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Classical Mechanics

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Block on a Table/Hanging Block

CLMECH-ME9AGG

Blocks A and B are connected by a non-stretchable mass-less rope and arranged with block A resting on a table and block B hanging off the edge of the table, as shown in the figure below. The rope connecting blocks A and B passes over a massless, frictionless pulley.

Block A has a mass of $m_A = 3\space kg$ and block B has a mass of $m_B = 2\space kg$. If block B falls with an acceleration of $2.0\space m/s^2$, what is the coefficient of kinetic friction between block A and the table?

A

$0.33$

B

$0.49$

C

$0.53$

D

$0.80$

E

$9.6\space N$