1. Starting from rest, a constant force F=100N is applied to the free end of a 50-m cable wrapped around the outer rim of a uniform solid cylinder. The cylinder has mass 4.00 kg and diameter 30.0 cm and is free to turn about a fixed, frictionless axle through its center. (a) How long does it take to unwrap all the cable, and (b) how fast is the cable moving just as the last bit comes off? Show complete solution.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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Problem 45P: Review. An object with a mass of m = 5.10 kg is attached to the free end of a light string wrapped...
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1. Starting from rest, a constant force F=100N is applied to the free end of a 50-m cable wrapped around the outer rim of a uniform solid cylinder. The cylinder has mass 4.00 kg and diameter 30.0 cm and is free to turn about a fixed, frictionless axle through its center.

(a) How long does it take to unwrap all the cable, and

(b) how fast is the cable moving just as the last bit comes off?

Show complete solution.

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