This animation works through four practice problems computing torque about a pivot point O, using the formula M = F × d × sin(θ). Each case varies the force magnitude, angle, and distance, including a perpendicular force, two angled forces producing clockwise and counter-clockwise rotation, and a force aimed directly at the pivot yielding zero torque. On-screen text appears in Arabic while equations remain in standard mathematical notation, helping students visualize how geometry affects rotational effect.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
Scene 8: Four Final Graphic Exercises (Problems 8 & 9 - Parts i, ii, iii, iv) Problem 8 (Parts i & ii): Visual Prompt (i): 15 N perpendicular force at 0.20 m from pivot O. PNG Calculation: M = + 15 * 0.20 = +3.0 N·m (Counter-clockwise). PNG Visual Prompt (ii): 30 N force at 45° angle at 0.40 m distance from pivot O, pulling clockwise. PNG Calculation: M = - 30 * 0.40 * sin(45°) = - 30 * 0.40 * 0.707 = -8.49 N·m (Clockwise). PNG Problem 9 (Parts iii & iv): Visual Prompt (iii): 40 N force at 30° angle at 0.60 m distance from pivot O, pulling counter-clockwise. PNG Calculation: M = + 40 * 0.60 * sin(30°) = + 40 * 0.60 * 0.5 = +12.0 N·m (Counter-clockwise). PNG Visual Prompt (iv): 15 N force directed straight toward pivot O along its line of action (distance d = 0). PNG Calculation: Since the line of action passes directly through pivot O, the perpendicular distance d = 0. PNG + 1 Result: M = 0 N·m (No rotation). PNG + 1 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