The figure(figure 1) shows two balls of equal mass moving in vertical circles Is the tension in string A greater than less than, or equal to the tension in string B if the balls travel ov<< the top of the circle with equal speed? The tension in string A is greater than the tension in string B The tension in string A is less than the tension in string B The tension in string A is equal to the tension in siring B Is the tension in string A greater than less than, or equal to the tension in string B if the balls travel over the top of the circle with equal anglular velocity? The tension in string A is greater than the tension in string 8 The tension in string A is equal to the tension in string 8 The tension in string A is less than the tension in string B

## Answer

Part A: The tension in the string is given by. mv2 T=mg + The masses and the speeds are equa As the radius increases the tension in the string also decreases. Therefore, the tension in the string Ais greater than the tension in string B. Therefore, the correct option is (1) Part B: The tension in the string is given by. As the radius increases the tension in the string also increases. The string B has a greater radius than string A Therefore, the tension in string A is less than the tension in string B. Therefore, the correct option is (3).