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A whip crack is illustrated below. To crack the whip, it is thrown forward with a velocity of 10 m/s and the handle is stopped in a vertical position instantly forming a tight loop that propagates forward. The whip is 3m long and has a mass (excluding the handle) of 0.4kg.
(a) Explain why momentum is not conserved in this system.
(b) Explain why energy is conserved in this system.
(c) Assuming the mass of the whip is uniformly distributed along its length, calculate the velocity of the end of the whip as a function of the position of the loop (x), and calculate the position of the loop as the end of the whip breaks the speed of sound (340m/s).
(d) Explain why whips are usually tapered.
Determine the magnitude of the average force acting on a highway bumper when a 5000-lb car traveling at 60 mph crashes against it. The time interval during which the car is brought to rest is 0.3 s.
A radar device is installed at a location on the roadside to measure instantaneous speeds of vehicles passing that location. The initial four vehicles' speeds are listed. Calculate the space-mean speed of these four vehicles.
A solution of HOCl is prepared in water by adding 15 mg HOCl to a volumetric flask, and adding water to the 1.0 L mark. The final pH is measured to be 7.0. What are the concentrations of HOCl and OCl
The elevation of water in well A is 300m above sea level and well B is 350m above sea level. The wells are 45m apart. A dye test reveals that the specific discharge between the two wells is about 2.75m/day.
In a certain chemical plant, a closed tank contains ethyl alcohol to a depth of 50 ft. Air at a pressure of 25 psi fills the gap at the top of the tank. Determine the pressure at a closed valve attached to the tank 10 ft above its bottom.
In bridge widening projects, the method of stitching is normally employed for connecting existing deck to the new deck. What are the problems associated with this method in terms of shrinkage of concrete
Important information about Short essay, In managing the uncertainties of ethical issues in engineering, what are some questions that we may ask to limit some of the risk
An 18 in. newriveted steel pipe 1000 ft long runs from elevation 150 ft toelevation 200 ft. If the pressure at elevation 150 ft is 100 psiand at elevation 200 ft is 72 psi, what flowrate can be expectedthrough the line? (use e = 0.003 ft)
rom a photograph one observes that on a level section of highway 10% of the vehicles are trucks, 90% are cars, and that there are 50 vehicles per mile of highway. The trucks travel at 40 mph, and the cars at 50 mph.
determine the location of the center of gravity of the cast aluminum block
This uniformly reduces 4X10-4 cm / s to a depth of 22 meters. If the water level is about 3 feet below the surface, determine the saturated hydraulic conductivity of the layer.
Determine the vertical deflection in inches at the midpoint, called point F, between points B and C. Use E=29,000 Ksi, I=800 inches^4, and A=6.0 inches^2 for all members. Use the Virtual Work Method.
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