For given values of angular speed and acceleration due to gravity, find the position (latitude) where acceleration due to gravity is
`(a)` Maximum and `(b)` Minimum

Explanation

To find the position (latitude) where the acceleration due to gravity is maximum and minimum, we can analyze the effect of the Earth's rotation on the effective gravitational force experienced at different latitudes.

### Step-by-Step Solution:

1. **Understanding the Forces**:
- The gravitational force acting on an object at the surface of the Earth is given by \( F_g = mg \), where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity.
- When the Earth rotates, the object experiences a centripetal force due to the rotation, which reduces the effective gravitational force felt by the object.

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