Question
Hard
Solving time: 4 mins
Find location distance from point of mass center of a sector of a thin uniform plate of the shape of a sector of a circular disc of radius as shown in figure enclosing an angle at center.
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Consider an elemental arc of radius and width as shown in figure
If we consider as the surface mass density of the disc then the mass of the is given as
Due to symmetry of mass center of mass of this arc must be on the angle bisector i.e. on -axis at distance . (This is result of previous problem we are using here) Now center of mass of the sector is given as
If we consider as the surface mass density of the disc then the mass of the is given as
Due to symmetry of mass center of mass of this arc must be on the angle bisector i.e. on -axis at distance . (This is result of previous problem we are using here) Now center of mass of the sector is given as
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Question Text | Find location distance from point of mass center of a sector of a thin uniform plate of the shape of a sector of a circular disc of radius as shown in figure enclosing an angle at center. |
Updated On | Nov 28, 2022 |
Topic | System of Particles and Rotational Motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 191 |
Avg. Video Duration | 12 min |