A disabled automobile is pulled by means of two ropes as shown. Knowing that the tension in rope AB is 3 kN, determine by trigonometry the tension in rope AC and the value of α so that the resultant force exerted at A is a 4.8-kN force directed along the axis of the automobile.

Question-Answer › Category: Engineering Mechanics › A disabled automobile is pulled by means of two ropes as shown. Knowing that the tension in rope AB is 3 kN, determine by trigonometry the tension in rope AC and the value of α so that the resultant force exerted at A is a 4.8-kN force directed along the axis of the automobile.

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S cornwell asked 1 year ago

A disabled automobile is pulled by means of two ropes as shown. Knowing that the tension in rope AB is 3 kN, determine by trigonometry the tension in rope AC and the value of α so that the resultant force exerted at A is a 4.8-kN force directed along the axis of the automobile.
Fig. P2.9

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Sazid Ahmad answered 1 year ago

Step: 1

Draw the force triangle.
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Step: 2

Use cosines law to find the tension in rope AC.

Here, tension in the cable AB is and the resultant force is .
Substitute for and for.

Therefore, tension in the rope AC is.