Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their series combination. The ratios of time period of oscillation of the two SHM is T_b / T_a = √x, where value of x is ................... (Round off to the Nearest Integer)
Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their series combination. The ratios of time period of oscillation of the two SHM is T_b / T_a = √x, where value of x is ................... (Round off to the Nearest Integer)
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1 Answer
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Kindly consider the following figure
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Velocity of block in equilibrium, in first case,
Velocity of block in equilibrium, is second case,
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f? = 300 Hz
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K = U
½ mω² (A² - x²) = ½ mω²x²
A² - x² = x²
A² = 2x²
x = ± A/√2
f = (1/2π)√ (k/m), k=YA/L. f= (1/2π)√ (YA/mL)
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