Question

What is K in Pendulum?

Answer 1

1. The term $k$ in the case of a simple pendulum represents the spring constant.
2. Spring constant is the property of the spring.
3. The simple harmonic motion of a simple pendulum occurs when the displacement and the restoring force are proportional.
4. From Hooke's law, the equation of the SHM of a simple pendulum can be written as $F=-kx$ where $F$ is the restoring force, $x$ is the displacement, $k$ is the spring constant.
5. Applying newtons second law, the equation becomes
   $F=-kx=ma$
   where $m$ is the mass, $a$ is the acceleration.
6. The spring constant can be expressed as : $k=\frac{mg}{L}$, where $L$ is the length, m is the mass, and $g$ is the acceleration due to gravity.

Hence, K represents the spring constant.