JEE Main & Advanced Sample Paper JEE Main - Mock Test - 10

  • question_answer
    A solid sphere of radius 2 m rolls without slipping on horizontal surface. Centre of mass has velocity \[{{v}_{0}}=4\text{ }m/s\]and acceleration \[10\text{ }m/{{s}^{2}}\] as shown in figure, then acceleration at point P is

    A) \[5\hat{i}-4\hat{j}\]       

    B) \[-5\hat{i}+4\hat{j}\]

    C) \[10\hat{i}+4\hat{j}\]    

    D) \[10\hat{i}-4\hat{j}\]

    Correct Answer: B

    Solution :

    [b] \[\alpha ={{a}_{0}}/r=10/2=5\,rad/{{s}^{2}}\] \[{{({{a}_{P,g}})}_{t}}=-10\hat{i}+5\hat{i}=-5\hat{i}\] \[{{({{a}_{P,g}})}_{n}}={{\omega }^{2}}r'=\frac{v_{0}^{2}}{{{r}^{2}}}\times r'=\frac{4\times 4}{2\times 2}\times 1=4\] \[\overrightarrow{a}=-5\hat{i}+4\hat{j}\]


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