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A machine is supported on four steel springs for which damping can be neglected. The natural frequency of vertical vibration of the machine-spring system is 200 cycles per minute. The machine generates a vertical force p(t)=p0sinwt. The amplitude of the resulting steady-state vertical displacement of the machine is u0=0.2 in. when the machine is running at 20 rpm, 1.042 in at 180 rpm, and 0.0248 at 600 rpm. Calculate the amplitude of vertical motion of the machine if the steel springs are replaced by four rubber isolators which provide the same stiffness, but introduce damping equivalent to 25% for the system. Comment on the effectiveness of the isolators at various machine speeds
A trapezoidal channel of bottom width 25ft and side slope 1:2.5 carries a discharge of 450cfs with a normal depth of 3.5 ft. The elevations at the beginning and end of the channel are 685 and 650 ft, respectively.
A finished 2 x 4 timber (actual size 1 5/8 in. x 3 1/2 in. x 10 ft long) is used as a fixed-end, fixed-end column. If the modulus of elasticity for the timber is 1600 ksi and a factor of safety of 3 with respect to failure by buckling is specified
A one meter diameter cylindrical mass is connected to a 2 meter wide rectangular gate. the gate is to open when the water level drops below 2.5 meters. Determine the required value of the mass of the cylinder in kgs.
how many cubic feet of seawater, density 60 lb/ft^3, must be processed to recover 1 ton of magnesium, 1,272 ppm?
Determine the gravitational force acting between two spheres that are touching each other. The mass of each sphere is 400 kg and the radius is 300mm.
what are the factors affecting the hydraulic conductivity?
Prepare an outline of the experimental design you will suggest to the plant manager. This outline should contain research rationale, aims and objectives, research methodology, nature of data analysis and interpretation, and possible outcomes/concl..
Calculate the compacted cubic yards per hour if a compactor with a 5-ft drum width travels at 3 mph over a 10-in. lift of aggregate base course with 4 passes required to meet density specifications under average operating conditions.
The column is composed of two materials, the inner is brass with a diameter of 100mm and the outer is aluminum with a diameter of 150mm. A rigid flat plate is placed on top to insure that both materials move together when compressed.
an insulated tank is evacuated. Air from the atmosphere at 12 psia and 70 degrees farenheight is allowed to flow into the 100 cubic foot tank. What is the final temp and the final mass of air in the tank just after flow ceases.
The beam ABC of length L has two different moments of inertia (2I in AB, I in BC) and a constant elastic modulus E. It is fixed at point A has a roller support at point B and a load P at C. a. Sketch the deflected shape of this beam.
if a ball is dropped from a height of 800 cemtimeters, and the impact velocity is 41 feet per second, determine the value of gravity in units of meters per second.
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