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A 780-g mass is attached to a vertical spring and lowered slowly until the mass rests at its equilibrium position 30 cm below the original length of the spring. It is then set into simple harmonic motion of amplitude 5 cm.
(a) What is the frequency and period of the oscillation?
(b) What is the maximum velocity of the oscillating mass? Where does the maximum velocity occur?
(c) What is the maximum acceleration of the oscillating mass? Where does the maximum acceleration occur?
(d) Draw a diagram showing how the total energy of the oscillating system changes with time.
Wastewater flow is 80 gpcd with 170 mg/l BOD and 190 mg/l suspended solids. Size the extended aeration basin and clarifier using the minimum detention time and overflow rates. Calculate the average F/M using an MLSS of 1000 mg/l.
Cities cover approximately 0.5% of the Earth's land area, which itself constitutes 29% of the total surface of the planet. What is the probability that the second explosion in part (b) occurs over a city? Assume an equally likely probability of im..
the car weighs 2450 lb, the mechanical efficiency of the drivetrain is 90% and the wheel radius is 14 inches. the base engine develops 200 ft-lb of torque, and a modified version of the engine develops 240 ft-lb of torque.
Assume the microorganisms are 55 percent efficient at converting food to biomass, the organisms have a first-order death rate constant of 0.05/day, and the microbes reach half of their maximum growth rate when the BOD5 concentration is 10 mg/L
The weights on the same axles when the truck is empty and leaving the power plant are 10 kips, 12 kips, and 8 kips, respectively. A two lane road is to be designed to serve the power plant and to last for a period of 10 years. a) What is the equiv..
Two parallel plates, one moving at 4m/s and the other fixed, are seperated by a 5mm thick layer of oil of specific gravity 0.80 and kinematic viscocity 1.25 X 10^-4 m2/s.
The coefficient of kinetic friction between block A and the inclined plane is mu_k = 0.11 . The angle of the inclined plane is given by theta = 45. Neglect the weight of the rope and pulley. Part A - Normal Force Acting on Block A Determine the ma..
Given the EPA acceptable risk level of 1 cancer in a million, what is the maximum concentration of TCE you can tolerate at the dry cleaning facility and keep your incremental cancer risk below the acceptable risk
1. What is meant by the "base value" in an arithmetic gradient 2. Which two alternative comparison techniques requier equal service lives Why
A well of radius 0.4 ft produces water from an unconfined aquifer with K = 12 ft/day. The well is located 850 ft from a large water body that acts as a constant head boundary.
The pins on the frame at B and C each have a diameter of 0.25 in. If these pins are subjected to double shear, determine the average shear stress in each pin.
a hydraulic jump is to be formed in a trapezoidal channel with a base width of 20ft and a side slope of 2:1. The upstream depth is 1.25ft and Q=1000 cfs. Find the downstream depth and the head loss in the jump.
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