12th Edition

ISBN: 9781259977268

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek

Publisher: McGraw-Hill Education

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In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

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Textbook Question

Chapter 10.2, Problem 10.73P

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 K θ 2 , where K is the torsional spring constant and θ is the angle of twist.)

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 θ corresponding to the position of equilibrium when P = 100 N, l = 250 mm, and K = 12.5 N·m/rad.

Chapter 10.2, Problem 10.73P, Using the method of Sec. 10.2C, solve Prob. 10.39.Determine whether the equilibrium is

Fig. P10.39

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Chapter 10.2, Problem 10.72P

Chapter 10.2, Problem 10.74P

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Chapter 10 Solutions

Vector Mechanics for Engineers: Statics

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Solution Summary: The author shows the free-body diagram of the arrangement as in Figure 1. The torsional spring constant is K, the angle of twist is theta and the magnitude of force applied at point A is P.

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Chapter 10 Solutions