M3 June 2012 Q3

EdexcelOld spec10 marksHorizontal Circular Motion

3.

Figure 1: particle Q (5 kg) attached by strings of length 0.6 m to points A and B, 0.4 m apart on a vertical pole, moving in a horizontal circle
Figure 1

A particle \(Q\) of mass 5 kg is attached by two light inextensible strings to two fixed points \(A\) and \(B\) on a vertical pole. Each string has length 0.6 m and \(A\) is 0.4 m vertically above \(B\), as shown in Figure 1.

Both strings are taut and \(Q\) is moving in a horizontal circle with constant angular speed 10 rad s\(^{-1}\).

Find the tension in

(i) \(AQ\),
(ii) \(BQ\). (10)
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