Question
Answer the following:
(a) Time period of a particle in SHM depends on the force constant k and mass m of the particle: T =
A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum?
Solution
For a simple pendulum, force constant or spring factor k is proportional to mass m, therefore, m cancels out in the denominator as well as in numerator. That is why the time period of a simple pendulum is independent of the mass of the bob.