Math Problem Statement
The period of the oscillation of the acrobat on the trapeze is 3.8 s. Calculate the distance between the point of suspension of the trapeze and the centre of mass of the acrobat. Assume that the acrobat is a point mass and that the system behaves as a simple pendulum.
Solution
In this problem, we can model the trapeze system as a simple pendulum, where the period of oscillation is related to the length of
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Math Problem Analysis
Mathematical Concepts
Simple Harmonic Motion
Pendulum Motion
Oscillations
Formulas
T = 2π√(L/g)
L = gT^2 / (4π^2)
Theorems
Simple Pendulum Theorem
Suitable Grade Level
Grades 9-12
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