In a test of the operation of a "cherry-picker" fire truck, the equipment is free to roll with its brakes released. For the position shown, the truck is observed to deflect the spring of stiffness \(k=15 \mathrm{kN} / \mathrm{m}\) a distance of \(150 \mathrm{~mm}\) because of the action of the horizontal stream of water issuing from the nozzle when the pump is activated. If the exit diameter of the nozzle is \(30 \mathrm{~mm}\), calculate the velocity \(v\) of the stream as it leaves the nozzle. Also determine the added moment \(M\) which the joint at \(A\) must resist when the pump is in operation with the nozzle in the position shown.

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4.8 m 90 75 15 m