Calculating Torque With Angled Forces

Four worked practice problems show how to calculate torque (moment) when a force acts on a rod at varying distances and angles from a pivot. Each case applies M = F·L·sin(θ), demonstrating how perpendicular versus angled forces change the result, and how sign conventions indicate counter-clockwise or clockwise rotation. Useful for physics students learning rotational equilibrium and torque calculations, with Arabic on-screen explanations paired with unchanged mathematical notation.

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The prompt that made it

Scene 6: Four Practice Problems (Problem 4 - Parts A, B, C, D)Problem 4-A:Visual Prompt: Horizontal rod of length 0.20 m with a perpendicular upward force of 3.0 N at right end, pivot O at left end. Voiceover & Step-by-Step Breakdown:Calculation: M = + 3.0 N * 0.20 mResult: +0.60 N·m (Counter-clockwise). Problem 4-B:Visual Prompt: Inclined rod with 4.0 N force acting along a 45° angle at distance 0.30 m from pivot O. Voiceover & Step-by-Step Breakdown:Calculation: M = + F * L * sin(θ) = + 4.0 * 0.30 * sin(45°) = + 4.0 * 0.30 * 0.707Result: +0.85 N·m (Counter-clockwise). Problem 4-C:Visual Prompt: Inclined rod with 2.0 N force directed leftward at 30° angle at distance 0.40 m from pivot O. Voiceover & Step-by-Step Breakdown:Calculation: M = + 2.0 * 0.40 * sin(30°) = + 2.0 * 0.40 * 0.5Result: +0.40 N·m (Counter-clockwise). Problem 4-D:Visual Prompt: Inclined rod with 4.0 N force pushing downward at 60° angle at distance 0.20 m, causing clockwise rotation. Voiceover & Step-by-Step Breakdown:Calculation: M = - 4.0 * 0.20 * sin(60°) = - 4.0 * 0.20 * 0.866Result: -0.69 N·m (Clockwise). IMPORTANT LANGUAGE RULE: All on-screen text must be in Arabic EXCEPT mathematical equations, formulas, laws, symbols, variables, and numerical expressions. Keep every equation, formula, and law exactly as provided, without translating or changing it. Translate only the explanatory text, headings, labels, and descriptions into Arabic. Arabic text must use proper RTL direction and correct Arabic typography. Do not use English text anywhere else on the screen. Audience: student

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• Show how net torque is found when two forces act simultaneously on the same rod.
• Animate the condition for rotational equilibrium where the sum of torques equals zero.
• Demonstrate how changing the pivot point location affects the calculated torque value.