Math Problem Statement

Consider the pendulum in the figure provided: construct the equations of motion from Newton's Second Law (NII) in polar coordinates. Remember to include the tension in the rod.

Solution

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Math Problem Analysis

Mathematical Concepts

Classical Mechanics
Polar Coordinates
Newton's Laws of Motion

Formulas

Newton's Second Law: F = ma
Polar coordinates: Radial acceleration = -l(d²θ/dt²), Tangential acceleration = l(dθ/dt)²

Theorems

Newton's Second Law

Suitable Grade Level

Undergraduate Physics

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