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Ruler Length and Pitch of Vibration

A steel ruler clamped to a table by a textbook is flicked to vibrate, showing how its free length controls the frequency of oscillation. With 20 cm extending, the ruler hums at a low pitch; shortened to 12 cm, it vibrates faster and the pitch rises, shown with glowing waveform overlays. The animation makes visible how reducing length increases stiffness and shortens the vibration period, useful for students studying simple harmonic motion, cantilever beams, or resonance.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Visual Prompt for AI Video Generator: Prompt: A high-detail 3D animation of a student in a classroom setting placing a flat steel ruler on a wooden table, pressed down firmly by a heavy physics textbook. The free end extends 20 cm off the edge. A finger presses the tip down and releases it: the ruler vibrates rapidly up and down, creating a visible motion blur and producing a deep humming sound frequency. Next, the ruler is pushed inward so only 12 cm extends; when flicked again, it vibrates much faster with a visibly higher pitch sound wave overlay in glowing blue HUD lines. Text overlay: "Shorter Length = Higher Pitch". Educational 3D animation, photorealistic lighting, 4k resolution. English Voiceover & Text: Voiceover: "When a clamped ruler is deflected and released, it vibrates up and down, emitting a steady tone. Shortening the free extending length causes it to oscillate much faster, raising the pitch of the hum. Even though the ruler's material remains unchanged, reducing its length increases its effective stiffness, altering the fundamental period of vibration." Audience: student

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