TEST BANK FOR The Physics of Vibrations and Waves 6th Edition By H.J. Pain , Youfang Hu
Harvard University
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TEST BANK FOR The Physics of Vibrations and Waves 6th Edition By H.J. Pain (Textbook author), Youfang Hu
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---178november 20212021/2022
- Exam (elaborations) TEST BANK FOR The Physics of Vibrations and Waves 6th Edition By H.J. Pain (Textbook author), Youfang Hu 
SOLUTIONS TO CHAPTER 1 
1.1 
In Figure 1.1(a), the restoring force is given by: 
F = −mg sinθ 
By substitution of relation sinθ = x l into the above equation, we have: 
F = −mg x l 
so the stiffness is given by: 
s = − F x = mg l 
so we have the frequency given by: 
ω2 = s m = g l 
Since θ is a very small angle, i.e. θ = sinθ = x l , or x = lθ , we have the ...
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