JEE Main & Advanced Physics NLM, Friction, Circular Motion Sample Paper Topic Test - Friction

  • question_answer
    The member OA rotates about a horizontal axis through O with a constant counter clockwise velocity \[\omega =3\] \[\text{rad}/\text{sec}\]. As it passes the position\[\theta ={{0}^{o}}\], a small mass m is placed upon it at a radial distance r = 0.5 m. If the mass is observed to slip at \[\theta ={{37}^{o}}\], the coefficient of friction between the mass & the member is:

    A) \[\frac{3}{16}\]          

    B) \[\frac{9}{16}\]        

    C) \[\frac{4}{9}\]                          

    D) \[\frac{5}{9}\]

    Correct Answer: A

    Solution :

    As the mass is at the verge of slipping
    \[\therefore \]      \[mg\sin 37-\mu \,mg\cos 37=m{{\omega }^{2}}r\]
    \[6-8\mu =4.5\]
                \[\therefore \]      \[\mu =\frac{3}{16}\]

You need to login to perform this action.
You will be redirected in 3 sec spinner