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From a uniform square plate of side a and mass m, a square portion DEFG of side a2 is removed. Then, the moment of inertia of remaining portion about the axis AB is

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Important Questions on Rotation

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A semicircular 2-dimensional plate of mass m has radius r and centre C. Its centre of mass is at a distance x from C. Its moment of inertia about an axis through its centre of mass and perpendicular to its plane is

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Two point masses m1 and m2 are attached from two ends of a rod of negligible mass. The system is rotated about an axis perpendicular to the length of the rod. The minimum moment of inertia of the system is
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The ratio of the radii of gyration of a circular disc and a circular ring of the same radius about a tangential axis in the plane is
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JEE Main
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If a person standing on a rotating disc stretches out his hands, the angular speed will
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JEE Main
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The angular momentum of a system of particles is conserved
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JEE Main
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If the radius of the earth contracts 1n of its present day value, the length of the day will be approximately
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JEE Main
IMPORTANT
A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity ω. Two objects each of mass m are attached gently to the ring. The wheel now rotates with an angular velocity