One of the more challenging elements in pairs figure skatingcompetition is the death spiral (see the figure
Question:
One of the more challenging elements in pairs figure skatingcompetition is the \"death spiral\" (see the figure below), in whichthe female figure skater, balanced on one skate, is spun in acircle by the male skater.
A pair of figure skaters executing a death spiral maneuver isshown. The body of the female skater is extended outward from theoutstretched arm of her partner as she circles around him.
The axis of rotation of the pair is vertical and through the toeof the skate on the male skater\'s leg that is bent backward, thetoe being planted into the ice. During the one-armed maneuver firstdeveloped in the 1940s, the outstretched arm of the male skatermust apply a large force to support a significant fraction of thefemale skater\'s weight and also to provide her centripetalacceleration. This force represents a danger to the structure ofthe wrist of the male skater.
(a)
Modeling the female skater, of mass 49.0 kg, as aparticle, and assuming that the combined length of the twooutstretched arms is 128 cm and that arms make anangle of 45.0° with the horizontal, what is the magnitude ofthe force (in N) exerted by the male skater\'s wrist if each turn iscompleted in 2.00 s?
N
(b)
How does this force compare to that on one wrist ofa 71.0 kg person preparing to do chin-ups by hanging froman exercise bar from the wrists?
Fmale skater\'s wrist |
Fone wrist of 71.0 kg person |
=