Circular Motion

The point in a vertical circular motion with the least tension will be the top point. Meanwhile, the point with maximum speed will be the bottom point. The FBD can be made as shown.Using the above FBD:$ h (2 R) m $

In this scenario, two cyclists, Abhijit and Vani, set off from the same point on a circular track in opposite directions. Abhijit rides at a constant speed, while Vani accelerates from rest. They meet again on the track when their speeds are equal. Here's the analysis:Abhijit's constant speed is .Vani's speed when they meet is .Vani's acceleration is .As Abhijit travels at a constant speed, the distance he covers, , is given by: Vani, starting from rest and accelerating uniformly, reaches a speed when they meet, which is calculated by: The distance that Vani travels, using the equation for uniformly accelerated motion, is: Since Abhijit and Vani meet with the same speed: This implies: Substituting this expression for back into Vani's distance equation gives: Thus, we have:Abhijit's distance: Vani's distance: Therefore: This means Abhijit traveled double the distance traveled by Vani.