Static equilibrium for a rope on a spool. Same as A+55+5.

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(A)Mechanics - A+60: Statics and Mechanical Equilibrium

Static Equilibrium of a Spool. Tension = T = mg. If T is not too large, the spool will roll without slipping. It will reach equilibrium at angle given by: sin(theta)= R1 / R2. If T is increased, the spool will start to slip, but the angle will stay the same. Derivation: Equilibrium: F = T sin(theta) Rotation: F R1 = T R1 Divide one equation by the other: 1/ R2 = sin(theta) / R1. Table Stand R1= 94mm R2= 203mm
UCB Index: 
A+60+35
PIRA Index: 
1K10.30
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A+60+32 Center of gravity (toy) objects.
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A+60+37 Rotation about the center of mass: Object to throw.