Block A of mass rests on a horizontal rough table

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Block A of mass 5.0 kg5.0\,\text{kg} rests on a horizontal rough table. It is connected by a light string over an ideal pulley to a hanging block B, as shown in a typical laboratory setup. The coefficient of static friction between A and the table is μs=0.40\mu_s=0.40 and the coefficient of kinetic friction is μk=0.35\mu_k=0.35. (i) Calculate the minimum value of mass B required to just start the motion of block A. (ii) If the actual hanging mass is 3.5 kg3.5\,\text{kg}, determine the acceleration of the system after motion begins. (iii) For the situation in part (ii), compute the tension in the string while the blocks are moving.

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