Math Problem Statement

Answer

Section 2: Angular Momentum: Click on the Angular Momentum simulation. The settings should be: Radius of cylinder = 5 meters; Radius of Person's Path = 5 meters; Mass of Person = 50 kilograms; Mass of Cylinder = 100 kilograms. Record the angular velocity ω. Calculate the total moment of inertia of the cylinder-person system (Hint: Treat the person as a single particle). Calculate the total angular momentum of the system.

Solution

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Math Problem Analysis

Mathematical Concepts

Physics
Rotational Motion
Moment of Inertia
Angular Momentum

Formulas

Moment of inertia for cylinder: I_cylinder = (1/2) * m_cylinder * R^2
Moment of inertia for person: I_person = m_person * r^2
Total angular momentum: L = I_total * ω

Theorems

Conservation of Angular Momentum

Suitable Grade Level

Undergraduate Physics

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