NEET Sample Paper NEET Sample Test Paper-14

  • question_answer 11) A block of mass 8 kg rests on a rough inclined plane of angle\[{{30}^{o}}\]and\[\mu =\frac{3}{4}\]between the block and the plane. The value of the force of friction is: [Take\[g=10\,m/{{s}^{2}}\]]

    A)  51.96 N                     

    B)  40 N

    C)  28 N                          

    D)  54.8 N

    Correct Answer: B

    Solution :

    Limiting friction \[={{f}_{L}}=\mu \,mg\,\cos {{30}^{o}}=51.96\,N\]But \[mg\sin {{30}^{o}}<{{f}_{L}},\]so friction is static in nature and the block it not moving. Therefore, \[F=mg\sin {{30}^{o}}=40N.\] Hence, the correction option is [b].

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