Solve the Maximum Height of Body 1 Puzzle!

[badbit]

http://img9.imagepile.net/img9/30498problem.gif

After hours of thinking I can't solve this problem:
The system of the figure is motionless.Then body 2 is released, arriving to the ground in 2 seconds.
The pulley and the rope have no weight, and there is no friction.
Find the maximum height that is going to be reached by the base of the body 1.

 

[CompuChip]

Hi, welcome to PF badbit.

Can the rope shrink or grow? Otherwise, why wouldn't it be 4 meters?
(I'm probably missing something here, what does this have to do with dynamics?)

 

[saket]

Question is fine, "CompuChip". You need to take a coffee-break. [No pun intended.]
I don't know if the rope can grow, but obviously it can shrink.. or better use, get loose/slack!

But yes, I too have doubts, if this question has got really something to do with dynamics!

Use, 2 sec to find the speed of the bodies when body 2 arrives to the ground. (Note both bodies will have same speed till this moment.) After this the rope goes slack, as body 1 continues to move upwards due to inertia. Now, either apply conservation of energy or same kinematics equations, to obtain the furthr height attained by body1.

 

[CompuChip]

Ah, now I see it. I just needed some sleep I guess