The moment of inertia of a solid sphere is 10kgm 2. What is the moment of inertia of a rod about an axis passing through the centre and perpendicular to its central axis? Given that mass of rod is 1kg, length = 10cm.Ĭlarification: Let the moment of inertia be I.Īnd M & I be the mass and length of rod respectively.ĥ. Radius of gyration ‘k’ is given by the expression: I = Mk 2Ĥ. Find its radius of gyration.Ĭlarification: Moment of inertia of disc = MR 2/2 = 10*1/2 = 5kgm 2. A solid disc has a mass of 10kg and radius 1m. And hence, it has more moment of inertia.ģ. Thus, the summation of product of mass and perpendicular distance from the axis squared of each particle will be more for the hollow cylinder. Which one will have the greater moment of inertia about the central axis?Ĭlarification: The hollow one will have greater density as both have the same mass and it has to be distributed uniformly. Two cylinders have the same mass and radius. As the body having a particular value of moment of inertia can achieve any value of angular velocity depending on the torque applied on it.Ģ. But, it doesn’t depend on the angular velocity. It depends on perpendicular distance hence, it will depend on orientation and distance of particles from the axis. Moment of inertia, of a spinning body about an axis, doesn’t depend on which of the following factors?Ĭlarification: Moment of inertia is the summation of product of mass and perpendicular distance from the axis squared of each particle. Physics Multiple Choice Questions on “Moment of Inertia”.ġ.
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