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 O as shown in the figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is :

Question

A cubical block of side 30 &#160; cm is moving with velocity 2 &#160; m &#160; s - 1 on a smooth horizontal surface. The surface has a bump at a point O as shown in the figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is :

Aicharya · Accepted Answer

Conservation of angular momentum about point

O

,

L_{before} = L_{after}

\Rightarrow m v R = I ω

\Rightarrow ω = \frac{m \times 2 \times [\frac{a}{2}]}{m [\frac{a^{2}}{6} + {(\frac{a}{\sqrt{2}})}^{2}]}

\Rightarrow ω = \frac{12}{8 a} = \frac{3}{2 \times 0 .3} = \frac{10}{2} = 5

rad s^{- 1}

A cubical block of side 30   cm is moving with velocity 2   m   s - 1 on a smooth horizontal…

Solution

A cubical block of side 30 &#160; cm is moving with velocity 2 &#160; m &#160; s - 1 on a smooth horizontal…

Solution

A cubical block of side 30 cm is moving with velocity 2 m s - 1 on a smooth horizontal…