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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 train 552 m long is moving on a straight track with a speed of 88.5 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 13.7 km/h.
Two blocks A and B have a weight of 10 and 5 , respectively. They are resting on the incline for which the coefficients of static friction are = 0.15 and = 0.40. The spring has a stiffness of = 7 and is originally unstretched.
An industry discharges PCE (tetrachloroethene, tetratchloroethylene, or perchloroethylene) into a small, well-mixed lake. The influent concentration is 0.4mg/L and the hydraulic residence time of the lake is 5days.
The fire department proposes to approach the truck from the upstream side and heavily spray the truck with water to prevent an explosion. Will this help to reduce the chlorine concentration downstream?
Estimate the time when the temperature at the geometric center of a 6 cm diameter apple held in 2`C water stream reaches 3oC. The initial uniform temperature of the apple is 15`C.
During frequent braking under race conditions the disk brake rotors on the car described above reach a temperature of 500C. These disk brakes rely on forced convection to cool them.
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.
The coefficients of static and kinetic friction are 0.3 and 0.2, respectively, between each of the plates and between plate A and the ground. Determine the acceleration of each plate.
How to draw bending moment diagram for this shape and the value of the moment in critical sections assume that the distributed load (w) KN/M and the concentrated load
You are assigned the task of using bioremediation to cleanup a hazardous waste site contaminated with Tetrachloroethylene. The site is a shallow surficial sandy aquifer 30 feet deep underlain by a clay unit. The depth to the watertable is 10ft.
is fabricated of two 300 mm X 25 mm flange plates and a 800 mm X 16 mm web plate. the plates are joined by four fillet welds that run continuously for the length of the girder. each weld has an allowable load in shear of 920 kN/m.
A 3-ft diameter column with weight of 150 kg is placed on top of 1 m thick aggregate layer. The soil beneath the aggregate layer is sand. The friction angle of the aggregate is 36 degrees and the unit weight is 22 lb/ft3. What is the pressure acti..
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