RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    A hollow cylinder and a solid cylinder having same mass and diameter are rolled at inclined plane, then which will reach first at the bottom?

    A)  Both at same time              

    B)  Hollow cylinder                 

    C)  Solid cylinder                    

    D)  Which has more density          

    Correct Answer: C

    Solution :

     Moment of inertia about geometrical axis For hollow cylinder\[({{I}_{H}})=M{{R}^{2}}\] For solid cylinder\[({{I}_{s}})=1/2M{{R}^{2}}\] As no external torque is acting. \[\therefore \] \[\tau =I\omega =\]constant As\[{{I}_{s}}<{{I}_{H}}\]therefore\[{{\omega }_{s}}>{{\omega }_{H}}\] Therefore solid cylinder will reach first at bottom.


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