3. A smooth circular hoop of radius 1 m , with centre \(O\), is fixed in a vertical plane. A small ring \(Q\), of mass 0.1 kg , is threaded onto the hoop and held so that the angle \(Q O H = 30 ^ { \circ }\), where \(H\) is the highest point of the hoop. \(Q\) is released from rest at this position. Find, in terms of \(g\),

1. the horizontal and vertical components of the acceleration of \(Q\) when it reaches the lowest
   \includegraphics[max width=\textwidth, alt={}, center]{1bcb4e33-b27c-48f0-9540-9ec553e7fe40-1_271_458_620_1528}
   horzonal and graduals moves. Show that the particle starts to move when the extension in the string is 17 cm . point of the hoop;
2. the magnitude of the reaction between \(Q\) and the hoop at this lowest point. a
   point of the hoop; the magnitude of the reaction between \(Q\) and the hoop at this lowest point.\includegraphics[max width=\textwidth, alt={}]{1bcb4e33-b27c-48f0-9540-9ec553e7fe40-1_46_1257_1469_468} $$\sum \cos + 20 + 2$$ ,
   \includegraphics[max width=\textwidth, alt={}, center]{1bcb4e33-b27c-48f0-9540-9ec553e7fe40-1_90_327_1622_1604}
   \includegraphics[max width=\textwidth, alt={}, center]{1bcb4e33-b27c-48f0-9540-9ec553e7fe40-1_200_81_1512_1850} \section*{MECHANICS 3 (A)TEST PAPER 7 Page 2}