To strengthen his arm and chest muscles, an 77.0 k g athlete 2.00 m tall is doin

Question

To strengthen his arm and chest muscles, an 77.0kgathlete 2.00m tall is doing a series of push-ups as shown in the figure below (Figure 1) . His center of mass is 1.10m from the bottom of his feet, and the centers of his palms are 30.0cm 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.

B) Find the force that the floor exerts on each of his hand, both palms exert the same force.

Explanation / Answer

let force exerted on each pal be Fp

let force exerted on each feet be Ff

so 2Ff + 2Fp = 77*9.8 =

Ff + Fp = 377.3.................................................1)

balancing torque

2*Ff*1.1 = 2*Fp*0.6

Fp = 1.83 Ff

a)put in eq 1

Ff =377.3/2.83

Ff =133.32 N ........................................................2)

b) put 2 in 1

Fp = 243.98 N

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