A uniform sphere of mass `m` and radius `r` rolls without sliding over a horizontal plane, rotating ahout a horizontal axle `OA`. In the process, the centre of the sphere moves with a veocity `v` along a circle of radius `R`. Find the kinetic energy of the sphere.

Explanation

To find the kinetic energy of a uniform sphere of mass `m` and radius `r` that rolls without sliding over a horizontal plane while rotating about a horizontal axle `OA`, we can break down the problem into several steps.

### Step-by-Step Solution:

1. **Understanding the Motion**:
The sphere rolls without slipping, which means that the velocity of the center of mass and the angular velocity are related. The center of the sphere moves with a velocity `v` along a circular path of radius `R`.

2. **Relating Angular Velocity and Linear Velocity**:
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