To strengthen his arm and chest muscles, an 84.5kgathlete 1.81m tall is doing a
ID: 1264777 • Letter: T
Question
To strengthen his arm and chest muscles, an 84.5kgathlete 1.81m tall is doing a series of push-ups. His center of mass is 1.17m from the bottom of his feet, and the centers of his palms are 29.3cm from the top of his head. Find the force that the floor exerts on each of his feet and on each hand, assuming that both feet exert the same force and both palms do likewise.
A)Find the force that the floor exerts on each of his feet, assuming that both feet exert the same force. Use the numbers given in the problem instead of from the picture to do this problem
B)Find the force that the floor exerts on each of his hand, both palms exert the same force.
To strengthen his arm and chest muscles, an 84.5kgathlete 1.81m tall is doing a series of push-ups. His center of mass is 1.17m from the bottom of his feet, and the centers of his palms are 29.3cm from the top of his head. Find the force that the floor exerts on each of his feet and on each hand, assuming that both feet exert the same force and both palms do likewise. A)Find the force that the floor exerts on each of his feet, assuming that both feet exert the same force. Use the numbers given in the problem instead of from the picture to do this problem B)Find the force that the floor exerts on each of his hand, both palms exert the same force.Explanation / Answer
W = m*g = 84.5*9.8 = 828.1 N
a)
2Ff + 2Fh -w = 0
Ff = w/2 - Fh = 828.1/2 - 319.34 = 94.71 N
b)
2*Fh*(1.81 -0.293) - w*1.17 = 0
2*Fh*1.517 - 828.1*1.17 = 0
Fh = 319.34 N
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