A meter stick of negligible mass can rotate about a vertical axis through a point at distant x from the point marked "0". A small block of mass 0.100 kg is glued at the mark of "0" and a small block of mass 0.500 kg is glued at the opposite end, at the mark of "1." The stick and blocks are to rotate with an angular speed of 5.00 rad/min. (a) For what choice of x is the associated rotational kinetic energy least and (b) what is that least erergy?

Explanation

To solve the problem, we will break it down into steps for both parts (a) and (b).

### Step-by-Step Solution

#### Part (a): Finding the value of x for minimum rotational kinetic energy

1. **Understanding the System**:
- We have a meter stick with two blocks:
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