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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.
A sample of argillaceous soil with a volume of 1x10-3 m3 and a mass of 1.762 kg, after oven dried, has a mass of 1.368 kg. The relative density of the grains is equal to 2.69. Determine, for the sample in its original condition
design a horizontal curve for a two-lane road. The road has 12-ft. lanes. Due to expansive excavation, it is determined that a maximum of 34 ft. can be cleared from the road's centerline toward the inside lane to provide for stopping sight distanc..
Assume that the sludge does not change density during filtration and that liquid removed from the sludge contains no sludge. Using mass-balance method. determine the volume of sludge after filtration.
Find the minimum flow rate of air and the heat exchanger second-law efficiency.
The cars have equal mass. Car A is suddenly given velocity 4 m/s and the rope becomes taut. We know that 40 percent of the system's kinetic energy is lost during the rope tensioning.
A chemical mixing basin is to be designed to blend chlorine and treated wastewater. The basin flow is 700 gallons per minute and the basin dimensions are 5 feet by 5 feet by 5 feet water depth.
Assume you are an observer standing at a point on the track for a period of 30 minutes and are recording the instantaneous speed of each vehicle as it crosses your point. What is the time-mean speed and space-mean speed for these vehicle
Describe the equation for discharging a water tank. Use: H= 2m, A_s= 1m^2, density water= 1000kg/m^3, K = 1kg hr^-1 m^-1/2 Mass flow in = 0 and mass flow out given by, Mass flow out = K z^1/2.
The forces F1, F2, and F3, all of which act on point A of the bracket, arespecified in three different ways. Determine the x and y scalar components of each of the three forces.
Calculate the uniform flow rate in an earth-lined (n = 0.020) trapezoidal canal having bottom width 3 m, sides sloping 1V : 2H, laid on a slope of 0.0001, and having depth of 1.8 m.
The vertical effective stress at a certain point in a loose sand is 1000lb/ft^2. If an earth quake were to occur, how much excess pore water pressure would need to develop at this point for liquefaction to occur? Show a numerical rationale for your a..
The hypothetical velocity distribution in a horizontal, rectangular open channel is V=0.3y (m/s), where V is the velocity at a distance y (m) from the bottom of the channel. If the vertical depth of flow is 2 m and the width of the channel is 4 m,..
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