5 A particle \(P\), of mass 2 kg , is attached to fixed points \(A\) and \(B\) by light inextensible strings, each of length 2 m . \(A\) and \(B\) are 3.2 m apart with \(A\) vertically above \(B\). The particle \(P\) moves in a horizontal circle with centre at the mid-point of \(A B\).
- Find the tension in each string when the angular speed of \(P\) is \(4 \mathrm { rads } ^ { - 1 }\).
- Find the least possible speed of \(P\).