Physics

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Consider a stainless steel annular disk with an outer radius 68mm and inner radius7.4mm. The mass of the disk is 1349 grams.

The stainless steel annular disk is allowed to rotate on a frictionless table with the rotation axis at its center. The disk has a small cylinder rigidly mounted at the top concentrically. The cylinder's radius is 12.5mm, and the mass of the cylinder is negligible. A string is wrapped around the cylinder, and a hanging mass of19.3 g is tied at the other end of the string. When the mass falls under gravity, it causes the stainless steel annular disk to rotate. Ignoring the string's mass, and assuming that the string's motion is frictionless.

How much distance has the hanging mass been falling by this time? (Considering time is 4.4 seconds after the hanging mass is released from rest)

I am having trouble finding the formula to find the distance of the hanging mass. Am I supposed to use the angular speed or speed of the falling mass at that time?

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