JEE Advanced Model Paper 6 with solutions for online practice

A man with mass M has its string attached to one end of a spring which can move without friction along a horizontal overhead fixed rod. The other end of the spring is fixed to a wall. The spring constant is k. The string is massless and inextensible andit maintains a constant angle θ with the overhead rod, even when the man moves. There is friction with coefficient µ between the man and the ground. What is the maximum distance (in m) that the man moving slowly can stretch the spring beyond its naturallength?