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Equal-Arm Balance on a Knife Edge, with a Set of Brass Weights
Penny

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Penny

14. uMfumfu 2026DK
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Equal-Arm Balance on a Knife Edge, with a Set of Brass Weights

The oldest weighing machine is a beam with equal arms balanced on a pivot, a pan hanging from each end: put the load in one pan and known weights in the other until the beam lies level. Balances go back to the Fourth Dynasty of Egypt. A hardened knife edge makes it sensitive and a long pointer shows the smallest tilt; the weights are cast in brass and adjusted against each other. The picture: our diagram of the balance, its knife edge, pointer, pans and weights.
Ophakathi
Two to three days

Imiyalelo

1

Beam and knife edge

File a straight beam from flat tool steel with a hole exactly in the middle and one near each end, the two end holes equally far from the centre. Forge and file a short steel knife edge, harden and temper it, and fit it through the centre hole, edge down. File a long pointer onto the beam.

Izinto zokwakha zalesi sinyathelo:

Induku eyisicaba yensimbi yamathuluziInduku eyisicaba yensimbi yamathuluzi1 ucezu

Amathuluzi adingekayo:

Insimbi yokuhlikihla izinsimbiInsimbi yokuhlikihla izinsimbi
Ibhola lesandlaIbhola lesandla
I-Caliper Yedijithali Yamayintshi Ayi-6I-Caliper Yedijithali Yamayintshi Ayi-6
Iziko lomkhandi wensimbiIziko lomkhandi wensimbi
Ibhakede lokupholisaIbhakede lokupholisa
Izibuko zokuphephaIzibuko zokuphepha
2

Stand and bearing

Make an upright stand of hardwood with a hardened steel V-block on top, shallower than the knife edge, so the beam rocks freely. Mark a zero line behind the pointer.

Izinto zokwakha zalesi sinyathelo:

Umucu wokhuni oluqinileUmucu wokhuni oluqinile2 izicucu
Ubhamu Oluyindilinga Lwensimbi EthambileUbhamu Oluyindilinga Lwensimbi Ethambile0.3 m

Amathuluzi adingekayo:

Insimbi yokuhlikihla izinsimbiInsimbi yokuhlikihla izinsimbi
Iziko lomkhandi wensimbiIziko lomkhandi wensimbi
Ibhakede lokupholisaIbhakede lokupholisa
3

Pans

Cut two equal brass discs, dish them slightly, drill three holes in each rim and hang each from an end hole on three equal cords.

Izinto zokwakha zalesi sinyathelo:

Ishidi Lethusi EliphuziIshidi Lethusi Eliphuzi1 ucezu
Intambo ye-linen enewaksiIntambo ye-linen enewaksi3 m

Amathuluzi adingekayo:

Isikeli sensimbiIsikeli sensimbi
Ibhola lesandlaIbhola lesandla
Insimbi yokuhlikihla izinsimbiInsimbi yokuhlikihla izinsimbi
4

Trim to level

With both pans empty, file the heavier side until the pointer rests on zero. Swap the pans and check again: if the pointer moves, the arms are unequal and the end holes need moving.

Amathuluzi adingekayo:

Insimbi yokuhlikihla izinsimbiInsimbi yokuhlikihla izinsimbi
5

Cast the weights

Melt brass and cast a row of plain cylinders a little heavy in green sand.

Izinto zokwakha zalesi sinyathelo:

Ingqimba yebhrasiIngqimba yebhrasi2 kg
AmalahleAmalahle1 as required
Isihlabathi sokubumbaIsihlabathi sokubumba5 kg

Amathuluzi adingekayo:

Iziko lomkhandi wensimbiIziko lomkhandi wensimbi
Imbiza Yobumba Emelana NomliloImbiza Yobumba Emelana Nomlilo
Udlawu Lwesitsha SokuncibilikisaUdlawu Lwesitsha Sokuncibilikisa
Ibhokisi lokubumba (elingaphezulu nelingaphansi)Ibhokisi lokubumba (elingaphezulu nelingaphansi)
Amagilavu okushiselaAmagilavu okushisela
6

Adjust the weights

Balance the largest weight against a litre of water measured in the cylinder (one kilogram, our reference), filing it down until the beam is level. Make the smaller ones by balancing pairs against a larger one and against each other, filing each to level.

Izinto zokwakha zalesi sinyathelo:

AmanziAmanzi1 ilitha

Amathuluzi adingekayo:

Isilinda esinezilinganisoIsilinda esinezilinganiso
Insimbi yokuhlikihla izinsimbiInsimbi yokuhlikihla izinsimbi
7

A binary set of weights

Ilayisha incwadi ye-Jupyterโ€ฆ
8

Limits

The balance's form and use are as Wikipedia describes; the sizes and the water reference are ours. Water's density changes a little with temperature, so the reference is good to a few parts in a thousand.

Izinto

9

Amathuluzi Adingekayo

12

CC0 Isizinda Somphakathi

Le blueprint ikhishwe ngaphansi kwe-CC0. Ukhululekile ukukopisha, ukuguqula, ukusabalalisa, nokusebenzisa ngaphandle kwemvume.

Sekela uMenzi ngokuthenga imikhiqizo nge-Blueprint yabo IKhomishane Yomenzi kumiswe ngabathengisi, noma dala inguqulo entsha yale Blueprint bese uyifaka njengoxhumaniso ku-Blueprint yakho ukuze wabelane ngemali engenayo.

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