File:Trigonometric forces acting on a piano lid.png
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![File:Trigonometric forces acting on a piano lid.png](https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Trigonometric_forces_acting_on_a_piano_lid.png/492px-Trigonometric_forces_acting_on_a_piano_lid.png?20101012082348)
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[edit]DescriptionTrigonometric forces acting on a piano lid.png |
English: Force vectors on a piano lid.
The prop resists the moment of the lid tending to turn on its hinge. The value of the moment is MGR.cosØ where M=mass of lid, G = gravitational constant, R = distance from hinge to center of gravity of lid, Ø = angle of elevation of lid. The force P exerted by the prop on the lid may have two components: P.sine@ and P.cos@ where @ is the angle between the prop and the lid. P.cos@ is a force parallel to the underside of the lid and, if present, it will cause the top of the prop to slide against the lid unless this is prevented by a block, notch or hole. P.sine@ counteracts the lid turning moment which implies that MGR.cosØ = PS.sine@ where S = distance from hinge to prop contact. The situation @ = 90 degrees is interesting because P.cos(90 degrees) = 0 meaning the prop has no tendency to slide against the lid. Nothing here requires R = S so the lid angle Ø can be chosen by the prop length. |
Date | (UTC) (Uploaded on Commons at 2010-10-12 08:21:13 (UTC)/Original uploaded at 2010-07-06 12:57:03) |
Source | I (Cuddlyable3 (talk)) created this work entirely by myself. (Original uploaded on en.wikipedia) |
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Cuddlyable3 (talk) (Transferred by TeleComNasSprVen/Original uploaded by Cuddlyable3) |
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[edit]Public domainPublic domainfalsefalse |
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This work has been released into the public domain by its author, Cuddlyable3. This applies worldwide. In some countries this may not be legally possible; if so: |
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[edit]The original description page was here. All following user names refer to en.wikipedia.
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- 2010-07-06 12:57:03 | Cuddlyable3 | 12670 | 502×612 | {{Information |Description = Force vectors on a piano lid. The prop resists the moment of the lid tending to turn on its hinge. The value of the moment is MGR.cosØ where M=mass of lid, G = gravitational constant, R = distance from hinge to center of
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current | 08:23, 12 October 2010 | ![]() | 502 × 612 (12 KB) | TeleComNasSprVen (talk | contribs) | {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} The tool and the bot are operated by User:Jan Luca and User:Magnus Manske. == Summary == {{Information |Description = {{en |Fo |
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