Spring Constant Comparison — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Spring Constant Comparison This comparison is valid for a spring vertically attached to a mass 'm' undergoing Simple Harmonic Motion (SHM), where the static constant is determined by equilibrium and the dynamic constant by the period of oscillation. Derive the static constant ( k static ) from the equilibrium condition: F spring = mg , leading to k static = mg . Derive the dynamic constant ( k dynamic ) from the SHM period formula: T = 2 m k dynamic . Rearrange the period formula to solve for k dynamic , yielding k dynamic = 4 2 m T 2 . The comparison highlights that k static and k dynamic are generally not equal unless the oscillation is purely horizontal. m > 0 > 0 T > 0 Assuming k static and k dynamic are always equal, regardless of the orientation of the oscillation. Confusing the period T with the frequency f when calculating k dynamic . Forgetting to include the factor of 4 2 when deriving k dynamic from the period formula.