JEE Main & Advanced Physics Elasticity Question Bank Critical Thinking

  • question_answer
    One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight \[{{W}_{1}}\] is suspended from its lower end. If S is the area of cross-section of the wire, the stress in the wire at a height 3L/4 from its lower end is                           [IIT 1992]

    A)             \[\frac{{{W}_{1}}}{S}\]      

    B)             \[\frac{{{W}_{1}}+(W/4)}{S}\]

    C)             \[\frac{{{W}_{1}}+(3W/4)}{S}\]

    D)               \[\frac{{{W}_{1}}+W}{S}\]

    Correct Answer: C

    Solution :

    Total force at height \[3L/4\] from its lower end = Weight suspended + Weight of 3/4 of the chain \[={{W}_{1}}+(3W/4)\] Hence stress \[=\frac{{{W}_{1}}+(3W/4)}{S}\]    


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