OCR FM1 AS 2021 June — Question 1

Exam BoardOCR
ModuleFM1 AS (Further Mechanics 1 AS)
Year2021
SessionJune
TopicCircular Motion 2

1
\includegraphics[max width=\textwidth, alt={}, center]{d6a0d7a6-4166-4c26-a461-39b2414c0412-02_494_390_251_255} A smooth wire is shaped into a circle of radius 2.5 m which is fixed in a vertical plane with its centre at a point \(O\). A small bead \(B\) is threaded onto the wire. \(B\) is held with \(O B\) vertical and is then projected horizontally with an initial speed of \(8.4 \mathrm {~ms} ^ { - 1 }\) (see diagram).
  1. Find the speed of \(B\) at the instant when \(O B\) makes an angle of 0.8 radians with the downward vertical through \(O\).
  2. Determine whether \(B\) has sufficient energy to reach the point on the wire vertically above \(O\).
This paper (2 questions)
View full paper