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?

Time period of a particle in shm depends on the force constant k and m

1.	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?
Answer» Solution :In the CASE of simple pendulum the force constant k = MG/l. THUS k depends on m. Substituting this value in the equation for period `T= 2pisqrt((ML)/(mg))=2pisqrt(l/g)`. This mass CANCELS out and hence T is independent of mass m.