Rankers Physics

Spring Block System: Practice Problem & Solution

The time period of a mass suspended from a spring is $T$. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be: (2003)
$\frac{T}{4}$
$T$
$\frac{T}{2}$
$2T$

Solution Explained:

To solve this problem, we apply the core principles of Spring Block System. Understanding the underlying formula is key to arriving at the correct answer below:

Spring constant is inversely proportional to its length. For a one-fourth part, $k' = 4k$. New period $T' = 2\pi\sqrt{\frac{m}{4k}} = \frac{T}{2}$.

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