Answer to Question #333746 in Classical Mechanics for Blaze

Question

Q.3 A block of wood A of mass 10 kg is held on a rough horizontal table. An elastic string

connected to the block passes over a smooth pulley at the end of the table and then under a second smooth pulley carrying a body B of mass 5 kg as shown in Fig

The other end of the string is fixed to a point above the second pulley. When the 10 kg block is released, it moves with an acceleration of g/9. Determine the value of coefficient of friction between the block and the table.

https://imgur.com/a/4oSOLx2 (figure's image link)

Answer 1

$\mu=\frac{m_1a}{m_2a+m_1g}=0.11.$