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  4. A metre stick is pivoted about its centre. A piece of wax of mass 20 g travelling horizontally and perpendicular to it at 5 m / s strikes and adheres to one end of the stick so that the stick starts to rotate in a horizontal circle. Given the moment of inertia of the stick and wax about the pivot is 0.02 kg m 2, the initial angular velocity of the stick is

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Q. A metre stick is pivoted about its centre. A piece of wax of mass $20\, g$ travelling horizontally and perpendicular to it at $5\, m / s$ strikes and adheres to one end of the stick so that the stick starts to rotate in a horizontal circle. Given the moment of inertia of the stick and wax about the pivot is $0.02\, kg\, m ^{2}$, the initial angular velocity of the stick is

System of Particles and Rotational Motion

Solution:

image
$L=l \omega$
$\frac{20}{1000} \times 5 \times \frac{l}{2}=0.02\, \omega$
$\omega=2.5\, rad / s$