A thin meter scale is kept vertical by placing its one end on floor, keeping the end in contact stationary, it is allowed to fall. Calculate the velocity of its upper end when it hit the floor.

Explanation

To solve the problem of calculating the velocity of the upper end of a thin meter scale when it hits the floor, we can follow these steps:

### Step 1: Understand the System
We have a thin meter scale of length \( L = 1 \) meter, which is initially vertical and allowed to fall about its lower end, which remains stationary.

### Step 2: Identify the Center of Mass
The center of mass of the meter scale is located at a distance of \( \frac{L}{2} \) from the bottom end. For a meter scale, this distance is \( \frac{1}{2} \) meter.

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