Chain falls, scale gives reading

AIEEE 2015 Online › Mechanics questions › Chain falls, scale gives reading

A chain of mass M and length l is suspended vertically with its
lowest end touching a scale. The chain is released and falls onto the
scale.
What is the reading of the scale when a length of chain, x, has fallen?
(Neglect the size of individual links.)

#Physics #Mechanics

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4 Answers

13

Avik ·2009-12-16 08:24:15

Mgx/2l ...?

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1

AD ·2009-12-16 08:35:22

Dunno....don't remember the answer..would you care to elaborate?

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1

Anirudh Kumar ·2009-12-17 01:29:37

Weight of part of chain already on the scale = Mxg/L .....1

now velocity of the small part ( dm) which falls instantly on the scale = √2gx

thus impulse on the scale = dm √2gx

=> F.dt=dm √2gx (f=impulsive force)
=> F= (M/L)*dx/dt*(√2gx)
=>F= v²M/L
=>f=2gxM/L .............2

thus net force = 3Mgx/L

thus reading = 3MxL

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1

AD ·2009-12-17 05:27:05

yeah that's correct.....except of course a typo in the last line

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