4.31 System Chapter 11 we are much smarter and are able to show that for a c m, the force required to deflect the end, as is illustrated in Figure 4.32 is F = 4.32 Cantilever beam subjected to a at the end. ЗЕЛ L3 buieds x=0 cantilever F-XX ere E is the modulus of elasticity, which is a property of the material used, I is area moment of inertia of the cross-section of the beam, and L is the length. fa mass m,is attached to the end of the beam, what is the equation of motion the vertical motion of the beam? If the length is doubled, what is the change in uency of the free vibration of the beam? jaký F x=L

Elements Of Electromagnetics
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mhm
4.31 System for Exercise 4.24 (left) and Exercise 4.25 (right).
m, the force required to deflect the end, as is illustrated in Figure 4.32 is
In Chapter 11 we are much smarter and are able to show that for a cantilever
ЗЕЛ
L3 X,
4.32 Cantilever beam subjected to a
at the end.
F =
ere E is the modulus of elasticity, which is a property of the material used, I is
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
the vertical motion of the beam? If the length is doubled, what is the change in
quency of the free vibration of the beam?
=kX
2
Guieds
x=0
F-XX
F
x = L
Fig. 4.33 Rotatin
4.28. Referring
the end of a ca
elasticity of the
length is L = 1
1. Determine t
2. Determine t
@= 1000 r
4.29. Determin
1. On the sam
2. Identify the
the part you
Transcribed Image Text:mhm 4.31 System for Exercise 4.24 (left) and Exercise 4.25 (right). m, the force required to deflect the end, as is illustrated in Figure 4.32 is In Chapter 11 we are much smarter and are able to show that for a cantilever ЗЕЛ L3 X, 4.32 Cantilever beam subjected to a at the end. F = ere E is the modulus of elasticity, which is a property of the material used, I is 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 the vertical motion of the beam? If the length is doubled, what is the change in quency of the free vibration of the beam? =kX 2 Guieds x=0 F-XX F x = L Fig. 4.33 Rotatin 4.28. Referring the end of a ca elasticity of the length is L = 1 1. Determine t 2. Determine t @= 1000 r 4.29. Determin 1. On the sam 2. Identify the the part you
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