A man of mass M hanging with a light rope which is connected with a balloon of mass m. the system is at rest in air. When man rises a distance h with respect to balloon find. The distance raised by man

A man of mass M hanging with a light rope which is connected with a ba

1.	A man of mass M hanging with a light rope which is connected with a balloon of mass m. the system is at rest in air. When man rises a distance h with respect to balloon find. The distance raised by man
Answer» `(mh)/(m+M)` `(Mh)/(m+M)` `(m+M)/(mh)` `(m+M)/(Mh)` Solution :INITIALLY `Y_(com)=(ML)/(M+m)` SINCE no external force is acting `:.` COM should be at rest `Deltay_(CM)=(m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2))` Let baloon DESCENT by a DISTANCE x. `O=(m(x)+M(h-x))/(m+M)` `ML=(m+M)x` `x=(Mh)/(m+M)`(Distance descend by balloon ) `L-x=(mh)/(m+M)`(distance raised by man)