JEE Main & Advanced Sample Paper JEE Main - Mock Test - 17

  • 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

    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 wire \[={{W}_{1}}+(3W/4)\] Hence stress \[=\frac{{{W}_{1}}+(3W/4)}{S}\]


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