A bar with a length of (L) and cross-sectional area (A) is made of a material with
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A bar with a length of \(L\) and cross-sectional area \(A\) is made of a material with an elastic modulus \(E\) and mass density \(ho\) and has a normalized longitudinal mode shape \(X_{k}(x)\) which corresponds to a natural frequency \(\omega_{k}\).
(a) What is the potential energy of a system that vibrates with this mode shape?
(b) What is the kinetic energy of a system that vibrates with this mode shape?
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