Surprising Physics: Falling Flat Boards & Chimneys

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    Falling Flat Physics
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SUMMARY

The discussion centers on the surprising physics of a flat board and its behavior when released from a horizontal position at the edge of a table, demonstrating that it accelerates faster than free fall due to gravitational torque. The calculations reveal that the angular acceleration is α = (3/2)(g/L), leading to a linear acceleration of a = (3/2)g at the loose end. Additionally, the conversation explores the phenomenon of falling chimneys and chalk, where participants debate the number of pieces a falling chalk stick breaks into, humorously approximating it to π. The discussion highlights the differences in failure mechanisms between chalk and chimneys, emphasizing the role of structural integrity and impact energy.

PREREQUISITES
  • Understanding of basic physics concepts such as torque and angular acceleration
  • Familiarity with moment of inertia calculations
  • Knowledge of gravitational effects on rigid bodies
  • Basic principles of material failure and stress concentrations
NEXT STEPS
  • Study the principles of rotational dynamics and torque in physics
  • Explore the concept of moment of inertia in various shapes and materials
  • Research the mechanics of brittle fracture and material failure
  • Investigate real-world applications of dynamics in structural engineering
USEFUL FOR

Physics students, engineers, and anyone interested in the mechanics of falling objects and material properties will benefit from this discussion.

  • #61
honestrosewater said:
Do yours carry brooms?

Sure. They use them to keep the storm drains clear.
 
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  • #62
Integral said:
As I write, I notice that something strange is happening outside, there is some unusual form of energy pouring through my windows, and the clouds all seem to be blue?
Janus, what is that big yellow thing in the sky?

I don't know, But I bet you is has sumptin' to do with one of dem der' "dry spells" cast by a "sand witch".
 
  • #63
Janus said:
I don't know, But I bet you is has sumptin' to do with one of dem der' "dry spells" cast by a "sand witch".
That sounds reasonable... Now I am hungry! A sandwitch and some round \pi sounds real good.
 
  • #64
Integral said:
That sounds reasonable... Now I am hungry! A sandwitch and some round \pi sounds real good.

Round \pi? I thought \pi r^2?
 
  • #65
Janus said:
Round \pi? I thought \pi r^2?
That is a common myth. When was the last time you ate a square \pi?
 
  • #66
Integral said:
That is a common myth. When was the last time you ate a square \pi?

It was a Shepherd's \pi.
 
  • #67
I like to fit square \pi into a square meal; It's more efficient that way.
 
  • #68
This chalk business is reminiscient of Feynman's conjecture: If you grasp the two ends of a dry spaghetti noodle and break the noodle by bending, it is almost impossible to break it into any less then 3 pieces.
 
  • #69
Integral said:
That is a common myth. When was the last time you ate a square \pi?

I usually encounter it in a triangular prism form.

http://www.rockfield.co.uk/images/chimney_collapsing_real.gif
This chimney broke into \pi pieces.

So tomorrow I'll settle this - if I remember to buy chalk. I'll try and get the sidewalk form as well. I don't have a highspeed camera.
 
Last edited by a moderator:
  • #70
I bought the chalk today, but I'm going to do it tomorrow. I'm confident it will break into pi pieces. Happy trails!

-Mr. Smith
 
  • #71
Mk said:
I bought the chalk today, but I'm going to do it tomorrow. I'm confident it will break into pi pieces. Happy trails!

-Mr. Smith
Watch out for the witches and shepherds.
 
  • #72
Now he even has me waiting for his results :smile:
 
  • #73
... he better come up with a detailed report ... gotten to the point that have to make someone do a lab assignment (for real) about this topic :biggrin: .
 
  • #74
I forgot to do it! Oh no, its 11 o'clock, I will do it tomorrow.
 
  • #75
So with my box of 16 3 and 1/4 inch, long-lasting non-toxic plain RoseArt white chalk, I would have to conclude: Myth busted.

Four trials, at 3 heights: 36", 42", and 48" inches.

At 36 inches:
Trial 1: 2 pieces (1:1)
Trial 2: 2 pieces (2:1)
Trial 3: 4 pieces (1:1:1:1)
Trial 4: 1 pieces

At 42 inches:
Trial 1: 2 pieces (1.5:1)
Trial 2: 1 pieces
Trial 3: 1 pieces
Trial 4: 3 pieces (1:4:1)

At 42 inches:
Trial 1: 2 pieces (2:1)
Trial 2: 2 pieces (1:1)
Trial 3: 1 pieces
Trial 4: 3 pieces (4:1:4)

Not one time did the chalk break into pi pieces.

Sorry kids.
 
  • #76
No wonder - you got long-lasting chalk! :eek:
 
  • #77
... now for starters someone fit a Weibull distribution to the results please :biggrin: ... we'll see what kind of brittle material we're talking about.
 

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