The physics associated with statics has considerable applications in engineering
ID: 2241661 • Letter: T
Question
The physics associated with statics has considerable applications in engineering. As a mechanical engineer working for a tow-truck manufacturer, you have been asked to evaluate the purchase of a new line of towing cable. The supplier claims that, although its cables are not as strong as its competitors (maximum tension capability of 5.30
The physics associated with statics has considerable applications in engineering. As a mechanical engineer working for a tow-truck manufacturer, you have been asked to evaluate the purchase of a new line of towing cable. The supplier claims that, although its cables are not as strong as its competitors (maximum tension capability of 5.30 times 103 lb), the cost savings make it a good investment. A schematic of the towing configuration is shown below. The car weighs 3752 lb, which is as large as the company expects their tow trucks to service. Calculate the tension in the cable just as the front of the car begins to lift off the ground. Assume the center of mass (CM) of the car is positioned exactly halfway across its length, the geometry of the wheels and front/rear of the car is symmetrical and that the coefficient of friction between the road and tires is sufficient to maintain no acceleration in the system.Explanation / Answer
maximum tension T = 5300 lb
weight of the car = 3752 lb
moment about point A just as car lifts is
T sin 50 * 10.5- W *9.45/2 - T cos 50 *(1.5+0.45) =0
T (0.766*10.5 -0.642*1.95) = 17728.2
T = 1912.7 lb
as MAX is 5300lb, it is advisable to use this
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