D A B -b-

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A uniform rod of length L is supported by a ball-and-socket joint at A and by a vertical wire CD Derive an expression for the period of oscillation of the rod if end B is given a small horizontal displacement and then released.

D
A
B
-b-
Transcribed Image Text:D A B -b-
Expert Solution
Step 1

 

  The horizontal displacement 
   xc = bθm
Given : 

ϕm =xch       = bhθm

From the question , we get 

 

γc =h(1-cosϕm)

 

 

Step 2

 1-cosϕm = 12hϕm2so, γc =h(12hϕm)2               = 12b2hθm2we have ,γm  = AGAC                                                     = 14b2hθm2

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