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Three bodies a ring, a solid cylinder and a solid sphere roll down an inclined plane without slipping. They start from rest. Which of the bodies reaches bottom of plane with minimum velocity?
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Important Questions on Rotational Mechanics
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A long slender rod is welded to a thin circular disc of diameter at a point on its circumference. The rod is in the same plane as that of the disc and forms a tangent to the disc. The radius of gyration of the disc about the rod (in ) is
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A mass is supported by a massless string wound around a uniform hollow cylinder of mass and radius . If the string does not slip on the cylinder, then with what acceleration will the mass release? (Assume acceleration due to gravity)
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A rigid body of mass and radius rolls without slipping on an inclined plane of inclination under gravity. Match the type of body Column I with magnitude of the force of friction Column II.
| Column I | Column II | ||
| A) | For ring | I) | |
| B) | For solid sphere | II) | |
| C) | For solid cylinder | III) | |
| D) | For hallow cylinder | IV) | |
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If the earth shrinks to of its original volume, while maintaining the same mass, then the duration of the day will be
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A circular hoop of radius and mass rotating with an angular velocity is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. Let be the velocity of the centre of the hoop when it ceases to slip. The ratio will be
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A thin uniform rod of mass and length is hanged at one end to the ground floor. It originally stands vertically and is allowed to fall to the ground. If the rod hits the ground with angular speed then the correct statement is (Assume )
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A solid sphere of radius makes a perfect rolling down on a plane which is inclined to the horizontal axis at an angle . If the radius of gyration is , then its acceleration is
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A small disc of mass and radius rolls down an inclined plane without slipping. Speed of its center of mass when it reaches the bottom of the incline plane depends on
