JEE PYQ: Motion In Two Dimensions Question 3
Question 3 - 2021 (25 Feb Shift 1)
A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5:1. The velocity of the bob at the highest position is ________ m/s. (take $g = 10$ m/s$^2$)
Show Answer
Answer: 5
Solution
Using energy conservation and tension equations with $T_{max}/T_{min} = 5$: $v^2 = 65$, $v_{min}^2 = 65 - 40 = 25$, so $v_{min} = 5$ m/s.