How many times will the frequency of vibrations of the car on the springs change after accepting the load
| September 1, 2021 | education
How many times will the frequency of vibrations of the car on the springs change after accepting the load, the mass of which is equal to the mass of the empty car?
Data: mg (weight of the received cargo) = ma (vehicle weight).
To find out the change in the vibration frequency of the specified vehicle on the springs, consider the ratio: k = ν2 / ν1 = (1 / 2Π * √ (k / (ma + mg))) / (1 / 2Π * √ (k / ma)) = √ (k / 2ma) / √ (k / ma)) = √ (k / 2ma) / (k / ma)) = √ (ma / 2ma) = √1 / 2.
Answer: After accepting the load, the vibration frequency of the specified vehicle on the springs should decrease √2 times.
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