For the silicon nanowire in Example 9.2, use the lumped mass model shown, in which a point...

For the silicon nanowire in Example 9.2, use the lumped mass model shown, in which a point mass m is connected to a rod of negligible mass and length L that is pinned at O, to determine the natural frequency ωn and frequency f of the nanowire. Use the values given in Example 9.2 for the mass of the lumped mass, the length of the massless rod, and the parameters used to determine the spring constant k = 3EIcs/L3. You may use either δ or θ as the position variable in your solution. Assume that the displacement of m is small so that it moves vertically.

Figure P9.17