(Solution) - Three blocks are connected by a weightless cord and rest -(2025 Original AI-Free Solution)

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Three blocks are connected by a weightless cord and rest on an inclined plane (Figure). Employing a procedure similar to the one used in the analysis of the falling parachutists in Example 9.11 yields the following set of simultaneous equations (free-body) diagrams are shown in Figure:
100? = T = 519.72
50? ? T + R = 216.55
25? ? R = 108.27
Solve for acceleration ? and the tensions T and R in the tworopes.