Answer :

(a) 14 kg, lower

(b) 2 kg, upper


Given, The maximum stress the wire can hold,


Area of cross section of upper wire,


Area of cross section of upper wire,


(a)mass of the block, and .


Let the weight of the load be


Now, we analyze the weight on each wire.


The lower wire has a total weight of


Hence, stress on the lower wire is


For maximum load, we take in the maximum stress that the wire can withstand.




The upper wire has a total weight of


Hence, stress on the lower wire is


For maximum load, we take in the maximum stress that the wire can withstand.




As the lower wire will break when the weight exceeds 14 kg, it will break before the upper wire, which can withstand weights up to 18 kg.


(b)mass of the block, and .


Hence, the lower wire has a total weight of


Hence, stress on the lower wire is


For maximum load, we take in the maximum stress that the wire can withstand.




Which is the same as previous case.


The upper wire has a total weight of


Hence, stress on the lower wire is


For maximum load, we take in the maximum stress that the wire can withstand.




Here, the upper wire will break when the weight exceeds 2 kg, it will break before the lower wire, which can withstand weights upto 14 kg.


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