Question

Please draw the forces acting on the free body diagram if necessary and answer the question clearly. Thank you.

M/2 Two skaters A and B with identical masses M, skate with iden win identical masses M, skate with identical speeds V along parallel paths on an ice rink. A carries a long light (massless) pole of length L which is held paranda the paths of the skaters as shown in the figure. When the two SK ess) pole of length L which is held parallel to the ice and perpendicular to the rod. was as shown in the figure. When the two skaters pass each other, B grabs the free end of (a) Describe the subsequent motion of the two skaters. (b) Show that the angular speed of the system is 2v L (c) If the skaters were NOT of identical mass, briefly describe the motion of the system. Q =

Answer 1

a)onserrahin of Linear momentum befare and aftr grabing e pae by skater B.- Linear momantum of cemter of mo before grabing. since speeds ae in oppoik direchion 4 Mosses ane egual Mv -Mv ere fere final linear momentum Hene cemter of mass will not mone symmehical Case due o disibution of moss tLe In this that is center of pela Center of Stros Angulor momentum is also consenved Not Angulor momentum about center mas initialk (clockwise) Li= MvL + MUL 2 Lj MVL Hence after grabing also angular momendun idl be So the sytem wiol not have linear speed but widl hare rotational speed horefore center of pole both skalers wil rotate about he b) Moment of Inertia of systen about center of pol (center of mor) MM

Let ongular speed b Angular momendum To MUL MLoMVL (C) In is case center ot mass widl not be af center of pole (not ot h) Further ineax momentum will not be zeso Hence the centur of mass will have lineor speed and the skatens will move ot differert rodius in cirular path