Time period of a particle in shm depends on the force constant k and mass m of the particle `T = 2pisqrt(m/k)` A simple pendulum executes shm approximately. Why then is the time period of a pendulum independent of a mass of the pendulum?

Explanation

To understand why the time period of a simple pendulum is independent of its mass, we need to analyze the forces acting on the pendulum and how they relate to simple harmonic motion (SHM).

### Step-by-Step Solution:

1. **Understanding SHM and Time Period**:
The time period \( T \) of a particle in SHM is given by the formula:
\[
T = 2\pi \sqrt{\frac{m}{k}}
...