The load is suspended from a weightless spring with a stiffness of 80h / m, vibrates with a period of 3.14s. determine the mass of the load.
Data: k – stiffness of the specified weightless spring (k = 80 N / m); T – oscillation period (T = 3.14 s).
To find out the mass of the load on the specified weightless spring, consider the formula: T = 2 * Π * √ (mх / k), whence we express: mх = k * T ^ 2 / (4 * Π ^ 2).
Let’s perform the calculation: mx = k * T ^ 2 / (4 * Π ^ 2) = 80 * 3.14 ^ 2 / (4 * 3.14 ^ 2) = 20 kg.
Answer: The weight of the load on the indicated weightless spring is 20 kg.
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