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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.
Assume that gasoline is burned with 99% efficiency in a car engine, with 1% remaining unburned in the exhaust gases as VOCs. If the engine exhausts 16 kg of gases (MW = 30) for each kg of gasoline (MW = 100)
The cross-sectional area of the sample was 60 cm2 and its length was 150 mm. For 80 cm3/min steady-state flow rate, a total head difference of 8 cm was measured across two points separated by 10 cm along the axis of the sample.
A compressor installed at a whalf (for loading container ships) is able to provide 6 bar.g pressure into the pressure reciever. The compressor is moved to a site that is 5000 ft above sea level (atmospheric pressure 0.85 bar.a
A 35 percent-efficient coal-fired power plant with effective height of 100 m emits SO2 at a rate of 0.6 lb/10^6 Btu into the plant. If winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 m
A steel tank with 2.5 m high vertical walls and a flat triangular floor is filled with three immiscible liquids layered upon each other. Two of the walls are 1.2 m long and perpendicular to each other.
The P.C. of a 3 degree curve, whose degree is based on a chord of100 ft. arc, is at Sta. 19+39.60 and the P.T is at Sta. 25+64.60. Calculate the deflection angle from the tangent at the P.C
A 10cm diameter vertical tank holds 20cm of water topped with 15cm of ethyl alcohol. The cylinder is rotated about its central axis at a rotation rate of 20 rad/s. (a) What will be the shape of the air-alcohol and alcohol-water interfaces
What kind of soil labs are good for the construction which is underlying the wet clay is dense sand. For example, compaction, and so on.
A continuous distillation column containing plates is required to distil a 46% w/w ethanol (C2H5OH) in water solution. The overhead product must contain 91 % w/w ethanol and the bottom product 5 % w/w ethanol.
Design a logic circuit that, when enabled with an active-high signal named en, will detect four different ranges of values for a 5-bit input number.
A clay ball (m=0.82 kg) is thrown at a metal target (M=1.72 kg) that is suspended from a cable. The ball is released 1.5 m above teh ground at an angle of 32 degrees.
Structural health monitoring using Guided Wave propagation for Detection and Evaluation of Flaws in Pipes.
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