The top shown in the figure is initially rotationally at rest, and has a moment

Question

The top shown in the figure is initially rotationally at rest, and has a moment of inertia 4.00x10-4 kg m2. It rotates frictionlessly about axis AA?, which we assume remains vertical. A constant force 5.57 N is maintained. What is its angular velocity after 80 cm of string has been pulled off the peg? Hint: the radius r of the spool atop the top will fall out if you do this correctly.

The top shown in the figure is initially rotationally at rest, and has a moment of inertia 4.00x10-4 kg m2. It rotates frictionlessly about axis AA?, which we assume remains vertical. A constant force 5.57 N is maintained. What is its angular velocity after 80 cm of string has been pulled off the peg? Hint: the radius r of the spool atop the top will fall out if you do this correctly.

Explanation / Answer

=I=Fr

=Fr/I

for 0.80 m, =0.8/r

so 2=2

=2 = 0.8*F/I = 105.546 rad/s

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