Newtonian Mechanics – Why Mass of Bob Has No Effect on Period of Simple Pendulum

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Why is there no effect in the mass of the bob on the period of the simple pendulum?

I have found out many different explanations. However, I wasn't able to find a scientific explanation for my research proposal.

Best Answer

The net torque is only determined by gravity, and the force of gravity is proportional to the mass of the bob, so by Newton's second law we lose the dependency on mass. It's the same reason why all objects have the same acceleration in a gravitational field.