OCR Further Mechanics AS 2022 June — Question 5

Exam BoardOCR
ModuleFurther Mechanics AS (Further Mechanics AS)
Year2022
SessionJune
TopicCircular Motion 1

5 One end of a light inextensible string of length 3.5 m is attached to a fixed point \(O\) on a smooth horizontal plane. The other end of the string is attached to a particle \(P\) of mass \(0.45 \mathrm {~kg} . P\) moves with constant speed in a circular path on the plane with the string taut. The string will break if the tension in it exceeds 70 N . Determine the minimum possible time in which \(P\) can describe a complete circle about \(O\).