Frequency of oscillation of a body is 6 Hz when force `F_(1)` is applied and 8 Hz when `F_(2)` is applied . If both forces `F_(1)` and `F_(2)` are applied together, then find out the frequency of oscillation.

Explanation

To find the frequency of oscillation when both forces \( F_1 \) and \( F_2 \) are applied together, we can follow these steps:

### Step 1: Understand the relationship between frequency and spring constant
The frequency of oscillation \( n \) of a mass-spring system is given by the formula:
\[ n = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \]
where \( k \) is the spring constant and \( m \) is the mass of the body.
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