A rod of mass `m` and length `l` is himged about one of its ends. The rod is released from horizontal position. When the rod becomes vertical, calculate (i) angular speed of the rod (ii) Hinge reaction.

Explanation

To solve the problem step by step, we will calculate (i) the angular speed of the rod when it becomes vertical and (ii) the hinge reaction at that moment.

### Step 1: Understand the System
We have a uniform rod of mass \( m \) and length \( l \) hinged at one end. Initially, the rod is horizontal and is released from rest. When the rod becomes vertical, we need to find the angular speed and the hinge reaction.

### Step 2: Conservation of Energy
Since the motion is under the influence of gravity, we can use the principle of conservation of mechanical energy. The potential energy lost by the rod as it falls will be converted into kinetic energy.

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