The vine has a fixed end, so Tarzan's path is circular. So the vine must not only support Tarzan's weight (or some component of it) but must also provide centripetal force to curve Tarzan's velocity. At Tarzan's lowest point, this can be expressed as:.

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?