Design a bowling ball feeding mechanism that is composed of two sections:

1. Motorized gate that allows the passage of one ball only. The motorized gate uses a DC servomotor.
2. Guides: The guides are made of two rods. They have a small angle between them. The balls roll between them by gravity till they fall into another track. Each rod's unsupported length is 30 in and the angle between them is 3 degrees.