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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. A disc of radius r has a hole of radius r/2 cut-out as shown. The centro id of the remaining disc (shaded portion) at a radial distance from the centre ‘O’ is
    1. r/2
    2. r/3
    3. r/6
    4. r/8
Correct Option: C

New area = πr2 - π(r/2)2

=
3πr2
4

Distance from centre to new centro id
x =
πr2 × 0 - π(r/2)2 × r/2
3πr2
4

=
- r
6

∴ x =
r
(away from centre)
6



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