Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 7.48 rad/s. The mass m of each object and its perpendicular distance r from the z axis are as follows: (1) m1 = 7.80 kg and r1 = 5.20 m, (2) m2 = 3.10 kg and r2 = 2.90 m, (3) m3 = 3.50 kg and r3 = 4.70 m. Find the tangential speed of (a) object 1, (b) object 2, and (c) object 3. (d) Determine the total kinetic energy of this system using the expression (e) Find the rotational kinetic energy of the system using the relation to verify that the answer is the same as that in (d).

Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 7.48 rad/s. The mass m of each object and its perpendicular distance r from the z axis are as follows: (1) m1 = 7.80 kg and r1 = 5.20 m, (2) m2 = 3.10 kg and r2 = 2.90 m, (3) m3 = 3.50 kg and r3 = 4.70 m. Find the tangential speed of (a) object 1, (b) object 2, and (c) object 3. (d) Determine the total kinetic energy of this system using the expression (e) Find the rotational kinetic energy of the system using the relation to verify that the answer is the same as that in (d).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 45PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...

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