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Q. No.A uniform square plate has a small piece \(Q\) of an irregular shape removed and glued to the center of the plate leaving a hole behind in the figure. Then the moment of inertia about the \({z}\text -\)axis is:
| 1. | increased |
| 2. | decreased |
| 3. | the same |
| 4. | changed in an unpredictable manner |
Subtopic: Â Moment of Inertia |
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With reference to the figure of a cube of edge \(a\) and mass \(m,\) the following statements are given. (\(O\) is the centre of the cube).
| (a) | The moment of inertia of the cube about the \(z\)-axis is \(I_z=I_x+I_y\) |
| (b) | The moment of inertia of the cube about the \(z'\)-axis is \({I_z}'=I_z+\frac{{ma}^2}{2}\) |
| (c) | The moment of inertia of the cube about \(z''\)-axis is = \(=I_z+\frac{{ma}^2}{2}\) |
| (d) | \(I_x=I_y\) |
| 1. | (a, c) | 2. | (a, d) |
| 3. | (b, d) | 4. | (b, c) |
Subtopic: Â Moment of Inertia |
Level 3: 35%-60%
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