Question

Yo-Yo man releases a yo-yo from rest and allows it to drop, as he keeps the top end of the string stationary. The mass of the yo-yo is 0.056 kg, its moment of inertia is 2.9 X 10^-5 kg X m^2 and the radius r of the axle the string wraps around is 0.0064 m. Through what height must the yo-yo fall for its linear speed to be 0.60 m/s?

Answer 1

mgh=1/2 mv^2+1/2 *I w^2

but w=v/r
mgh=1/2 mv^2+1/2 *I*v^2/r^2

YOu know m,g, I ,r solve for v

Answer 2

h= 0.25