A 30-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction

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A 30-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and the chain has a density of 5 kg/m. 

a. How much work is required to wind the entire chain onto the cylinder using the winch? 

b. How much work is required to wind the chain onto the cylinder if a 50-kg block is attached to the end of the chain?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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