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A uniform chain of length 2m …

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A uniform chain of length 2m is kept on a table shch that a length 60cm hangs freely from the edge of the table . The total mass of the chain is 4 kg . What us work done in pulling the entire chain on the table.
  • 1 answers

Ankit Kumar 8 years, 2 months ago

chain mass intensity per unit length = 4kg/2m

ie.,I= 2kg/m

mass of chain of length hanged from table ie., 60cm = 0.6*2=1.2kg

now weight of 60 cm chain hanged from table = 9.8 * 1.2=11.76 N

now since gravitational force in both sections i.e, 140cm(on table) and 60cm(hanged from table) will be vertical in direction but we will exert force horizontally.

so we will consider only the work done to slide the table edged point of chain( the point on chain positioned at the edge from which the chain is hanged) to side it 60 cm horizontally over table so that the last end of chain also comes on the table

so we will require the force acting horizontall valued equal to the gravitational force to slide it 60cm horizontally.

so work required =11.76*0.6=7.056 Joule

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