Notes

Oscillations of Spring Combination…

Oscillations of Spring Combination –
1. If a spring pendulum is constructed by using two spring in series and a mass m as shown in fig. (a), the resultant spring constant of the combination is given by 1/k_s = 1/k₁ + 1/k₂ = k₁ + k₂/k₁k₂ Hence, T = 2π√m/k_s (T = 2π√m ×(k₁ + k₂/k₁k₂)
2. If in a spring pendulum two springs are joined in parallel arrangement as shown in fig. (b) and Fig. (c), then k_p = k₁ + k₂ Hence, T = 2π√m/k₁ + k₂ These rules are applicable for horizontal motion of spring mass systems too.