A 60 m long chain hangs vertically from a cylinder attached to a winch Assume there is no friction in the system and that the

Question

A 60 m long chain hangs vertically from a cylinder attached to a winch Assume there is no friction in the system and that the chain has a density of 6 kg m Use 9 8 m s2 for the acceleration due to gravity a Set up the integral that gives the work required to wind the entire chain onto the cylinder using the winch Use increasing limits of integration 60 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 40 kg block is attached to the end of the chain 6 9 8 60 y dy 0 Type exact answers 60 The amount of work required is 105840 J Type an integer or a decimal b Set up the integral that gives the work required to wind the chain onto the cylinder if a 40 kg block is attached to the end of the chain Use increasing limits of integration ugy 40y dy 0 Type exact answers

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