Standard +0.3 This is a standard vertical circle problem requiring energy conservation to find speed at the top, then applying Newton's second law with centripetal force. The calculation is straightforward with given values, though it requires careful handling of the energy equation and force balance—slightly above average due to the multi-step nature but still a textbook exercise.
1 A particle \(P\) of mass 0.6 kg is attached to a fixed point \(O\) by a light inextensible string of length 0.4 m . While hanging at a distance 0.4 m vertically below \(O , P\) is projected horizontally with speed \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and moves in a complete vertical circle. Calculate the tension in the string when \(P\) is vertically above \(O\).
1 A particle $P$ of mass 0.6 kg is attached to a fixed point $O$ by a light inextensible string of length 0.4 m . While hanging at a distance 0.4 m vertically below $O , P$ is projected horizontally with speed $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and moves in a complete vertical circle. Calculate the tension in the string when $P$ is vertically above $O$.
\hfill \mbox{\textit{OCR M3 2007 Q1 [6]}}