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Mass Center of a sector of a uniform cir...

Mass Center of a sector of a uniform circular plate
Find location of mass center of a sector of a thin uniform plate.

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To find the location of the mass center (centroid) of a sector of a thin uniform plate, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Geometry**: - Consider a sector of a uniform circular plate with a radius \( R \) and an angle \( 2\theta \). - The mass center will be located along the axis of symmetry, which is the y-axis in this case. Thus, \( y_{cm} = 0 \). ...
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Knowledge Check

  • In the figure shown, find out centre of mass of a system of a uniform circular plate of radius 3R from O in which a hole of radius R is cut whose centre is at 2R distance from the centre of large circular plate

    A
    (a) `R/2`
    B
    (b) `R/5`
    C
    (c) `R/4`
    D
    (d) None of these
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