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The elbow is located at ( 15 , 31 ). The wrist is located at (

30 , 50 ). Where is the center of mass of the forearm for someone
with a segment length percent of 45.74%?

User Kperryua
by
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1 Answer

5 votes

Final answer:

To find the center of mass of the forearm given the positions of the elbow and wrist, we can use the formula (x_cm, y_cm) = (m1*x1 + m2*x2) / (m1 + m2, m1*y1 + m2*y2) / (m1 + m2). Given the segment length percent of 45.74%, we can calculate the mass of the forearm as 0.4574 times the total mass. With this information, we can determine the center of mass.

Step-by-step explanation:

The center of mass of the forearm can be determined by considering the position and mass of the elbow and wrist. Let's denote the position of the elbow as (15, 31) and the position of the wrist as (30, 50). To find the center of mass, we can use the formula:

(xcm, ycm) = (m1x1 + m2x2) / (m1 + m2, m1y1 + m2y2) / (m1 + m2)

Given that the segment length percent is 45.74%, we can calculate the mass of the forearm using this percentage of the total mass. Let's say the total mass is M, then the mass of the forearm would be 0.4574M. With the known positions and masses, we can calculate the center of mass.

User Brandon DeRosier
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