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Railways NTPC (Technical Ability) Engineering Mechanics and Strength of Materials Question Bank Engineering Mechanics

  • question_answer
                At what height from the base of a pillar must the end of a rope of length/ be fixed so that a man standing on the ground and pulling it at the other end may have the greatest tendency to overturn the pillar:     

    A) \[l/2\]                            

    B) \[l\,/3\]

    C) \[l\,\text{/}\sqrt{\text{2}}\]                     

    D) \[3\,l\,/4\]

    Correct Answer: C

    Solution :

    \[M=T\cos \,{{({{l}^{2}}-{{h}^{2}})}^{1/2}}.h=Th\,{{({{l}^{2}}-{{h}^{2}})}^{1/2}}\] \[dM/dh\text{ }=\text{ }0\text{ }gives\text{ }h\text{ }=\text{ }l/V2\]


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