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Two thin circular dises of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length 1= √24 a through their centers. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is . The angular momentum of the entire assembly about the point 'O' is L (see the figure). Which of the following statement(s) is (are) true? Am

Two thin circular dises of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length 1= √24 a through their centers. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is . The angular momentum of the entire assembly about the point 'O' is L (see the figure). Which of the following statement(s) is (are) true? Am

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Q.7 Two thin circular dises of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length 1= √24 a through their centers. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is . The angular momentum of the entire assembly about the point 'O' is L (see the figure). Which of the following statement(s) is (are) true? m 4m (A) The center of mass of the assembly rotates about the z-axis with an angular speed of o/5 (B) The magnitude of angular momentum of center of mass of the assembly about the point O is 81 ma³a The magnitude of angular momentum of the assembly about its center of mass is 17 ma²o/2 (D) The magnitude of the z-component of L is 55 ma² w
Transcribed Image Text:Q.7 Two thin circular dises of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length 1= √24 a through their centers. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is . The angular momentum of the entire assembly about the point 'O' is L (see the figure). Which of the following statement(s) is (are) true? m 4m (A) The center of mass of the assembly rotates about the z-axis with an angular speed of o/5 (B) The magnitude of angular momentum of center of mass of the assembly about the point O is 81 ma³a The magnitude of angular momentum of the assembly about its center of mass is 17 ma²o/2 (D) The magnitude of the z-component of L is 55 ma² w
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