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This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Physics knowledge and support exam preparation. Choose a topic below to get started.
1. |
The moment of inertia of a planar square about a planar axis parallel to one side is 10kgm2. What is the moment of inertia about a diagonal? |
A. | 10kgm<sup>2</sup> |
B. | 5kgm<sup>2</sup> |
C. | 20kgm<sup>2</sup> |
D. | 1kgm<sup>2</sup> |
Answer» B. 5kgm<sup>2</sup> | |
2. |
The moment of inertia of a ring about a tangent is 4kgm2. What is the moment of inertia about an axis passing through the centre of the ring and perpendicular to its plane? Mass of the ring is 2kg & diameter is 2m. |
A. | 2kgm<sup>2</sup> |
B. | 4kgm<sup>2</sup> |
C. | 8kgm<sup>2</sup> |
D. | 1kgm<sup>2</sup> |
Answer» C. 8kgm<sup>2</sup> | |
3. |
What is the moment of inertia of a rod, of mass 1kg & length 6m, about an axis perpendicular to rod s length and at a distance of 1.5m from one end? |
A. | 0.75kgm<sup>2</sup> |
B. | 3kgm<sup>2</sup> |
C. | 5.25kgm<sup>2</sup> |
D. | 14.25kgm<sup>2</sup> |
Answer» D. 14.25kgm<sup>2</sup> | |
4. |
Let I1 be the moment of inertia about the centre of mass of a thick asymmetrical body. Let I2 be the moment of inertia about an axis parallel to I1. The distance between the two axes is a & the mass of the body is m . Find the relation between I1 & I2. |
A. | I<sub>2</sub> = I<sub>1</sub> ma<sup>2</sup> |
B. | I<sub>1</sub> = I<sub>2</sub> ma<sup>2</sup> |
C. | I<sub>2</sub> = I<sub>1</sub> |
D. | Parallel axis theorem can t be used for a thick asymmetrical body |
Answer» C. I<sub>2</sub> = I<sub>1</sub> | |
5. |
The moment of inertia of a planar disc about a diameter is 8kgm2. What is the moment of inertia about an axis passing through its centre and perpendicular to the plane of disc? |
A. | 8kgm<sup>2</sup> |
B. | 16kgm<sup>2</sup> |
C. | 4kgm<sup>2</sup> |
D. | 2 2kgm<sup>2</sup> |
Answer» C. 4kgm<sup>2</sup> | |
6. |
Consider two perpendicular axis in the plane of a planar body, such that I1 = 2 I2. The moment of inertia about an axis perpendicular to the plane and passing through intersection of I1 & I2 is 9kgm2. Find the value of I1& I2. |
A. | I<sub>1</sub> = 9kg m<sup>2</sup>, I<sub>2</sub> = 4.5kgm<sup>2</sup> |
B. | I<sub>1</sub> = 3kg m<sup>2</sup>, I<sub>2</sub> = 6kg m<sup>2</sup> |
C. | I<sub>1</sub> = 6kg m<sup>2</sup>, I<sub>2</sub> = 3kg m<sup>2</sup> |
D. | I<sub>1</sub> = 18kg m<sup>2</sup>, I<sub>2</sub> = 9kg m<sup>2</sup> |
Answer» D. I<sub>1</sub> = 18kg m<sup>2</sup>, I<sub>2</sub> = 9kg m<sup>2</sup> | |
7. |
Perpendicular axis theorem can be applied for which of the following bodies? |
A. | Ring having radius R & negligible cross section |
B. | Disc of radius R and thickness t |
C. | Cylinder of radius R and height h |
D. | A cube of side a |
Answer» B. Disc of radius R and thickness t | |
8. |
A planar body is lying in the xz plane. What is the relation between its moment of inertia along the x, y & z axes? |
A. | I<sub>z</sub> = I<sub>x</sub> + I<sub>y</sub> |
B. | I<sub>x</sub> = I<sub>x</sub> + I<sub>z</sub> |
C. | I<sub>y</sub> = I<sub>x</sub> + I<sub>z</sub> |
D. | I<sub>z</sub> = I<sub>x</sub> = I<sub>y</sub>, because body is planar |
Answer» D. I<sub>z</sub> = I<sub>x</sub> = I<sub>y</sub>, because body is planar | |