- 1(current)
Q. No.A block of mass \(m\) is suspended from two identical springs connected in series, each having a spring constant \(k.\) The angular frequency, of small vertical oscillations of the block, is:
| 1. | \(\sqrt{\dfrac{2k}{m}}\) | 2. | \(\sqrt{\dfrac{k}{2m}} \) |
| 3. | \(2{\sqrt{\dfrac{k}{m}}}\) | 4. | \({\dfrac12\sqrt{\dfrac{k}{m}}}\) |
Subtopic: Â Combination of Springs |
 78%
Level 2: 60%+
Hints
A block of mass \(m\) is attached to two fixed light springs of identical stiffness \(k,\) and the block rests on the \(x\text-y\) plane. The springs are along the \(x\) & \(y\) axes. The system is viewed from above. The block undergoes small oscillations along a line which makes \(45^\circ\) with the \(x\text-\)axis. The angular frequency of these oscillations is:
1. \(\sqrt{\Large\frac{2k}{m}}\)
2. \(\sqrt{\Large\frac{\sqrt2k}{m}}\)
3. \(\sqrt{\Large\frac{2\sqrt2k}{m}}\)
4. \(\sqrt{\Large\frac{k}{m}}\)
1. \(\sqrt{\Large\frac{2k}{m}}\)
2. \(\sqrt{\Large\frac{\sqrt2k}{m}}\)
3. \(\sqrt{\Large\frac{2\sqrt2k}{m}}\)
4. \(\sqrt{\Large\frac{k}{m}}\)
Subtopic: Â Combination of Springs |
Level 4: Below 35%
Hints
- 1(current)
Q. No.
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