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A spring has a force constant k, and an object of mass m is suspended from it. The spring is cut in half and the same object is suspended from one of the halves. How are the frequencies of oscillation, before and after the spring is cut, related?

A spring has a force constant k, and an object of mass m is suspended from it. The spring is cut in half and the same object is suspended from one of the halves. How are the frequencies of oscillation, before and after the spring is cut, related?

Grade:upto college level

2 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
232-1204_1.PNG
Kushagra Madhukar
askIITians Faculty 628 Points
3 years ago
Dear student,
Please find the answer to your question.
 
Let, f1 → frequency before cutting the string
f2 → frequency after cutting the string
The relation will be f2 = √2 f1
Refer to the above answer for the complete solution.
 
THanks and regards,
Kushagra
 

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