![]() $I_H$ -> Moment of Inertia of Hollow sphere about the axis through its centerĤ. $I_S$ -> Moment of Inertia of Solid sphere about the axis through its center After selecting two distinct axes, you will notice that the object resists the rotational change differently. From this result, we can conclude that it is twice as hard to rotate the barbell about the end than about its center. Moment of Inertia for a solid and hollow sphere about the axis through its center is given by The moment of inertia, as we all know, is affected by the axis of rotation. In the case with the axis at the end of the barbellpassing through one of the massesthe moment of inertia is I 2 m ( 0) 2 + m ( 2 R) 2 4 m R 2. $I_e$ -> Moment of Inertia around perpendicular axis through one endģ. $I_p$ -> Moment of Inertia around perpendicular bisector Moment of Inertia for a thin rectangular rod around perpendicular bisector and perpendicular axis through one end is given by Moment of Inertia calculator for a mass m at distance d from axis of Rotation is given byĢ. SI unit of Moment of inertia is $Kg m^2$ġ. ![]() ![]() For continuous bodies ,moment of inertia about a given line can be obtained using integration technique.For a system consisting of collection of discrete particles ,above equation can be used directly for calculating the moment of inertia. ![]() Where $m_i$ is the mass of the ith particle and $r_i$ is its perpendicular distance from the axis of rotation This calculator will calculate the Moment of Inertia of a bar rotating around its centre and rotating around its end, a cylinder or disc rotating around its.
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