Determine the fixed-free displacement-to-force tip receptance for a sintered carbide cylinder by coupling the free-free receptances to a rigid wall (with zero receptances). The beam is described by the following parameters: \(19 \mathrm{~mm}\) diameter, \(150 \mathrm{~mm}\) length, \(550 \mathrm{GPa}\) elastic modulus, and \(15,000 \mathrm{~kg} / \mathrm{m}^{3}\) density. Assume a solid damping factor of 0.002 . Select a frequency range that encompasses the first two bending modes and display your results as magnitude \((\mathrm{m} / \mathrm{N})\) versus frequency \((\mathrm{Hz})\) in a semi-logarithmic format. Verify your result by comparing it to the displacement-to-force tip receptance for a fixed-free beam with the same dimensions and material properties.