Two wires are tied to the 2.0 kg sphere shown in FIGURE

Chapter 8, Problem 8.72

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QUESTION:

Two wires are tied to the 2.0 kg sphere shown in FIGURE P8.45. The sphere revolves in a horizontal circle at constant speed. a. For what speed is the tension the same in both wires? b. What is the tension?

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QUESTION:

Two wires are tied to the 2.0 kg sphere shown in FIGURE P8.45. The sphere revolves in a horizontal circle at constant speed. a. For what speed is the tension the same in both wires? b. What is the tension?

ANSWER:

Step 1 of 5

Part (a)

The free body diagram can be shown as,

                           

Let the distance DC is r. In triangle ABC and BCD, the length AB is equal to BC whose value is 1 m. And the cosine angle can be expressed as,

                                                         

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