2. A uniform meter stick with a mass of 135 g rotates about an axis perpendicular to the stick passing through the center of the stick with an angular speed of 3.50 rad/s. What is the magnitude of the angular momentum of the stick?

Respuesta :

Answer:[tex]0.0393 kg-m^2/s[/tex]

Explanation:

Given

mass of stick [tex]m=135 gm[/tex]

angular speed of stick [tex]\omega =3.50 rad/s[/tex]

Length of stick [tex]L=1 m[/tex]

Moment of inertia of stick Perpendicular to the stick passing through the center is given by

[tex]I=\frac{mL^2}{12}[/tex]

[tex]I=\frac{0.135\times 1^2}{12}=0.01125 kg-m^2[/tex]

Angular Momentum is [tex]L=I\omega [/tex]

[tex]L=0.01125\times 3.5=0.0393 kg-m^2/s[/tex]