(II) When a high jumper is in a position such that his arms and lower legs are hanging vertically, and his thighs, trunk, and head are horizontal just above the bar, estimate how far below the torso's median line the CM will be. Will this CM be outside the body? Use Table 7-1.
Solution 56P:
We have to determine whether the location of the center of mass of the high jumper with the data and situation mentioned in the problem is outside the body or not.
Step 1 of 4</p>
Concept:
Center of mass(CM) of a body is an imaginary point at which whole mass of the body is supposed to be concentrated.We consider that the net force acts on the centre of mass of body, insteads of considering that it acts on each and every point on the body for simpler calculation and this is one of the importance of application of CM.
Step 2 of 4</p>
Figure below depicts the position of the high jumper as per mentioned condition.
We use the line of the torso as the origin.
The vertical locations of the centers of mass for each of the segments, as a percentage of the height are
Torso and head
Upper arms
Lower arms
Hands
Upper legs
Lower legs
Feets