PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
Two blocks of masses m1 and m2 are connected by a light, inextensible string that passes over an ideal pulley. The blocks move freely once released and remain connected by the string.
Throughout this question, express all algebraic answers entirely in terms of m1, m2, and g.
(a) Derive a symbolic expression for the magnitude of the common acceleration of the two blocks.
(b) Derive a symbolic expression for the magnitude of the tension in the string.
(c) Evaluate the limiting form of your acceleration expression when m2≫m1 and interpret the physical significance of this limit.