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  1. AP Physics 1 Revised
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What is the effect of increasing the distance of mass from the axis of rotation?

Increasing the distance increases the rotational inertia, making it harder to change the object's rotational motion.

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What is the effect of increasing the distance of mass from the axis of rotation?

Increasing the distance increases the rotational inertia, making it harder to change the object's rotational motion.

What happens to rotational inertia when an axis of rotation is shifted away from the center of mass?

The rotational inertia increases. This is described by the parallel axis theorem.

What is the effect of a figure skater pulling their arms in during a spin?

Pulling their arms in decreases the distance of their mass from the axis of rotation, decreasing their rotational inertia and increasing their angular speed.

How do you calculate the total rotational inertia for multiple objects?

Calculate the rotational inertia (I=mr2I = mr^2I=mr2) for each object and then sum them: Itot=∑I=∑mr2I_{tot} = \sum I = \sum mr^2Itot​=∑I=∑mr2.

What are the steps to apply the parallel axis theorem?

  1. Identify IcmI_{cm}Icm​ (inertia about the center of mass). 2. Determine 'd' (distance between the parallel axis and the center of mass axis). 3. Calculate I′=Icm+Md2I' = I_{cm} + Md^2I′=Icm​+Md2.

What is the effect of increasing the distance of mass from the axis of rotation?

Increases the rotational inertia.

What is the effect of increasing the mass of an object on its rotational inertia?

Increases the rotational inertia.

What happens if a rigid body rotates about its center of mass?

The rotational inertia is minimized.

What is the effect of applying a torque to an object with a high rotational inertia?

The object will experience a smaller angular acceleration.

What happens if the axis of rotation is shifted away from the center of mass?

The rotational inertia increases, as described by the parallel axis theorem.