A particle is attached to an end of a rigid rod. The other end of the rod is hunged and the rod rotates always remaining horizontal. Its angular speed is increasing at contant rate. The mass of the particle is `m` . The force exerted by the rod on the particle is `vecF` , then:

Options

A. `F ge mg`
B. F is constant
C. The angle between `vec(F)` and horizontal plane decreases
D. The angle between `vec(F)` and the rod decreases

Explanation

To solve the problem, we need to analyze the forces acting on the particle attached to the end of the rigid rod. The rod is rotating in a horizontal plane, and the angular speed is increasing at a constant rate.

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Particle:**
- The particle has two main forces acting on it:
- The gravitational force \( \vec{F_g} = m \vec{g} \) acting downwards (where \( g \) is the acceleration due to gravity).
- The force exerted by the rod on the particle, denoted as \( \vec{F} \).
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