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A classic first year problem is shown in the diagram below. Two blocks with mass m are connected by a massless string. One mass sits
A classic first year problem is shown in the diagram below. Two blocks with mass m are connected by a massless string. One mass sits on a frictionless horizontal surface. The string runs from this first mass to the right over a frictionless pulley, and then down to the other mass, which is suspended from the string as shown. What is the overall acceleration of the hanging mass ifthe system is released from rest? We are going to solve this problem in two ways: (a) Do this problem using the standard firstyear approach, i.e., without using the Lagrangian and instead working via the tension T in the string. (b) Do this problem using the Lagrangian approach. (e) Which is easier? {a} or {b}
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