- #1
Avi Nandi
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Homework Statement
A Yo-Yo of mass M has an axle of radius b and a spool of radius R. Its moment of inertia can be taken to be MR[itex]^{2}[/itex]/2 and the thickness of the string can be neglected. The Yo-Yo is released from rest. The center of the Yo-Yo descends distance h before the string is fully unwound. Assuming it reverses direction with uniform spin velocity, find the average force on the string when the Yo Yo turns around.
Homework Equations
v=bα v = linear velocity of the yoyo. α= angular velocity of the yoyo.
[itex]\frac{1}{2}[/itex]Mv[itex]^{2}[/itex] + [itex]\frac{1}{2}[/itex]Iω[itex]^{2}[/itex] = Mgh
The Attempt at a Solution
From the constraint equation and the energy conservation I calculated final ω. Now change in angular momentum is 2Iω. Now I can't find the average force from here.