2. Two weights (750 g each) are tied together by a string and swung at a high rate of speed in a vertical circle. The inner string attached to the inner weight is 54.0 cm long and the outer string that connects the two weights is 36.0 cm long. a) On a particular time around the outer weight is traveling at 7.20 m/s at its highest point when the strings are vertical. Draw a force diagram for each weight. b) What is the angular speed of each weight at the highest point? What is the acceleration of each weight? c) What is the tension force of the outer string on the outer weight at this highest point? d) What is the tension force of the inner string on the inner weight at the highest point? e) Assume the weights are traveling the same speed when they reach their lowest point and the strings are vertical. What is the tension for of the outer string on the outer weight and the tension force of the inner string on the inner weight at this lowest point? Why are these different answers than in c) and d)? (Draw a force diagram for each weight at this lowest point. f) What is the tension in each string at the lowest point?

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**Problem Statement:**

Two weights (750 g each) are tied together by a string and swung at a high rate of speed in a vertical circle. The inner string attached to the inner weight is 54.0 cm long, and the outer string that connects the two weights is 36.0 cm long.

**Questions:**

a) On a particular time around, the outer weight is traveling at 7.20 m/s at its highest point when the strings are vertical. Draw a force diagram for each weight.

b) What is the angular speed of each weight at the highest point? What is the acceleration of each weight?

c) What is the tension force of the outer string on the outer weight at this highest point?

d) What is the tension force of the inner string on the inner weight at the highest point?

e) Assume the weights are traveling the same speed when they reach their lowest point and the strings are vertical. What is the tension force of the outer string on the outer weight and the tension force of the inner string on the inner weight at this lowest point? Why are these different answers than in c) and d)? Draw a force diagram for each weight at this lowest point.

f) What is the tension in each string at the lowest point?

**Diagram Explanation:**

The diagram shows a vertical circle with two weights attached by strings. One string is vertical, and the weights are positioned linearly with one above the other, indicating their moment in the circular motion.
Transcribed Image Text:**Problem Statement:** Two weights (750 g each) are tied together by a string and swung at a high rate of speed in a vertical circle. The inner string attached to the inner weight is 54.0 cm long, and the outer string that connects the two weights is 36.0 cm long. **Questions:** a) On a particular time around, the outer weight is traveling at 7.20 m/s at its highest point when the strings are vertical. Draw a force diagram for each weight. b) What is the angular speed of each weight at the highest point? What is the acceleration of each weight? c) What is the tension force of the outer string on the outer weight at this highest point? d) What is the tension force of the inner string on the inner weight at the highest point? e) Assume the weights are traveling the same speed when they reach their lowest point and the strings are vertical. What is the tension force of the outer string on the outer weight and the tension force of the inner string on the inner weight at this lowest point? Why are these different answers than in c) and d)? Draw a force diagram for each weight at this lowest point. f) What is the tension in each string at the lowest point? **Diagram Explanation:** The diagram shows a vertical circle with two weights attached by strings. One string is vertical, and the weights are positioned linearly with one above the other, indicating their moment in the circular motion.
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