A schematic of the towing configuration is shown below. The car weighs 4459 lb,

Question

A schematic of the towing configuration is shown below. The car weighs 4459 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. Based on your results, what would you advise your company?

Explanation / Answer

net tension acting on a body = mg sin theta

here mass = 4459 lbs = 4459 * 0.4536 = 2022.6 kgs

so whne gravity is acting exactly at the centre , the angle will be 90 deg

so T = 2202.62 * 9.81

T = 19.84 k N

Note: your answer may differ depending on the figure:

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