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Question: 112 a differential equation encountered in the vibration of beams...

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1.12 A differential equation encountered in the vibration of beams is where x distance measured along the beam; [x]- L] ydisplacementof the beam; [y] -L] ω circularfrequencyof vibration; [o]-[7-1] γ - mass of the beam per unit length; [7]-[ML-1] Dbending rigidity of beam; [D [FL] Show that the equation is dimensionally homgeneous. Note that [F see Eq. (I.2b). [MLT-2]

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