Question

2) Определить массу груза пружинного маятника зная коэффициент жесткости пружины 1,9 и частоту колебаний 0,2Гц

Answer 1

K=1.9 Н/м     v=0.2 Гц    m=?
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T=2*π*√(m/k)
v=1/T
m=k/(2*π*v)²=1.9/(2*3.14*0.2)²≈1.2 кг
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Answer 2

Calculation of the Mass of a Spring Pendulum

To determine the mass of a spring pendulum, we need to know the spring constant and the frequency of oscillation. In this case, the spring constant is given as 1.9 and the frequency of oscillation is 0.2 Hz.

The formula to calculate the mass of a spring pendulum is:

m = (4π²k) / (ω²)

Where: - m is the mass of the pendulum - k is the spring constant - ω is the angular frequency, which is equal to 2π times the frequency of oscillation

Let's substitute the given values into the formula and calculate the mass.

Given: - Spring constant (k) = 1.9 - Frequency of oscillation (f) = 0.2 Hz

Solution: 1. Calculate the angular frequency (ω): - ω = 2πf - ω = 2π * 0.2 - ω ≈ 1.26 rad/s

2. Substitute the values into the formula: - m = (4π²k) / (ω²) - m = (4π² * 1.9) / (1.26²) - m ≈ 4.52 kg

Therefore, the mass of the spring pendulum is approximately 4.52 kg.