Question

Why is the time period of a simple pendulum independent of the mass of the bob, when the period of a simple harmonic oscillator is T = 2π m k/ ?

Answer 1

The time period for a simple pendulum is 1 second

Answer 2

Dear Student,

◆ Answer with explaination -

Time period of simple harmonic oscillator (like spring) is given by -

T = 2π√(m/k)

From this, we can say that period of spring motion depends on the mass of spring and spring constant.

Time period of simple pendulum is given by

T = 2π√(l/g)

From this, we can say that period of simple pendulum is independent of its mass. It only depends on length and gravity.

Hope this helps you...