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Homework Statement
Determine the equation for the natural frequencies of a uniform rod in torsional oscillation with one end fixed and the other end free
Homework Equations
Theta = [A*sin(omega*(rho/G)^(1/2)*x)+B*cos((omega*(rho/G)^(1/2)*x)]*[C*sin(omega*t)+D*cos(omega*t)]
The Attempt at a Solution
This is an example problem in the book Theory of vibrations with applications. I don't understand why they stard with the equation
[A*sin(omega*(rho/G)^(1/2)*x)+B*cos((omega*(rho/G)^(1/2)*x)]*sin(omega*t)
instead of the equation containing the constants C and D.