A multimode ultrasonic probe tip and transducer integrated into a micro tool, such as a nano indenter or a nano indenter interfaced with a Scanning Probe Microscope (SPM) is described. The tip component may be utilized to determine mechanical properties or characteristics of a sample, including for example, complex elastic modulus, hardness, friction coefficient, and strain and stress at nanometer scales and high frequencies. The tip component is configured to operate at multi-resonant frequencies providing sub-nanometer vertical resolution. The tip component may be quasi-statistically calibrated and contact mechanics constitutive equations may be utilized to derive mechanical properties of a sample. Contact mechanical impedance and acoustic impedance may also be compared.