A yo-yo of total mass m consists of two solid cylinders of radius R, connected by a small

Question Description
A yo-yo of total mass m consists of two solid cylinders
of radius R, connected by a small spindle of negligible mass and
radius r. The top of the string is held motionless while the string
unrolls from the spindle. Show that the acceleration of the yo-yo
is g/(1 + R2/2r2). [Hint: The acceleration and the tension in the
string are unknown. Use τ = ΔL/Δt and F = ma to determine
these two unknowns.]


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