Physics - W.E.P. Question with Solution | TestHub
Assertion (A): A particle of mass attached to a light inextensible string performing vertical circular motion will complete the circle if its speed at the lowest point is at least , where is the radius of the circle.
Reason (R): At the highest point of the vertical circle, the tension in the string must be non-negative () for the particle to continue its circular path, which requires a minimum speed of at that point.
Options:
Answer:
Solution:
For the particle to complete the vertical circle, the tension in the string at the highest point must be greater than or equal to zero. Applying Newton's second law at the highest point, , so . Using conservation of mechanical energy between the lowest and highest points: . Substituting , we get . Thus, . Both assertion and reason are correct, and the reason provides the necessary condition that leads to the assertion.
