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A thin-walled hollow tube rolls without sliding along the floor. The ratio of its translational kinetic energy to its rotational kinetic energy (about an axis through its center of mass) is:

Respuesta :

Answer:1

Explanation:

Thin-walled  hollow tube is rolling without sliding on the floor

Moment of inertia of the hollow cylinder [tex]I=mr^2[/tex]

where m=mass of cylinder

r=radius of cylinder

Rotational Energy of cylinder[tex]=\frac{1}{2}I\omega^2[/tex]

In rolling [tex]\omega =\frac{v}{r}[/tex]

[tex]R.K.E=\frac{1}{2}\times mr^2\times (\frac{v}{r})^2[/tex]

[tex]R.K.E.=\frac{1}{2}mv^2[/tex]

Translational kinetic Energy of Cylinder is given by

[tex]T.K.E.=\frac{1}{2}mv^2[/tex]

Ratio of translational kinetic energy to rotational Kinetic Energy

[tex]=\frac{\frac{1}{2}mv^2}{\frac{1}{2}mv^2}[/tex]

[tex]=1[/tex]

Answer:

1

Explanation:

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