4.26. In Chapter 11 we are much smarter and are able to show that for a cantilever beam, the force required to deflect the end, as is illustrated in Figure 4.32 is F Fig. 4.32 Cantilever beam subjected to a force at the end. 3EI L3 where E is the modulus of elasticity, which is a property of the material used, I is the area moment of inertia of the cross-section of the beam, and L is the length. If a mass m,is attached to the end of the beam, what is the equation of motion for the vertical motion of the beam? If the length is doubled, what is the change in frequency of the free vibration of the beam? x=0 F x=L

4.26. In Chapter 11 we are much smarter and are able to show that for a cantilever beam, the force required to deflect the end, as is illustrated in Figure 4.32 is F Fig. 4.32 Cantilever beam subjected to a force at the end. 3EI L3 where E is the modulus of elasticity, which is a property of the material used, I is the area moment of inertia of the cross-section of the beam, and L is the length. If a mass m,is attached to the end of the beam, what is the equation of motion for the vertical motion of the beam? If the length is doubled, what is the change in frequency of the free vibration of the beam? x=0 F x=L

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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