A block of mass `m_1` is lying on the edge of a rough table. The coefficient of friction between the block and the table is `mu`. Another block of mass`m_2` is lying on another horizontal smooth table. The two block are connected by a horizontal spring of force constant K. Block of mass `m_2` is pulled to the right with a constant horizontal force F. (a) Find the maximum value of F for which the block of mass m1 does not fall off the edge. (b) Calculate the maximum speed that `m_2` can acquire under condition that `m_1` does not fall.

Answer

`(a) (mum_(1) g)/2 `
(b) `(mum_(1)g)/2 1/(sqrt(m_(2)k))`