A mass suspended from a spring of spring constant k is made to oscillate with a time period T. Now, the spring is cut into three equal parts and the mass is suspended from one of the parts. What will be the new time period of oscillations?

Explanation

To solve the problem, we need to determine the new time period of oscillation when a mass is suspended from one part of a spring that has been cut into three equal parts.

### Step 1: Understand the original time period
The time period \( T \) of a mass \( m \) suspended from a spring with spring constant \( k \) is given by the formula:
\[ T = 2\pi \sqrt{\frac{m}{k}} \]

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