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Walk the Spool
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== Why This Works == The spool will roll one way or another based on a few factors: which direction you pull the string in, and which side of the spool the pulled string is wrapped around. This is because the spool rolls in accordance to the ''Torque'', or rotational force it experiences. The torque applied can be measured using this equation: {| class="wikitable" style="color:black; background-color:#ddd; text-align: left; margin-right: auto" |+ Torque |'''Ο''' = '''r''' '''''F''''' sin '''ΞΈ''' |- | '''Ο''': Torque |- | '''r''': Radius from axis |- | '''''F''''': Force applied |- | sin '''ΞΈ''': Angle of applied force |} In this equation, we can note that the radius and applied force are inversely proportional to each other. However, you might notice that the length of the string available does not seem to affect the amount of force you have to apply. This is because the radius, '''r''', is in regards to the distance from the axis. The axis is in the center of the spool, and the applied force from the string is always the same distance from the center. Since the string is adhered to the side of the spool, it always applies the force at the same radius from the center. When you pull on the string, the angle of the applied force is affected by two factors: which direction you pull the string in, and where the string is at on the spool when you pull. * When you pull on the string, you are pulling in a single direction relative to the spool. This pull is perpendicular to the axis of rotation for the spool, which means the force will be applied along a side of the spool. * The side of the spool that the string is across will result in a direction for the movement. This is independent of which direction you pull the string in; rather, it is dependent solely on which way the string is already wrapped around the spool. When trying to determine which way the spool will roll, one can best predict the movement by using the ''Right Hand Rule'': {| class="wikitable" style="color:black; background-color:#ddd; text-align: left; margin-right: auto" |+ Right Hand Rule | Thumb: Axis of rotation |- | Index: Direction of applied force |- | Curled: Rotation of spool |} By using the right hand rule, you can determine which direction the spool will move in by determining the direction of the applied force. To do so, you can follow this guide: {| class="wikitable" style="color:black; background-color:#ddd; text-align: left; margin-right: auto" | '''String on the Spool''': ''Index Position'' | '''Direction of String''': ''Thumb Position'' | '''Result''': ''Curled Fingers Position'' |- | Wrapped Clockwise Point Left | Pull Left Inward | Rolls Left, Unwinds Clockwise Curl |- | Wrapped Clockwise Point Left | Pull Right Outward | Rolls Right, Rewinds Counterclockwise Curl |- | Wrapped Clockwise Point Left | Pull Up Up | Stops at 30 deg Angle Towards Left Curl Inward |- | Wrapped Counterclockwise Point Right | Pull Left Inward | Rolls Left, Rewinds Counterclockwise Curl |- | Wrapped Counterclockwise Point Right | Pull Right Outward | Rolls Right Clockwise Curl |- | Wrapped Counterclockwise Point Right | Pull Up Up | Stops at 30 deg Angle Towards Right Curl Outward |- | Unwrapped Up | Pull Left Inward | Starts to Wind Counterclockwise Counterclockwise Curl |- | Unwrapped Up | Pull Right Outward | Starts to Wind Clockwise Clockwise Curl |- | Unwrapped Up | Pull Up Left Or Right | No Movement Curl Perpendicular to Axis |}
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