A thin rod of length and mass is bent at its midpoint into two halves so that the angle between them is . The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is:
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A wheel has an angular acceleration of rad/s2 and an initial angular speed of rad/s. In a time of s, it has rotated through an angle (in radians) of:
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A uniform rod of length and mass is free to rotate about point . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about is the initial angular acceleration of the rod will be:
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A particle of mass moves in the XY plane with a velocity along the straight line AB. If the angular momentum of the particle with respect to the origin is when it is at and when it is at then:
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3. | the relationship between and depends upon the slope of the line |
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The moment of inertia of a uniform circular disc of radius and mass about an axis touching the disc at its diameter and normal to the disc is:
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A uniform rod of length and mass is free to rotate in a vertical plane about . The rod, initially in the horizontal position, is released. The initial angular acceleration of the rod is: (Moment of inertia of the rod about is )
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A solid cylinder of mass and radius is rotating about its axis at the rate of The torque required to stop after revolutions is:
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A disc of radius and mass rolls on a horizontal floor. Its centre of mass has a speed of . How much work is needed to stop it?
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The ratio of the radii of gyration of a circular disc to that of a circular ring, each of the same mass and radius, around their respective axes is:
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