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Q5. A mass of 2 kg is suspended from the free end of a close coiled helical spring. The free length of the spring is 1.25 m, the mass of the spring is negligible and its stiffness is 100 N/m. The mass is rotated in a horizontal circular path below its point of suspension and is forming a conical pendulum and the tension in the spring is 75 N.

When the system is rotating, calculate EACH of the following:

(a) the length of the spring after the mass is applied. (4)

(b) the orbital radius of the mass. (6)

(c) the linear velocity of the mass. (6)