elishalieblein3554 elishalieblein3554
  • 18-11-2020
  • Physics
contestada

What is the rotational inertia in units of kgm2 of a long thin rod of mass 1.0 kg and length 0.6 m if it rotates about one of its ends?

Respuesta :

Muscardinus Muscardinus
  • 23-11-2020

Answer:

[tex]I=0.12\ kg-m^2[/tex]

Explanation:

Given that,

Mass of a thin rod, m = 1 kg

Length of the rod, l = 0.6 m

We need to find the rotational inertia of the rod if it rotates about one of its ends. It can be given by the formula as follows :

[tex]I=\dfrac{1}{3}ML^2\\\\I=\dfrac{1}{3}\times 1\times (0.6)^2\\\\=0.12\ kg-m^2[/tex]

So, the moment of inertia of the rod about one of its ends is [tex]0.12\ kg-m^2[/tex].

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