Hi guys, I have been trying to find the "floppy" resonant mode frequency of a simple oscillator. The displacement is in the order of nanometers, while the dimensions of the oscillator is in cm. I think small angle approximations apply here. I got to the point of the equation of motion, but I have no idea how to solve it. The equation for the shear modulus is defined. I used it to find the force. I related force to torque. I used maclaurin's expansion on cos θ and tan θ to approximate the equation in terms of θ. Would appreciate any help.