Pulley System Acceleration Relationship · CAP 2024 #3

Physics · mechanics

Problem

Consider the setup below. [Figure: Pulley system with three masses m₁, m₂, m₃] Let a1a_1, a2a_2, a3a_3 be the accelerations of m1m_1, m2m_2, m3m_3 respectively. Which of the following is true? A. a1=−12(a2+a3)a_1 = -\frac{1}{2}(a_2 + a_3) B. a1=−12(a2−a3)a_1 = -\frac{1}{2}(a_2 - a_3) C. a1=12(a2+a3)a_1 = \frac{1}{2}(a_2 + a_3) D. a1=a2+a3a_1 = a_2 + a_3 E. a1=a2−a3a_1 = a_2 - a_3 F. a1=−(a2+a3)a_1 = -(a_2 + a_3)

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