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The Coin and Letter Scale: A Weight Turned Round Its Pivot
Mark

Created by

Mark

29. September 2026FI
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The Coin and Letter Scale: A Weight Turned Round Its Pivot

A clerk checking whether a gold coin was light, or whether a letter needed a second stamp, wanted one small scale that answered both questions at a glance. David Cumming Jr. of New York received US 39,890, dated 15 September 1863, for a coin and letter scale: a beam on knife edges with a spring holder hanging from one end, and a weight on a pivot on the other arm, held where it is set by a spiral spring. A curved plate on the weight carries "the marks and figures of the denomination of the different coins, and also the marks and figures indicating an ounce and parts of an ounce for weighing letters." The weight is turned until the right mark is under the index, and the beam shows whether the coin or letter reaches it. This rung works out where the marks fall, then builds the scale from aluminium bar and washers and checks it against a kitchen scale.
Intermediate
About 3 hours

Instructions

1

Angles for the marks

Loading Jupyter Notebook...
2

The weighing arm before it

The embedded blueprint slides a weight along an arm. Cumming keeps the weight in one place and turns it about a pivot instead, which puts the whole scale on a short beam.
3

Read US 39,890

"A is the standard, with the bearings B B, on which the knife-edges x x rest. The knife-edges are firmly secured to the beam C, one end of which has the spring-holder D swinging freely from it on a knife-edge. F is a weight, which is attached to the beam by the pivot G." "Manner of working: The coin to be weighed is placed in the spring-holder, and the weight moved around on the pivot until the mark of the denomination of the coin on the curved plate is directly under the index K on the beam. If the coin is of the proper weight, the beam will be inclined toward the end on which the coin hangs."
4

Build the scale and mark it

**Stand.** Saw an upright 20 cm tall from hardwood board and screw it to a base. File a V-notch on each side of its top with a triangular needle file. **Beam.** Cut 35 cm of aluminium bar. Drill across its middle for a nail; the nail, resting in the notches, is the knife edge. Hang a large binder clip from a wire hook 6 cm from the nail on one side: the holder. **Weight.** On the other side, 4 cm from the nail, bolt a 30 mm strip of the same bar with an M5 bolt, washer and nut, tight enough to stay where it is turned. Bolt flat washers to its far end until the strip weighs 100 g on the kitchen scale. **Mark.** Glue a card semicircle to the beam round the bolt. Turn the weight towards the nail and balance the empty scale level by filing the heavier end of the beam or taping a washer to the lighter end: that is zero. Hang objects weighed on the kitchen scale in the clip, turn the weight until the beam balances, and mark each angle. Compare with the notebook, then weigh five letters and check them on the kitchen scale.

Materials for this step:

Hardwood BoardHardwood Board1 piece
Aluminum Bar StockAluminum Bar Stock0.35 meter
NailsNails1 piece
Hex Bolt AssortmentHex Bolt Assortment1 piece
Hex NutHex Nut2 pieces
Flat WasherFlat Washer6 pieces
Card StockCard Stock1 piece
Wood ScrewsWood Screws2 pieces
Galvanised Steel WireGalvanised Steel Wire0.1 meter

Tools needed:

Hand SawHand Saw
HacksawHacksaw
Cordless DrillCordless Drill
Drill Bit SetDrill Bit Set
Needle File SetNeedle File Set
Files (Hand File)Files (Hand File)
Screwdriver SetScrewdriver Set
Adjustable WrenchAdjustable Wrench
ProtractorProtractor
Digital Kitchen ScaleDigital Kitchen Scale
RulerRuler
PencilPencil
Large Binder ClipsLarge Binder Clips
5

A scale that sticks, drifts or reads wrong

Coin and letter scale troubleshooting.

Flow

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6

History and honest limits

**David Cumming Jr.** of New York received US 39,890, dated 15 September 1863 and antedated 2 February 1863. He wrote that "the machine has been tried and works well, and can be manufactured at a small cost"; his claim is the pivoted weight and the curved plate, operated together. **Honest limits.** A nail in filed notches stands in for his knife edges and bearings, a binder clip for his spring holder, and a tight bolt for his spiral spring. The notebook assumes the empty beam is balanced at zero and ignores the weight's own swing; its sizes are examples. Your marks and checks are the result.

Materials

9

Tools Required

13

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