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(f) What is the maximum angle that the acrobat can lean over without toppling? g) The acrobat can correct for shifts in their balance by

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(f) What is the maximum angle that the acrobat can lean over without toppling? g) The acrobat can correct for shifts in their balance by moving their legs to the sides, as shown in the right- hand gure. Assume that one leg rotates about the hip by 90a, resulting in its mass shifting 0.3 m lower than the original position. What torque does the leg apply about the right-hand edge of the perch pole? Q1. A circus acrobat performs the 'perch' trick, where they balance on a pole high above the ground, as shown in figure 1. The distance from the ground to the perch centre of mass (COM) is 3.5 m, and its mass is 8.0 kg. The distance from the ground to the upper body COM of the acrobat is 5.0 m, and their upper body mass is 45 kg. The centre of mass of one leg is 5.6 in above the ground, the legs are each 0.1 m from the perch/body centre-line, and the mass of each leg is 17 kg. The perch tube that contacts the ground has a circular cross-section with a diameter of 10 cm.Leg COM Leg COM Upper Body COM Body COM Perch Perch COM COM Figure 1: Diagram of the 'perch' trick

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