The springmass system shown in the figure has two uneven mas

The spring-mass system shown in the figure has two uneven masses attached at both ends and supported by two springs of equal stiffness. Neglect the mass of the rod. Assuming small displacement, determine: (a) the two natural frequencies. (b) the model fractions, and (c) sketch the mode shapes of the system.

Solution

Biomedical Imaging Question: Using the figure above, calculate the X-ray intensity, as a function of the incident intensity I0, that reaches the detector for each of the three X-ray beams. The dark-shaded area represents bone, and the light-shaded area represents tissue. The linear attenuation coefficients at the effective X-ray energy of 68 keV are 10cm-1 for bone and tissue, respectively.