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4. A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia of 820 kgm². The platform rotates without friction at an angular velocity of 0.95 rad/s. The person walks radially towards the edge of the platform. Calculate the following; a) the angular velocity when the person reaches the edge. b) the rotational kinetic energy of the system (platform and person) before and after the person walks. (Assume the person acts like a point mass.)

4. A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia of 820 kgm². The platform rotates without friction at an angular velocity of 0.95 rad/s. The person walks radially towards the edge of the platform. Calculate the following; a) the angular velocity when the person reaches the edge. b) the rotational kinetic energy of the system (platform and person) before and after the person walks. (Assume the person acts like a point mass.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3. A nonrotating cylindrical disk 1 of moment of inertia l, is dropped onto rotating disk 2 with moment of inertia l2 and angular velocity w2. Assume there are no external torques. What is the final common angular speed of the two disks if the disks are a) different? b) identical? 4. A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia of 820 kgm². The platform rotates without friction at an angular velocity of 0.95 rad/s. The person walks radially towards the edge of the platform. Calculate the following; a) the angular velocity when the person reaches the edge. b) the rotational kinetic energy of the system (platform and person) before and after the person walks. (Assume the person acts like a point mass.) 5. A merry-go-round (diameter 4.2 m) is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1360 kgm². Four people standing on the ground, each with a mass of 65 kg, suddenly step onto the merry-go-round. a) What is the new angular velocity? b) What would happen to the angular velocity if the peoplle were initially on it and then stepped off in a radial direction?
Transcribed Image Text:3. A nonrotating cylindrical disk 1 of moment of inertia l, is dropped onto rotating disk 2 with moment of inertia l2 and angular velocity w2. Assume there are no external torques. What is the final common angular speed of the two disks if the disks are a) different? b) identical? 4. A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia of 820 kgm². The platform rotates without friction at an angular velocity of 0.95 rad/s. The person walks radially towards the edge of the platform. Calculate the following; a) the angular velocity when the person reaches the edge. b) the rotational kinetic energy of the system (platform and person) before and after the person walks. (Assume the person acts like a point mass.) 5. A merry-go-round (diameter 4.2 m) is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1360 kgm². Four people standing on the ground, each with a mass of 65 kg, suddenly step onto the merry-go-round. a) What is the new angular velocity? b) What would happen to the angular velocity if the peoplle were initially on it and then stepped off in a radial direction?
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