The rigid T-shaped frame shown in the figure is hinged at point O. It carries masses m and m2, and is supported by springs k and k2. One end of spring k is subject to pre- scribed motion y(t). Use the rotation of the frame about the hinge point as your coordinate system. Derive the equations of motion and determine the natural frequency of vibrations. f(t) mi m2 L2 Problem 5: Motion with dry friction In this problem, we look at certain aspects of vibrations of a system with dry friction. Consider the system shown in the figure. Derive the equations of motion for the mass. Which of the following has a bigger influence on the natural frequency of the system: 0 or P? fi(t) L 0 L3 m y(t) -mmmxx. 0000000000 5 k