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Systems of Part...

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  • Question 1
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    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 opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity

  • Question 2
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    A straight rod of length L has one of its ends at the origin and the other at x = L. If the mass per unit length of the rod is given by Ax where A is constant, where is its mass centre?

  • Question 3
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    A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ωA and ωB respectively.Then

  • Question 4
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    A disc starting from rest acquires in 10 sec an angular velocity of 240 revolutions/minute. Its angular acceleration (assuming constant) is

  • Question 5
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    Four sphere of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is

  • Question 6
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    A rigid body of mass m rotates with the angular velocity w about an axis at a distance \'a\' from the centre of mass G. The radius of gyration about G is K. Then kinetic energy of rotation of the body about new parallel axis is

  • Question 7
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    A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then

  • Question 8
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    The rectangular block shown in the figure is rotated in turn about x - x, y - y and z - z axis passing through its centre of mass 0. Its moment of inertia is

  • Question 9
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    From an inclined plane a sphere a disc, a ring and a spherical shell are rolled without slipping. The order of their reaching at the base will be

  • Question 10
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    A wheel of moment of inertia 5 × 10–3 kg–m2 is making 20 revolutions/sec. The torque required to stop it in 10 sec is

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