1) Background: Conventional diagnostic tools for identifying fractures in bone, like X-rays and CT scans, are widely used but involve ionizing radiation and lack sensitivity to physical degradation, like stiffness loss and damping in bones. To overcome these limitations, noninvasive vibration-based diagnostic techniques are emerging as promising alternatives for evaluating fracture severity. (2) Objective: This work aims to assess the dynamic behavior of bone specimens with varying fracture orientations specifically oblique, longitudinal, and lateral to identify which orientation leads to the most severe mechanical degradation. (3) Methods: Goat metacarpal bones were tested with four fracture types with an unfractured reference bone. Controlled lateral impacts were applied using an instrumented hammer, and vibrational responses were recorded using an accelerometer. Data were analyzed using Fast Fourier Transform (FFT) to extract Frequency Response Functions (FRF), coherence, and phase characteristics. Each condition was subjected to three tests for consistencies in results. (4) Conclusion: The results indicated that lateral fractures resulted in the greatest decrease in stiffness, lowest resonance frequency, and largest FRF magnitude, making them the worst fracture type in mechanical degradation. (5) Application: This method has implications for radiation-free fracture diagnosis, particularly of benefit to pregnant women and radiation-sensitive groups.