A simple yet tricky pendulum problem

[Mr.P]

Homework Statement

A swing in a playground is set in motion without anyone on it. Thereafter a person sits on it, as close to static as possible while the swing is in motion.
Finally a person is standing on the swing, the swing in motion.

Homework Equations

Under ideal circumstances (no aerodynamics, no movement by the person etc), in what case would the frequency of the "harmonic pendulum" be the highest?

The Attempt at a Solution

The frequency should be the highest in the case with the person standing on the swing, since the centre of gravity has moved further up. With no one on the swing the frequency should be somewhat lower, and lowest with a person sitting on since the gravity then is moved downwards.
What do you think, all help is appreciated.

/Mr.P

 

[LowlyPion]

Welcome to PF.

When the person is sitting how much of their weight is above the seat and how much below?

The center of mass then is higher or lower than the swing alone?

 

[Mr.P]

Hi, thanks for the reply.
There is no info on how the centre of mass is moved compared to the seat of the swing. Nor is there any info on how the persons weight is divided. But if I am not mistaken the centre of mass in a human is located in the very low stomach. Assuming this is correct, the centre of mass should be higher with a person sitting on the swing than for the swing alone.
If this is the case the frequency for the swing is the lowest for the swing itself, higher with a person sitting on it and the highest with a person standing on it.
Would this seem reasonable to assume?
As the title of the question hint it feels like a tricky problem..

Pete

 

[LowlyPion]

That sounds like a better answer then.

Cheers.

 

[Mr.P]

Thanks for the time LowlyPion, feedback much appreciated.

Pete