Question

Груз массой 100 грамм с частотой 2 Гц под действием пружины.Опредедите жёсткость пружины k

Answer 1

Вот дано и решение)))

Answer 2

Calculation of the Spring Constant (k) for a Mass (m) under the Action of a Spring

To determine the spring constant (k) of a spring when a mass (m) of 100 grams is under its action with a frequency of 2 Hz, we can use the formula:

k = (4π²m) / T²

Where: - k is the spring constant - m is the mass - T is the period of oscillation

In this case, the mass (m) is given as 100 grams, which is equivalent to 0.1 kg. The frequency (f) is given as 2 Hz, which is equivalent to 2 oscillations per second. The period (T) can be calculated as the reciprocal of the frequency:

T = 1 / f

Substituting the values into the formula, we have:

k = (4π² * 0.1) / (1/2)²

Simplifying the equation further:

k = (4π² * 0.1) / (1/4)

k = (4π² * 0.1) * 4

k = 16π² * 0.1

k ≈ 15.915

Therefore, the spring constant (k) is approximately 15.915.

Please note that the above calculation assumes a simple harmonic motion and neglects any damping effects or other factors that may affect the behavior of the system.