# Simulation - Rotational Motion

## The Basics of Rotational Motion

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• how long it takes for the object to go around the circle once (period);
• how many revolutions the object can complete in one second (frequency);
• how many radians the object can cover per second (angular velocity).

## Torque

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Drag the seesaw to change the angle.
The force can be adjusted by dragging its tip, and it can be moved by dragging its tail.
Calculations will appear here.

## Moment of Inertia

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Drag the objects to different location and use the sliders to adjust their mass.
Calculations will appear here.

## Conservation of Angular Momentum

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Both objects have mass $m=1kg$ and are separated from the center by distance $r$. Adjust $r$ to see how the angular velocity changes, while the total angular momentu stays the same (conservation of angular momentum), obeying $L = I \omega$.
Note $I = 2 m r^2$, where the factor of 2 comes from the fact that there are 2 masses on the bar, with each mass contributing $I_{one\ mass} = m r^2$.
Calculations will appear here.

## Rolling Down an Incline

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Drag on the surface of the incline to change the angle.
The length of the track is $20m$. The mass of each object is $1kg$.
$I_{disk} = \frac{1}{2} m r^2, I_{ring} = m r^2$.

#### Activity

Work out the energy of each object at the bottom.
Can you explain why the block arrives at the bottom first, followed by the disc and then the ring?