To understand this quantitatively, consider the following diagrams that model ou

Question

To understand this quantitatively, consider the following diagrams that model our string-hex nut systems:

Using the kinematic equations, (1) calculate the time it takes for each of the equally-spaced masses in the left diagram to hit the ground. (2) Perform the same calculation for the staggered mass system in the right diagram. How does the time change between impacts of successive masses in both scenarios? Does this agree with your observations? (3) In the staggered hex nut system, which hex nut had the highest velocity when hitting the ground? Calculate this velocity using the proper kinematic equations.

Explanation / Answer

let t be the time taken

we know that

d = (1/2)gt^2

or t^2 = (2d/g)

or t = (2d/g)^1/2

where g = 9.8 m/s^2

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