Mathematics · Oscillations
Consider two spring-mass setups. In figure (A), a combined mass '3m' (where a mass '2m' is fixed on top of mass 'm') is attached to two parallel horizontal springs each of spring constant k. In figure (B), a single mass 'm' is attached to two parallel horizontal springs of spring constants 'k' and '2k'. If the masses in both configurations are displaced by a distance 'x' horizontally and then released, then the ratio of the corresponding time periods T1 and T2 follows which relation?
- 1T1T2 = √23
- 2T1T2 = √23
- 3T1T2 = √32
- 4T1T2 = 3√2✓
Correct answer
T1T2 = 3√2
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