TEST BANK FOR The Physics of Vibrations and Waves 6th Edition By H.J. Pain , Youfang Hu

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 ...