Torque plays a big role in how stable things are when they spin. Let’s break it down step by step:

1. What is Torque?
   Torque is a way to measure how much turning force is applied to an object. You can think of it like this:

• It’s the distance from the center of the object (called the lever arm) multiplied by the force pushing down on it.
• The formula looks like this:
  $\text{Torque} = \text{Distance} \times \text{Force}$
• When there’s more torque, things spin faster. This faster spinning is called angular acceleration, which is explained by another formula:
  $\text{Torque} = \text{Moment of Inertia} \times \text{Angular Acceleration}$
• The moment of inertia is just a way to measure how much mass is spread out in the object.

2. Keeping Things Balanced:
   When things are perfectly still, all the torques acting on them must balance out to zero. This means if you push on something and create torque, it might start to spin. For example, if you push with a torque of 5 N·m on an object, it might start to turn at a speed of 1 rad/s² if it has a certain amount of mass.

3. How Stability Works:
   Some objects are harder to spin than others. For instance, a heavy cylinder is more stable because its mass is spread out in a way that keeps it steady. The moment of inertia for a solid cylinder with a radius and mass fits a specific formula that helps us say how stable it is against any torque applied.

4. Stability in Motion:
   Where the mass is in an object can impact how likely it is to tip over. If the center of mass is low, the chance of tipping when a torque is applied is less, making it more stable while spinning.

In summary, torque matters a lot in keeping things steady when they rotate. Understanding how it works can help us design and control many moving objects around us.