A ball is attached by two spring as shown [vvvOvvv]. If the mass is displaced a distance â–³x BELOW the equilibrium position h (see figure A). Determine whether vertical SHM is possible for the system shown.If so, find the natural frequency.

Question

A ball is attached by two spring as shown [vvvOvvv]. If the mass is displaced a distance â–³x BELOW the equilibrium position h (see figure A). Determine whether vertical SHM is possible for the system shown.If so, find the natural frequency.
[Assume that the vertical extension â–³x is small compared with the extended length d' of the spring and (1+a)to the power of -b is close to 1-ab if a is small.]

(Figure A,it shows where d, h, â–³x are located)

â€”dâ€”â€”
â–â•²â–¡â–¡â–¡â•±â–•ï¿£ï½œ
â–â–¡â•²â–¡â•±â–¡â–•ï½œï½œh
â–â–¡â–¡â—â–¡â–¡â–•Ëï½œ
â–â–¡â–¡â–¡â–¡â–¡â–•Ëï½œâ–³x