Use the data in the figure to determine the force of the cable needed to lift th

Question

Use the data in the figure to determine the force of the cable needed to lift the front of the car off the ground. Assume the center of rotation is the back axle and the center of mass of the car is at the center of symmetry. Also assume the two axles are equidistant from the center of mass (CM) in the horizontal direction.

Solve this problem using the natural units of force in pounds and distance in feet.

Hints: There are only two forces acting in this problem causing torque: the weight of the car and the cable.

             Not all dimensions given in this problem are needed to answer the question.

Explanation / Answer

taking the moment along the back axle

Torque due to cable about back axle = rxF = 9.595*Fsin50

Torque due to cm about back axle = 4.545*5.57*10^3*32.174

At equilibrium

T1=t2

9.595*Fsin50 = 8.145*10^5

F = 1.108*10^5

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