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 TT of oscillation is related to the length LL 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