Maximum Overhang for Uniform Blocks

In summary, the maximum overhang of uniform blocks stacked at the edge of a table is determined by the location of the center of gravity of the combined system. In order for the blocks not to fall off, the center of gravity of the top block must be directly over the edge of the bottom block. This can be calculated by solving for the location of the center of gravity of the bottom block (distance x back from the edge) and setting it equal to the location of the combined system's center of gravity (at the edge of the bottom block).
  • #1
Amar.alchemy
79
0
Overhang of uniform blocks??

Homework Statement


If you put a uniform block at the edge of a table. the center of the hlock must be over the table for the hlock not to fall off. (a) If you stack two identical blocks at the table edge, the center of the top block must be over the bottom block, and the center of gravity of the two blocks together must be over the table. In terms of the length L of each block, what is the maximum overhang(see attached file) possible??

Homework Equations


Xcm= Mx1+Mx2 / (M + M)


The Attempt at a Solution



If i keep the bottom block on the table so that its CG lies at the right edge of the table, then using the above formula if i calculate the CG for both blocks, its CG also lies at the edge of the table...
Taking origin as the left edge of the bottom block...

[tex]
\[\begin{array}{l}
L/2 = (M(L/2) + Mx)/(M + M) \\
x = L/2 \\
\end{array}\]
[/tex]

kindly help me
 

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  • #2


Your problem is that you assume that the bottom block stays where it is, half of it overhanging. If that is the case, you cannot add a second block with any overhang without it toppling over. You need to solve the problem from the beginning with two blocks.
 
  • #3


can u kindly explain me how to start with this problem?? I 'm still not getting... Like how to find the location of CG of the bottom block??
 
  • #4


Say the CG of the bottom block is distance x back from the edge. At what distance from the edge must the CG of the top block be so that the CG of the combined system is exactly over the edge?

** Additional explanation on edit **
Note that the CG of the top block must be at the edge of the bottom block for maximum overhang.
 
Last edited:
  • #5


kuruman said:
Say the CG of the bottom block is distance x back from the edge. At what distance from the edge must the CG of the top block be so that the CG of the combined system is exactly over the edge?

** Additional explanation on edit **
Note that the CG of the top block must be at the edge of the bottom block for maximum overhang.

Thanks ... i got it... :smile:
 

Related to Maximum Overhang for Uniform Blocks

1. What is an overhang of uniform blocks?

An overhang of uniform blocks refers to the distance that a block extends beyond the edge of the supporting block or platform. This can also be described as the unsupported length of the block.

2. How is the overhang of uniform blocks calculated?

The overhang of uniform blocks can be calculated by taking into account the length of the supporting block or platform and the dimensions of the blocks being used. The overhang can also be affected by the weight and distribution of the blocks.

3. What is the maximum overhang for uniform blocks?

The maximum overhang for uniform blocks depends on various factors such as the weight, dimensions, and material of the blocks, as well as the strength and stability of the supporting structure. Generally, it is recommended to keep the overhang to a maximum of half the length of the supporting block or platform.

4. How does the overhang of uniform blocks affect stability?

The overhang of uniform blocks can significantly affect the stability of a structure. A longer overhang can create an imbalance and cause the blocks to topple over. It is important to carefully calculate and consider the overhang when constructing with uniform blocks to ensure stability and safety.

5. Are there any safety precautions to consider when working with overhang of uniform blocks?

Yes, there are several safety precautions to consider when working with overhang of uniform blocks. It is crucial to ensure that the supporting structure is strong and stable, and the blocks are securely placed. It is also important to avoid overloading the blocks and to use caution when approaching or working near the overhanging blocks.

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