Answer to Question #249454 in Classical Mechanics for aisme

Question

A 750 N athlete is doing a push-up exercise by putting his palms and toes on the floor. The athlete’s center of mass is 15 cm from his palms. The horizontal distance between his toes and palms is 120 cm. Assume the posture of the athlete as a rigid body,

(a) sketch a free body diagram of the athlete.

(b) calculate the force acting on each of his palms.

Answer 1

a)

b)

$2F_2l_2=F_1l_1,$

$2F_2+F_1=P,$ $\implies$

$F_2=\frac{Pl_1}{2(l_1+l_2)}=328~N.$