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unscientific
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Homework Statement
A string attached to the center of a rod with radius R has a mass attached at the other end, moving with speed v0. Because of acceleration due to gravity the mass moves down while undergoing circular motion, causing the string to wrap around the rod. Find an expression for the time taken for the string to completely wrap around the rod.
Homework Equations
v = rw
The Attempt at a Solution
-constant tangential velocity since acceleration due to gravity acts only downwards
-w = v/r, so as the string wraps around the rod, the angular velocity increases
w(t) = v0/r(t)
-w(t) is the same along all lengths of the string
-tried to figure out dr/dt, but to no avail
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