The rigidity of the spring pendulum is 100 N / m. What is its mass if the period of its oscillations is 4s?

To solve the problem, we use the formula for the period of natural oscillations of a spring pendulum:

T = 2 * π * √ (m / k),

where m is the mass of the cargo in kg,

k is the stiffness of the spring in N / m.

Let us express the mass of the pendulum from the formula:

m = T ^ 2 * k / 4 * π ^ 2 = 4 ^ 2 * 100/4 * 3.14 ^ 2 = 4 * 100 / 9.86 = 40.57 kg.

Answer: the weight of the pendulum is 40, 57 kg.