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22 Aug 2011 21:42:23 IST

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Steel wire of lenght ?L? at 40°C is suspended from the ceiling and then a mass ?m? is hung from its freeend. The wire is cooled down from 40°C to 30°C to regain its original length ?L?. The coefficient of linearthermal expansion of the steel is 10-5/°C, Young?s modulus of steel is 1011 N/m2 and radius of the wire is 1mm. Assume that L diameter of the wire. Then the value of ?m? in kg is nearly

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Sagar Saxena

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Joined: 8 Oct 2008

Posts: 7221

25 Aug 2011 12:34:04 IST

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given that ,

change in length of the wire is remains unchange

Hence it is equlibirium

equate the thermal stress is in upward direction and stress by force 'mg' is in downward direction

now find the equation

F/A=YdT =>mg/A=1011*10*10. 5

from here you can find the value of mass m

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