Final answer:
The question relates to Physics, specifically the application of Newton's laws and trigonometric principles to find the tensions in a tightrope system in static equilibrium.
Step-by-step explanation:
The student's question involves determining the magnitudes of the tensions in a rope for a tightrope walker following a circular path, assuming the system is static. This is an exercise in applying Newton's laws and trigonometric principles to solve for forces in a static equilibrium scenario. The central concept is that the left and right tensions, T₁ (left tension) and Tᵒ (right tension), must be equal because there is no horizontal acceleration, indicating a balance of forces. To find the tensions, one can use trigonometry, considering the upward components of tension that support the tightrope walker's weight, while the wire's weight is negligible.