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Gymnast's Forces: Ring Hold and Floor Support
Chapter 5, Problem 31(choose chapter or problem)
Before practicing his routine on the rings, a 67-kg gymnast stands motionless, with one hand grasping each ring and his feet touching the ground. Both arms slope upward at an angle of 24 above the horizontal. (a) If the force exerted by the rings on each arm has a magnitude of 290 N, and is directed along the length of the arm, what is the magnitude of the force exerted by the oor on his feet? (b) If the angle his arms make with the horizontal is greater that 24, and everything else remains the same, is the force exerted by the oor on his feet greater than, less than, or the same as the value found in part (a)? Explain.
Questions & Answers
QUESTION:
Before practicing his routine on the rings, a 67-kg gymnast stands motionless, with one hand grasping each ring and his feet touching the ground. Both arms slope upward at an angle of 24 above the horizontal. (a) If the force exerted by the rings on each arm has a magnitude of 290 N, and is directed along the length of the arm, what is the magnitude of the force exerted by the oor on his feet? (b) If the angle his arms make with the horizontal is greater that 24, and everything else remains the same, is the force exerted by the oor on his feet greater than, less than, or the same as the value found in part (a)? Explain.
ANSWER:Step 1 of 3
The force vectors acting on the gymnast are depicted in the figure below
The force with which the rings act on his hands is known \(\left(F_{1}, F_{2}\right)\), the angle that the hands make in relation to the horizontal \((\theta)\). We also know that the gymnast acts on the ground with his weight \((W=m \cdot g)\), now it is necessary to determine the normal force \((N)\).
What we observe is the y component of the resulting force.
\(\begin{array}{l}F_1=290\mathrm{\ N}\\ F_2=290\mathrm{\ N}\\ m=67\mathrm{\ kg}\\ \theta=24^{\circ}\end{array}\)
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Gymnast's Forces: Ring Hold and Floor Support
Want To Learn More? To watch the entire video and ALL of the videos in the series:
Join us as we explore the dynamic world of gymnastics and the forces at play. In this video, we analyze a gymnast's routine on the rings, calculating the forces involved. Learn how the gymnast's body interacts with the rings and the floor, and discover how changes in arm angles affect the forces. Dive into the physics of human movement and gymnastics.