Mass Center of a sector of a uniform circular plate
Find location of mass center of a sector of a thin uniform plate.

Explanation

To find the location of the mass center of a sector of a thin uniform circular plate, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Problem**:
We have a sector of a thin uniform circular plate with radius \( R \) and subtended angle \( 2\theta \). The mass of the plate is \( m \) and the mass per unit area is \( \sigma \).

2. **Calculate the Area of the Sector**:
...