Falling Tower Problem: Watch How to Solve It in This Video

In summary, ulrichgermany is seeking help with understanding the concept of inertia and the consequences of a leaning tower of blocks hitting the ground. They have found a video that demonstrates the problem and suggest not worrying about the tipping of the tower. The exact conditions of the problem are complex and involve taking into account friction and assuming the blocks are completely inelastic.
  • #1
ulrichgermany
1
0
Homework Statement
Identical discs are stacked on on top of another to form a freestanding tower. The bottom disc can be removed by applying a sudden horizontal force such that the rest of the tower remains standing. Investigate the phenomenon and determine the conditions that allow the tower to remain standing.
Relevant Equations
_ _
\_o_/
IIII
I I
I actually have no clue. Found a video that demonstrates the problem:

Can someone help pls?
 
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  • #3
To find the exact conditions will be exceedingly complex.
There's friction to think about, but you should cope with that.
But once the bottom block is halfway out from the block above, that block and the tower above it will start to tip. As the bottom block continues, the torque on the tower above it increases. How far will it have tipped when the bottom block is finally clear? What will be the consequence when that leaning tower hits the ground?
You should at least assume the blocks are completely inelastic.

I suggest they do not intend you to worry about the tipping at all.
 

1. What is the Falling Tower Problem?

The Falling Tower Problem, also known as the Leaning Tower of Lire Problem, is a mathematical puzzle that involves determining the height of a tower based on the angle at which it is leaning and the distance from the base of the tower to the point where it touches the ground.

2. How do you solve the Falling Tower Problem?

To solve the Falling Tower Problem, you need to use the trigonometric functions of sine and tangent to find the height of the tower. This involves setting up a right triangle with the tower as the hypotenuse and using the given angle and distance to calculate the height.

3. Why is the Falling Tower Problem important?

The Falling Tower Problem is important because it demonstrates the practical application of trigonometry in real-life situations. It also helps develop critical thinking and problem-solving skills.

4. Can the Falling Tower Problem be solved without using trigonometry?

No, the Falling Tower Problem cannot be solved without using trigonometry. Trigonometric functions are specifically designed to solve problems involving triangles, and the Falling Tower Problem involves finding the height of a tower using angles and distances.

5. Are there any real-life examples of the Falling Tower Problem?

Yes, the Falling Tower Problem has been used to solve real-life scenarios, such as determining the height of a building or tower that is leaning due to structural damage. It has also been used in architecture and engineering to ensure the stability and safety of structures.

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