two persons of equal weight are hanging by thier hands from the ends of a rope hung over a frictionless pulley. they begin to climb the ropes. one person can climb twice the speed of other wrt rope. who will get to the top first?

Question

anonymous · Answer

have you the free body diagram?

yrelhan4 · Answer

yes i have. but i dont seem to get where the speed factor will come in.

anonymous · Answer

the distance covered is not the same. if one climbs faster, the other guy might also climb a shorter distance.

yrelhan4 · Answer

so will they get to the top together?

anonymous · Answer

:) you'll have to calculate that. they might.

yrelhan4 · Answer

well i think i got it. without solving. since there is no external force momentum of the system is conserved. and since there masses are equal the rate at which they climb up the rope relative to ground is equal. hence they will reach at the same time. is that fine? correct me if i am wrong.

anonymous · Answer

yup, their velocity relative to the ground is equal.