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| View Original: | Trigonometric forces acting on a piano lid.png (502x612) | |||
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| Keywords: Trigonometric forces acting on a piano lid.png en 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 I Cuddlyable3 talk created this work entirely by myself Original uploaded on en wikipedia 12 57 6 July 2010 UTC Uploaded on Commons at 2010-10-12 08 21 13 UTC /Original uploaded at 2010-07-06 12 57 03 Cuddlyable3 talk Transferred by TeleComNasSprVen/Original uploaded by Cuddlyable3 Cuddlyable3 en Original upload log page en wikipedia Piano_lid png Upload date User Bytes Dimensions Comment 2010-07-06 12 57 03 Cuddlyable3 12670 502×612 <small><nowiki> 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</nowiki></small> Vectors Files transferred by TeleComNasSprVen Parts of pianos | ||||
