Swings in the backyard
by Ben Rimes
skips
questions
Sequel





How high does the little girl have to swing in order to fall off the swing?




If a pendulum's swinging quite free, it's always a marvel to me that each tick plus each tock of the grandfather clock is 2 pi root L over g



How does the height of the little girl compare to the height of the little boy?What is the time for one swing for girl? for boy?


How fast should each child swing so that they pass each other exactly in the middle?



What is the relationship between the arc lengths (or sector areas) created between the two swings, and how does it change over time?

arc length of the swingers  does this predict difference in the number of full swings each child makes?


What is the difference in their rates? What is the difference of their arclengths?



What is the ratio between the periods of the swings? IOW, how many big swings are there per little swing?

In a 20 second interval, how many times will the swingers be at the same height? Would it make a difference if the girl stopped pumping?

How long is it between the times when the children are at the bottom of their arcs at the same time?






What is the period of their combined swinging (how long between times they are both the furthest forward at the same moment)


Does the baby keep moving longer while the big child is swinging (coupled oscillators)?


I saw them pass the low point together at one time  how long before this happens again?

How long is this video? How many swings will the girl get before the boy stops? How does he keep going if he's just sitting there?!


What is the period of each child? Can I represent their motion graphically?





What is a trigonometric function of time that domonstrates the position of the girl?







How often do the children meet in the middle in a 1 minute time period? 5 minutes? 10 minutes? Is there a pattern?


Is there any relation between the angle of swing (from the vertical) and the time it takes to complete one swing?

The big kids keeps going fast because she is pumping. The little kids goes fast then keeps slowing down. How much faster does the big kid?


How many more swings will the little kid in the blue seat get in one hour?









What does the graph of her height over time look like? His? What is her average speed? His?



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