Question #103277

Suppose that you are pushing a child on a swing, initially at rest, periodically. Draw a displacement-time graph for the resulting oscillatory motion of the swing

Expert's answer

As we know that,

The swing will work as the simple pendulum, so as per the below diagram

Let the maximum displacement = a

So, here A is the amplitude,

let the time period of the swing is T,

"\\phi=" phase difference

so "y= a\\sin(\\dfrac{2\\pi}{T}t+\\phi)"

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