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

  • question_answer
       Two bodies of weight 100 N and 200 N are resting on two smooth inclined planes. The bodies are connected by a rope passing over a pulley at the junction of the planes. If inclination of planes is \[30{}^\circ \] and \[45{}^\circ ,\] then the tension in the rope will be:   

    A) 80 N                            

    B) 100 N           

    C) 200 N               

    D) 300 N

    Correct Answer: A

    Solution :

    \[200a/g={{W}_{2}}\,\sin 45{}^\circ -T=100\sqrt{2}-T\] \[100a/g=T-{{W}_{1}}\,\sin 30{}^\circ =T-50\] Comparing, we get T=80 N


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