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

Given, P = 100 N l = 250 mm = 0.25 m K = 12.5 Nm/rad θ = ? at Equilibrium

Answered: The lever AB is attached to the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

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