Determine $$M_{eq}$$ and $$K_{eg}$$ for the system in below Fig., when X, the downward displacement of the block, measured from the system's equilibrium position, is used as the generalized coordinate. Take I as the M.I. of the wheel.

A

$$K_{eq} = 3k, m_{eq} = m + \frac{1}{r^2}$$

B

$$K_{eq} = 3k, m_{eq} = mr^2 + I$$

C

$$K_{eq} = 3k, m_{eq} = m - \frac{1}{r^2}$$

D

$$K_{eq} = \frac{k}{3}, m_{eq} = m + \frac{1}{r^2}$$