In this article (and video above), we take a deep dive into how to solve a two-block system problem using the work-energy principle, straight from the Dynamics section of the FE Exam. We explore how forces like friction, gravity, and motion all interact in a real-world scenario involving an inclined plane and a pulley. By breaking down the steps and applying core principles, you’ll learn how to calculate the velocity of a block after it descends a given distance helping you confidently prepare for the FE Exam.
Question:
In this problem, we have two blocks connected by a massless rope over a frictionless pulley. Block A, weighing 25 kg, rests on a rough 30° inclined plane with a kinetic friction coefficient of 0.15, while Block B, weighing 35 kg, hangs vertically. The system is released from rest and our goal is to determine the velocity of Block B after it descends 8 meters.
Problem Context:
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