A block A of m ass rests on a horizontal table. A lig h t strin g connected to it passesover a frictionless pulley at the edge of table an d from its other end another block B of mass m_(2) is su sp en d e d . The co efficien t of k in eticfriction between the block and the table is mu_(k) hen the block A is sliding on the table, the ten sio n in the string i s :

A block A of m ass rests on a horizontal table. A lig h t strin g conn

1.	A block A of m ass rests on a horizontal table. A lig h t strin g connected to it passesover a frictionless pulley at the edge of table an d from its other end another block B of mass m_(2) is su sp en d e d . The co efficien t of k in eticfriction between the block and the table is mu_(k) hen the block A is sliding on the table, the ten sio n in the string i s :
Answer» `(m_(2)-mu_(K)m_(1)g)/(m_(1)+m_(2))` `(m_(1)mu_(2)m(1+mu_(k))g)/(m_(1)+m_(2))` `(m_(1)mu_(2)m(1-mu_(k))g)/(m_(1)+m_(2))` `(m_(2)+mu_(k)m_(1)g)/(m_(1)+m_(2))` SOLUTION :For themotionof bothblocks `m_(2) g - T -m_(2)a` `T-mu_(2)m_(1) g = m_(1) a` `RARR a= ((m_(2) -mu_(k)m_(1))g)/(m_(1) + m_(2))` Forthe blockon MASS`m_(2)` `m_(2) g - T= m_(2) [(m_(2)- mu_(k) m_(1))/(m_(1) +m_(2))] g` `rArr = (m_(1)m_(2)(1+mu_(k))g)/( m_(1)+m_(2))`