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411
Five masses each of 2 kg are placed on a horizontal circular disc, which can be rotated about a vertical axis passing through its centre and all the masses be equidistant from the axis and at a distance of 10 cm from it. The moment of inertia of the whole system (in g·cm^2) is (Assume disc is of negligible mass)
I = Σ m r^2 = 5*2*(0.1 m)^2 = 0.1 kg·m^2 = 0.1*(10^7) g·cm^2 = 10^6 g·cm^2.
412
Ratio of moment of inertia of two objects 'A' and 'B' is 2:3. Which one of the following is the ratio of torques of 'A' and 'B' respectively, if both are being rotated with constant angular acceleration?
Moment of inertia depends on the mass distribution relative to the axis of rotation, not on angular speed or angular momentum.
414
The moment of inertia of a solid sphere about a diameter is 8000 gm·cm^2 (mass of sphere = 50 gm, radius = 20 cm). The moment of inertia about a tangent will be
Moment of inertia depends on the axis of rotation and mass distribution, not on torque or angular velocity.
416
A wheel whose moment of inertia is 12 kg·m^2 has an initial angular velocity of 40 rad/sec. A constant torque of 20 N·m acts on the wheel. The time in which the wheel is accelerated to 100 rad/sec is
Moment of inertia depends on mass distribution (shape, size, axis), but not on the instantaneous angular velocity.
420
A closed tube partly filled with water lies in a horizontal plane. If the tube is rotated about a perpendicular bisector, the moment of inertia of the system
