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A thin uniform rod of length l is initia...

A thin uniform rod of length `l` is initially at rest with respect to an inertial frame of reference. The rod is tapped at one end perpendicular to its length. How far the centre of mass translates while the rod completes one revolution about its centre of mass. Neglect gravitational effect.

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To solve the problem step by step, we will analyze the motion of the rod after it is tapped and how far the center of mass translates while the rod completes one full revolution about its center of mass. ### Step 1: Understanding the System We have a thin uniform rod of length \( l \) that is initially at rest. When tapped at one end, it begins to rotate about its center of mass. The center of mass of the rod is located at its midpoint, which is at a distance of \( \frac{l}{2} \) from either end. **Hint:** Identify the center of mass of the rod and understand the effect of the impulse applied at one end. ### Step 2: Impulse and Change in Momentum ...
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