This animation walks through two worked problems on circular motion: finding the string tension at the lowest point of a vertical circle, and analyzing a ball moving inside a smooth conical bowl. It shows how to combine centripetal force with gravity and normal reaction using free-body diagrams, then solves step by step for tension, normal force, speed, and period. Arabic on-screen text explains each stage while formulas remain in standard mathematical notation, making it useful for exam preparation in rotational dynamics.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
Scene 4: Exam-Style QuestionOn-Screen Title: Exam-Style Question: Tension at the Lowest Point Question: A small ball of mass $0.50\text{ kg}$ is tied to a string and moves in a vertical circle of radius $0.80\text{ m}$. At the lowest point, its speed is $4.0\text{ m/s}$. Find the tension in the string at the lowest point. Answer:Formula: $T = \frac{mv^2}{r} + mg$ Calculation: $T = \frac{0.50 \times (4.0)^2}{0.80} + (0.50 \times 9.8) = 10 + 4.9 = \mathbf{14.9\text{ N}}$ Scene 7: Exercise (c)On-Screen Title: Exercise (c): Motion Inside a Conical BowlQuestion: A small ball of mass $m$ undergoes uniform circular motion at height $h$ inside a smooth conical bowl. Find: (i) Normal reaction force $N$, (ii) Speed $V$ in terms of $h$ and $g$, (iii) Period $T$ in terms of $h$, $\theta$, and $g$.Answer:(i) Normal reaction force: $N = \frac{mg}{\cos\theta}$(ii) Speed: $V = \sqrt{gh \tan^2\theta}$(iii) Period: $T = \frac{2\pi h \tan\theta}{V}$ 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