We start from the expression for the contact force 4 a³ 1/21 F=E (₁ 7² - (07*³²¹) ³²) '8γπa3 E* 3 R E* taking the derivative of this force with respect to the contact radius, a, and setting it equal to zero will give us the stationary points in the force versus contact radius response (see Figure 5.3) аг ½2 (4a² - (88x) ¹² 3 a ¹²²) R E* We can reduce this to 8 2 = 3 ak dividing both side by a¹/2, we obtain 8 3/2 = R which can be simplified to 3/2 = 887 112 12 3 (BYx) E* 1/2 १४ (98XR²) 22

We start from the expression for the contact force 4 a³ 1/21 F=E (₁ 7² - (07³²¹) ³²) '8γπa3 E 3 R E* taking the derivative of this force with respect to the contact radius, a, and setting it equal to zero will give us the stationary points in the force versus contact radius response (see Figure 5.3) аг ½2 (4a² - (88x) ¹² 3 a ¹²²) R E* We can reduce this to 8 2 = 3 ak dividing both side by a¹/2, we obtain 8 3/2 = R which can be simplified to 3/2 = 887 112 12 3 (BYx) E* 1/2 १४ (98XR²) 22

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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