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Three identical balls are tied by light strings to the same vertical light rod and rotate around it with the same angular velocity, as shown below. a) What is the ratio of the rotational kinetic energy of the first ball to the rotational kinetic energy of the second ball, to the rotational kinetic energy of the third ball? Demonstrate the answer in a form of KE1 : KE2 :KE3 b) Imagine, during the rotation, the second string broke and second ball got removed from the system. If the masses of the balls are 100g each and initial angular velocity (before string broke) was 10 rpm, what is the new angular velocity, when only first and third balls remain rotating? c) Where is the center of mass of this system is located? 1 m ball 1 2 m ball 2 3 m ball 3

Three identical balls are tied by light strings to the same vertical light rod and rotate around it with the same angular velocity, as shown below. a) What is the ratio of the rotational kinetic energy of the first ball to the rotational kinetic energy of the second ball, to the rotational kinetic energy of the third ball? Demonstrate the answer in a form of KE1 : KE2 :KE3 b) Imagine, during the rotation, the second string broke and second ball got removed from the system. If the masses of the balls are 100g each and initial angular velocity (before string broke) was 10 rpm, what is the new angular velocity, when only first and third balls remain rotating? c) Where is the center of mass of this system is located? 1 m ball 1 2 m ball 2 3 m ball 3

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Three identical balls are tied by light strings to the same vertical light rod and rotate around it with the same angular velocity, as shown below. a) What is the ratio of the rotational kinetic energy of the first ball to the rotational kinetic energy of the second ball, to the rotational kinetic energy of the third ball? Demonstrate the answer in a form of KE1 : KE2 :KE3 b) Imagine, during the rotation, the second string broke and second ball got removed from the system. If the masses of the balls are 100g each and initial angular velocity (before string broke) was 10 rpm, what is the new angular velocity, when only first and third balls remain rotating? c) Where is the center of mass of this system is located? 1 m ball 1 2 m ball 2 3 m ball 3
Transcribed Image Text:Three identical balls are tied by light strings to the same vertical light rod and rotate around it with the same angular velocity, as shown below. a) What is the ratio of the rotational kinetic energy of the first ball to the rotational kinetic energy of the second ball, to the rotational kinetic energy of the third ball? Demonstrate the answer in a form of KE1 : KE2 :KE3 b) Imagine, during the rotation, the second string broke and second ball got removed from the system. If the masses of the balls are 100g each and initial angular velocity (before string broke) was 10 rpm, what is the new angular velocity, when only first and third balls remain rotating? c) Where is the center of mass of this system is located? 1 m ball 1 2 m ball 2 3 m ball 3
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