Determine meq and keq 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. \({K_{eq}} = 3k,{m_{eq}} = m + \frac{I}{{{r^2}}}\)
• B. \({K_{eq}} = 3k,{m_{eq}} = m{r^2} + I\)
• C. \({K_{eq}} = 3k,{m_{eq}} = m - \frac{I}{{{r^2}}}\)
• D. \({K_{eq}} = \frac{k}{3},{m_{eq}} = m + \frac{I}{{{r^2}}}\)