# The load is suspended from a weightless spring with a stiffness of 80h / m, vibrates with a period of 3.14s.

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. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.