The leaning tower of tiles—revisited

Horton, G. K.; Holton, Brian; Freidkin, Eugene

doi:10.1119/1.2344654

Cited by 3 publications

(3 citation statements)

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“…In the second scenario, students may be encouraged to first perform the above presented calculations of the positions of centers of mass of differently shaped plates and to find the maximum possible shifts in the stack (table 1). Armed with that knowledge, they build the 'leaning' tower from the ground level up [8], placing curvilinear plates onto one another with the earlier calculated shift.…”

Section: The Building Of Displacement Towers From Power-law Curviline...mentioning

confidence: 99%

A stack of cards rebuilt with calculus

Kazachkov

Kireš

2017

Phys. Educ.

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Previous work covers building a tower from a stack of homogeneous rectangular plates, each with a maximum shift in displacement. We suggest using plates shaped as curvilinear triangles bounded by segments of powerlaw functions. The masses of the plates and the position of their center of mass are calculated and measured experimentally after cutting them out from cardboard and aluminum sheets. A computer simulation of the displacement towers is combined with their live building. Individual maximum shifts of the plates in the stack prove to be much bigger the higher the power coefficient of the boundary curves. The resulting total overhang of such a displacement tower may exceed that of a stack of traditionally used homogeneous rectangular cards.

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Section: The Building Of Displacement Towers From Power-law Curviline...mentioning

confidence: 99%

A stack of cards rebuilt with calculus

Kazachkov

Kireš

2017

Phys. Educ.

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“…The physics of stacking a series of rigid rectangular blocks to achieve a maximum overhang is well understood [1][2][3]. Such a system of overhanging rectangular blocks represents a perfect tool for demonstrating the concepts of turning moments and centre of gravity [4,5].…”

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confidence: 99%

Defying gravity using Jenga™ blocks

Tan¹,

Yap

2007

Phys. Educ.

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“…For the tower of bricks problem: n bricks of length L, identical and uniform, are stacked one on top of another and because the overhang distances form a divergent series [1], the claim is that we can move bricks to the right, infinitely. This article will show that in real situations this is impossible and the number of bricks that we can move to the right is not more than a specified number.…”

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confidence: 99%