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A 77-kg person standing is standing on one foot on a very smooth gym floor. He i

ID: 2202914 • Letter: A

Question

A 77-kg person standing is standing on one foot on a very smooth gym floor. He is lifting his body by pivoting his foot upwards through a 30.0? angle, balancing all of his weight on the ball of the foot. The forces on the bones from the rest of his body are due to the Achilles tendon and the ankle joint as shown in the figure. The Achilles tendon acts perpendicular to a line through the eel and toes; it is this line that has rotated upward through 30.0?. Assume that the weight of the foot is negligible compared with that of the rest of the body. (c) Find the horizontal and vertical components of the force that the ankle joint exerts on the foot.

Explanation / Answer

the weight of the body acts on the ankle joint in the vertical direction and the tension in the achilles tendon acts perpendicular to the dotted line and let it be T take moment of the two forces about the ball of the foot T*(16+4.5)=77*9.81*cos(30)*16 T=510.57 N

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