please help!! The physics associated with statics has considerable applications

Question

please help!!

The physics associated with statics has considerable applications in engineering. As a mechanical engineer woking for a tow-truck manufacturer, you have been asked to evaluate the purchase of a new line of lowing able The supplier daims that, although its cables are not as strong as its competitors (maximum tension capability of 8030 lb), the cost savings make it a good investment A schematic to the towing configuration is shown below The car weighs 5267 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 function between the road and tires is sufficient to maintain no acceleration in the system.

Explanation / Answer

Ans. =>    Let tension in the rope be T lbs

               Now breaking T in components we get T cos%u03B8 in horizontal and T sin%u03B8 in vertical direction

               Now equating Torque about point at which rear wheel touches ground

               T sin46 * 9.785 = (Tcos46 * 0.5) + (5267 * 4.635)

                T = 3648.346 lbs

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