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A particular gyroscope is made by taking two long, skinny, solid cylinders affixed along their long axes to the center of a short, wide, solid cylinder. The mass of each long, skinny cylinder is 5g, and these cylinders have a radius of 3.0mm. The short, wide cylinder has a mass of 350g and a radius of 5cm. a. What is the moment of inertia for the gyroscope? b. A light string is wound around one of the skinny cylinders and pulled with a force of 10.0N with no resistance to the resulting rotation. What angular acceleration results? c. If the force is applied for 2.Os as the string unwinds, what is the final angular velocity? Assume the gyroscope starts from rest. d. How much work was done on the gyroscope? e. What is the final angular momentum?

A particular gyroscope is made by taking two long, skinny, solid cylinders affixed along their long axes to the center of a short, wide, solid cylinder. The mass of each long, skinny cylinder is 5g, and these cylinders have a radius of 3.0mm. The short, wide cylinder has a mass of 350g and a radius of 5cm. a. What is the moment of inertia for the gyroscope? b. A light string is wound around one of the skinny cylinders and pulled with a force of 10.0N with no resistance to the resulting rotation. What angular acceleration results? c. If the force is applied for 2.Os as the string unwinds, what is the final angular velocity? Assume the gyroscope starts from rest. d. How much work was done on the gyroscope? e. What is the final angular momentum?

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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A particular gyroscope is made by taking two long, skinny, solid cylinders affixed along their long axes to the center of a short, wide, solid cylinder. The mass of each long, skinny cylinder is 5g, and these cylinders have a radius of 3.0mm. The short, wide cylinder has a mass of 350g and a radius of 5cm. a. What is the moment of inertia for the gyroscope? b. A light string is wound around one of the skinny cylinders and pulled with a force of 10.0N with no resistance to the resulting rotation. What angular acceleration results? c. If the force is applied for 2.0s as the string unwinds, what is the final angular velocity? Assume the gyroscope starts from rest. d. How much work was done on the gyroscope? e. What is the final angular momentum?
Transcribed Image Text:A particular gyroscope is made by taking two long, skinny, solid cylinders affixed along their long axes to the center of a short, wide, solid cylinder. The mass of each long, skinny cylinder is 5g, and these cylinders have a radius of 3.0mm. The short, wide cylinder has a mass of 350g and a radius of 5cm. a. What is the moment of inertia for the gyroscope? b. A light string is wound around one of the skinny cylinders and pulled with a force of 10.0N with no resistance to the resulting rotation. What angular acceleration results? c. If the force is applied for 2.0s as the string unwinds, what is the final angular velocity? Assume the gyroscope starts from rest. d. How much work was done on the gyroscope? e. What is the final angular momentum?
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