Block A with mass mA rests on a horizontal tabletop, while block B with mass mB hangs from a string of negligible mass that passes over a pulley and attaches to block A, as shown above. The pulley has negligible mass and rotates with negligible friction about its axle. The blocks are at rest due to friction between block A and the tabletop. The tension in the string while the blocks are at rest has magnitude T1, and the coefficient of static friction between block A and the tabletop is μ (mu).   (A) A student claims the magnitude of the frictional force acting on block A must be equal to μmAg. Briefly explain why the student’s claim is incorrect.   (B)Block B is given a quick downward push so that block A begins accelerating across the tabletop and block B accelerates toward the floor. The tension in the stri

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Chapter1: Units, Trigonometry. And Vectors
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Block A with mass mA rests on a horizontal tabletop, while block B with mass mB hangs from a string of negligible mass that passes over a pulley and attaches to block A, as shown above. The pulley has negligible mass and rotates with negligible friction about its axle. The blocks are at rest due to friction between block A and the tabletop. The tension in the string while the blocks are at rest has magnitude T1, and the coefficient of static friction between block A and the tabletop is μ (mu).

 

(A) A student claims the magnitude of the frictional force acting on block A must be equal to μmAg. Briefly explain why the student’s claim is incorrect.

 

(B)Block B is given a quick downward push so that block A begins accelerating across the tabletop and block B accelerates toward the floor. The tension in the string while the two-block system accelerates is T2. How does T2 compare to T1 ? Explain your reasoning.

 

(C)After block B falls a distance , the blocks have speed v1. In a second trial, the pulley of negligible mass is replaced with a different pulley whose mass is not negligible, and the process described in part (b) is repeated. After block B again falls a distance d, the blocks have speed v2. In a clear, coherent, paragraph-length response, explain how v1 and v2 compare.

 

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