If two persons sit on a swing instead of one,why does the time period not change?
(N/A) The time period of a simple pendulum (which models a swing) is given by the formula $T = 2 \pi \sqrt{\frac{l}{g}}$.
In this formula,$l$ represents the effective length of the swing (the distance from the point of suspension to the center of mass of the system) and $g$ is the acceleration due to gravity.
Since the mass of the person$(s)$ does not appear in the formula for the time period,the time period is independent of the mass of the person sitting on the swing.
Therefore,adding another person does not change the time period,provided the effective length $l$ remains constant.
In this formula,$l$ represents the effective length of the swing (the distance from the point of suspension to the center of mass of the system) and $g$ is the acceleration due to gravity.
Since the mass of the person$(s)$ does not appear in the formula for the time period,the time period is independent of the mass of the person sitting on the swing.
Therefore,adding another person does not change the time period,provided the effective length $l$ remains constant.
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