The lever AB is attached to the horizontal shaft BC that passes through a bearing and is welded to a fixed support at C. The torsional spring constant of the shaft BC is K; that is, a couple of magnitude K is required to rotate end B through 1 rad. Knowing that the shaft is untwisted when AB is horizontal, determine the value of 0 corresponding to the position of equilibrium when P = 100 N, l = 250 mm, and K = 12.5 N•m/rad. Ө

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.43P: A slender homogeneous bar is bent into a right angle and placed on a cylindrical surface. Determine...
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Using the method of Sec. 10.2C, solve Prob. 10.39. Determine whether the equilibrium is stable, unstable, or neutral. (Hint: The potential energy corresponding to the couple exerted by a torsion spring is 1/2 Kθ 2 where K is the torsional spring constant and 0 is the angle of twist.)
Reference to Problem 10.39:

The lever AB is attached to the horizontal shaft BC that passes
through a bearing and is welded to a fixed support at C. The torsional
spring constant of the shaft BC is K; that is, a couple of magnitude
K is required to rotate end B through 1 rad. Knowing that the shaft
is untwisted when AB is horizontal, determine the value of 0
corresponding to the position of equilibrium when P = 100 N,
l = 250 mm, and K = 12.5 N•m/rad.
Ө
Transcribed Image Text:The lever AB is attached to the horizontal shaft BC that passes through a bearing and is welded to a fixed support at C. The torsional spring constant of the shaft BC is K; that is, a couple of magnitude K is required to rotate end B through 1 rad. Knowing that the shaft is untwisted when AB is horizontal, determine the value of 0 corresponding to the position of equilibrium when P = 100 N, l = 250 mm, and K = 12.5 N•m/rad. Ө
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