a spring is attached to a cord which gets wrapped to inner circle of wheel and there another spring attached to a cord which gets wrapped to outer circle of wheel. what happens when force is applied? by how much distance does spring moves?

Question

mstoldegon · Answer

Assume the force is applied to the outer wheel and both springs are equal.
   Without knowing the radius of either the inner (call it R2) or outer (call it R1) wheel, the distance and force can only be expressed as a ratio (or percentage or fraction) of the Outer wheel to the Inner wheel. If the inner wheel has a radius 1/2 that of the outer wheel, then the distance the spring attached to the inner wheel moved would be 1/2 (or 50%) of the distance the outer wheel moved. (D2 = D1 x (R2/R1))
   As this is sort of like a lever, the force the inner spring resisted the movement of the wheel would be 1/2 (also 50%) of the force the outer spring resisted the movement. (F2 = F1 x (R2/R1))
   Total force would be F1 + F2.