postition, the two springs attached to the rim of the disk are undeformed. Determine the natural circular frequency of the disk for small oscillations by the engergy method. Use the following data:
W=40 lb, R=2.2 ft, radius of gyration about G s=1.5 ft, k1= 30 lb/ft, k2=40 lb/ft
What is the velocity of an electron that falls through a magnetic field aligned electric potential of volts across an accelertion region that is 10 k long
During the rainy season in a tropical country, the probability of a day being dry is 0.10. A dry day is defined as one without significant rainfall. Assuming that the number of days until the next dry day is geometrically distributed.
A rigid tank contains 1 kg of H20 at 100 kPa, x=0.1. Given that the tank can withstand a maximum internal pressure of 2 MPa, determine (a)the maximum temperature to which the steam in the tank can be heated,
A vertical crest curve has an approach grade +6% and a departure grade -6%. The Vertical intersection point level is 125 m. It is proposed to use a curve 720 m long. Calculate the level at TPl.
You are the winner of a sweepstakes and given a choice of a one-time payment of $1,000,000 or a guaranteed $80,000 per year for 20 years. Assume that you will collect all 20 years regardless of health condition.
Groundwater moves through a sandstone porous media and is driven by a gradient of -0.05 directed at an angle of 60 degree counterclockwise from the x-axis.
A fine-bubble aeration basin has a flow of 21.5 mgd, an influent BOD of 180 mg/l, 31 mg/l of mmonia, and effluent of 10 mg/l. During the winter, the wastewater temperature of 14.8 degrees C does not nitrify.
Oil of a specific gravity of 0.75 is flowing through a 6-in pipe under a pressure of 15 psi. If the total energy relative to the datumplate is 8.0 ft below the center of the pipe is 58.6 ft, determine the flow rate of the oil.
After 5 seconds the force is continuous at the 50 N level. Determine the velocity of the cart at t=8 seconds and calculate t at which the cart velocity is zero.
a photograph is taken of a transverse wave travelling along a length of rope. at this instant the shape of the wave is
A simply supported steel 'I beam' is made of three 1"*8" plates with a mass of 898.4 lbmass each as shown in I beam form. Steel has a modulus of elasticity of 30*10^6 psi. The beam is allowed to deflect 1.05 inch.
The Golden Gate Bridge has a main span of 4200 ft, a sag of 470 ft, and a total static loading of 21,300 lb/linear foot. Calculate the max tension, min tension, and the total length of cable.
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