KE of rolling motion is `K to ` Rotational KE of the system about CM of the system

Options

A. `K + Mv _(CM ) ^(2) // 2`
B. `K - Mv _(CM ) ^(2) //2`
C. `K + Mv _(CM) ^(2)`
D. `K - M v _(CM ) ^(2)`

Explanation

To solve the problem of finding the rotational kinetic energy of a rolling object given its total kinetic energy \( K \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Total Kinetic Energy**:
The total kinetic energy \( K \) of a rolling body is the sum of its translational kinetic energy and its rotational kinetic energy. This can be expressed mathematically as:
\[
K = K_{\text{trans}} + K_{\text{rot}}
...