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1.A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a_t. If the maximum total acceleration of the train must not exceed 1.5 m/s^2, determine
(a) the shortest distance in which the train can reach a speed of 72 km/h,
(b) the corresponding constant rate of acceleration a_t.
2.A right-angle Cone, with base diameter 2.0m and height 2.45m, isinverted and fixed at the ceiling as shown in Figure 1. The floor height is 2.5m. After thecone deformed (due to the gravity and its own weight), will the cone touch the ground? Pleaseprovide your analysis in details. It is given that E = 7 × 106pa and the density ofthe cone ρ = 2000kg/m3.
How do you find the force ratio equation to determine the maximum total load that can be applied to a truss?
A body slides down a frictionless plane and during the third second after starting from rest if it travels 20.4m. What is the angle of inclination of the plane?
The 81-lb uniform square plate is supported by a ball-and-socket joint at O, a cable at E, a fixture at A which can support vertical force only, and a linear spring at C. If the unstretched length of the spring is 4 in.
n ideal gas in 1.50 gallon container is at a temperature of 125 degrees Celsius and of 2.5 atmospheres. If the gas is oxygen (formula: O_2, molecular weight = 32 grams per mole), what is the amount of gas in the container in units of grams
What is the maximum safe speed around the curve? If the speed limit on the roadway is 60mph, what action should be taken by the engineer?
Determine the design load for strength and serviceability limit states (short-term and long term), for a steel beam in a residential building with the following data;
A flowrate of 3.5 ft^3/s is to be maintained in a horizontal aluminum pipe ( E = 5 * 10 ^-6 ft). The inlet and outlet pressures are 65 psi and 30 psi, respectively, and the pipe length is 500ft. Determine the diameter of the pipe.
The mass of the compacted soil specimen is 1.91 kg and its water content is 14.5%. Using a specific gravity of solids of 2.66, compute the degree of saturation, density and unit weight of the compacted soil
The car was travelling on a 3% upgrade on a pavement with friction factor of 0.30. How much further would the car have skid if it did not strike the concrete barrier?
Determine the bending moment in a rectangular beam 2 in. wide and 4 in. deep, if the maximum bending stress is 20,000 psi.
A rigid open cylinder having an inside diameter of 15 mm contains a column of water 500 mm long at 20 degrees C. If a compressive force of 2 kN is applied to the top of the water column by a frictionless 15 mm piston
At a specified point on a highway, vehicles are known to arrive according to a poisson process. Vehicles are counted in 20 second intervals, and vehicle counts are taken in 120 of these time intervals.
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