OCR MEI Further Mechanics Major 2022 June — Question 4

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

4
\includegraphics[max width=\textwidth, alt={}, center]{cbe25a5a-0ca7-4e1b-b5b1-141a49186944-04_629_835_260_251} The diagram shows a particle P , of mass 0.1 kg , which is attached by a light inextensible string of length 0.5 m to a fixed point O . P moves with constant angular speed \(5 \mathrm { rad } \mathrm { s } ^ { - 1 }\) in a horizontal circle with centre vertically below O . The string is inclined at an angle \(\theta\) to the vertical.
  1. Determine the tension in the string.
  2. Find the value of \(\theta\).
  3. Find the kinetic energy of P.