2. Sample Papers
  3. NEET

NEET Sample Paper NEET Sample Test Paper-87

  • question_answer
    A cubical block of side \[30\,\,cm\] is moving with velocity \[2\,\,m{{s}^{-1}}\] on a smooth horizontal surface. The surface has a bump at a point 0 as shown in figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is

    A) 13.3                 

    B)        5.0   

    C) 9.4                   

    D)        6.7

    Correct Answer: B

    Solution :

    [b] Angular momentum, mvr\[=I\omega \] Moment of Inertia (I) of cubical block is given by \[I=m\left( \frac{{{R}^{2}}}{6}+{{\left( \frac{R}{\sqrt{2}} \right)}^{2}} \right)\] \[\therefore \] \[\omega =\frac{m.2\frac{R}{2}}{m\left[ \frac{{{R}^{2}}}{6}+{{\left( \frac{R}{\sqrt{2}} \right)}^{2}} \right]}\] \[\Rightarrow \]\[\omega =\frac{12}{8R}=\frac{3}{2\times 0.3}=\frac{10}{2}=5\,\,rad/s.\]


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