A disk of mass m r1 = 60.0 g and radius = 4.50 cm slides on...

 

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A disk of mass m₁ r1 = 60.0 g and radius = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m₂ 140 g, a radius r₂ 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). = = mi mq (a) What is the magnitude of the angular momentum (in kg m²/s) of the two-disk system relative to its center of mass? 0.05586 kg • m²/s (b) What is the angular speed (in rad/s) about the center of mass? 1.446 What is the moment of inertia of a disk about its center? How can you use this and the parallel axis theorem to find the moment of inertia of the disk about the common center of mass of the system? What is the total moment of inertia? How is it related to angular momentum and angular speed? rad/s A disk of mass m₁ r1 = 60.0 g and radius = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m₂ 140 g, a radius r₂ 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). = = mi mq (a) What is the magnitude of the angular momentum (in kg m²/s) of the two-disk system relative to its center of mass? 0.05586 kg • m²/s (b) What is the angular speed (in rad/s) about the center of mass? 1.446 What is the moment of inertia of a disk about its center? How can you use this and the parallel axis theorem to find the moment of inertia of the disk about the common center of mass of the system? What is the total moment of inertia? How is it related to angular momentum and angular speed? rad/s A disk of mass m₁ r1 = 60.0 g and radius = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m₂ 140 g, a radius r₂ 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). = = mi mq (a) What is the magnitude of the angular momentum (in kg m²/s) of the two-disk system relative to its center of mass? 0.05586 kg • m²/s (b) What is the angular speed (in rad/s) about the center of mass? 1.446 What is the moment of inertia of a disk about its center? How can you use this and the parallel axis theorem to find the moment of inertia of the disk about the common center of mass of the system? What is the total moment of inertia? How is it related to angular momentum and angular speed? rad/s A disk of mass m₁ r1 = 60.0 g and radius = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m₂ 140 g, a radius r₂ 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). = = mi mq (a) What is the magnitude of the angular momentum (in kg m²/s) of the two-disk system relative to its center of mass? 0.05586 kg • m²/s (b) What is the angular speed (in rad/s) about the center of mass? 1.446 What is the moment of inertia of a disk about its center? How can you use this and the parallel axis theorem to find the moment of inertia of the disk about the common center of mass of the system? What is the total moment of inertia? How is it related to angular momentum and angular speed? rad/s

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