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Torque, Lever Arm, And Rotation Sign

A 3D animation shows a rigid body rotating about a fixed point O while a force F acts at angle theta along an arm of length L. A perpendicular line from O to the force's line of action reveals the lever arm d = L sin(theta), building the torque equation M = Fd = FL sin(theta). The body spins counter-clockwise for positive torque and clockwise for negative torque, helping students connect force direction, angle, and rotational sign convention.

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The prompt that made it

Scene 3: Scientific Law & Vector AnalysisVisual Prompt: A 3D physics animation illustrating a rigid body rotating around a fixed point O. A force vector F is applied at an angle theta to an arm of length L. A right-angle line drops from point O perpendicular to the force's line of action, highlighting the effective lever arm d = L sin(θ). The object rotates counter-clockwise with a glowing green positive sign (+), then clockwise with a glowing red negative sign (-). On-Screen Text: Torque Equation: M = Fd = FL sin(θ) | Counter-clockwise: (+) | Clockwise: (-). Voiceover / Text:"Torque measures the rotational effectiveness of a force around an axis. It equals force multiplied by the perpendicular distance to the force's line of action: M = F times d. When applied at an angle theta, the lever arm becomes d = L sin(θ), yielding M = F L sin(θ). By convention, counter-clockwise rotation produces positive torque (+), while clockwise rotation yields negative torque (-)." 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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