The loop of Problem 97 is attached to a plastic spring of spring constant ??(Figure).

(a) When B?= 0, the period of small-amplitude vertical oscillations of the mass?spring system is 0.8 s. Find the spring constant ?.

(b) When B?? 0, a current is induced in the loop as a result of its up and down motion. Obtain an expression for the induced current as a function of time when B?= 0.40 T.

(c) Show that the induced current acts as a damping mechanism.

(d) Determine the value of the magnetic field for which the Q of the mass?spring system is 100.

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