So the mass of the disc would be equal to the mass of hemisphere upon the volume of hemisphere into the volume of the disc, that is
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Where
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So by using the theorem of the parallel axis we can calculate the moment of inertia of the solid hemisphere about an axis.
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Where is the moment of inertia of the disc about its center of mass.
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By integrating both sides we get
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\n\n\n\n\n\n"},"encodingFormat":"text/html","position":1,"text":""},"comment":{"@type":"Comment","text":"Use the concept of a theorem of the parallel axis."},"eduQuestionType":"Multiple choice","encodingFormat":"text/markdown","learningResourceType":"Practice problem","suggestedAnswer":[{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":0,"text":""},{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":2,"text":""},{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":3,"text":""}],"text":"
A solid hemisphere has the moment of inertia about axis (Diameter of hemisphere)
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Embibe Experts Solutions for Exercise 7: EXERCISE 6.7
Author:Embibe Experts
Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Exercise 7: EXERCISE 6.7
Attempt the free practice questions from Exercise 7: EXERCISE 6.7 with hints and solutions to strengthen your understanding. Gamma Question Bank for Engineering Physics solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Exercise 7: EXERCISE 6.7 with Hints & Solutions
A square plate is of mass and length of edge equal to . Its about its centre of mass axis, perpendicular to its plane is equal to . Four identical disks are cut from the plane. The of leftover square about same axis is