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Q. No.| 1. | \(7.5~\text m\) | 2. | \(10~\text m\) |
| 3. | \(2.5~\text m\) | 4. | \(5~\text m\) |
| 1. | \(W_1=W_2=W_3\) | 2. | \(W_1>W_2>W_3\) |
| 3. | \(W_1>W_3>W_2\) | 4. | \(W_1<W_2<W_3\) |
A mass \(m\) is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:
| 1. | inclined at an angle of \(60^{\circ}\) from vertical. |
| 2. | the mass is at the highest point. |
| 3. | the wire is horizontal. |
| 4. | the mass is at the lowest point. |
A body initially at rest and sliding along a frictionless track from a height \(h\) (as shown in the figure) just completes a vertical circle of diameter \(\mathrm{AB}= D.\) The height \({h}\) is equal to:
| 1. | \({3\over2}D\) | 2. | \(D\) |
| 3. | \({7\over4}D\) | 4. | \({5\over4}D\) |
What is the minimum velocity with which a body of mass \(m\) must enter a vertical loop of radius \(R\) so that it can complete the loop?
1. \(\sqrt{2 g R}\)
2. \(\sqrt{3 g R}\)
3. \(\sqrt{5 g R}\)
4. \(\sqrt{ g R}\)
A ball is thrown vertically downward from a height of \(20~\text m\) with an initial velocity \(v_0.\) It collides with the ground, loses \(50\%\) of its energy in a collision, and rebounds to the same height. The initial velocity \(v_0\) is:
(Take, \(g=10~\text{ms}^{-2}\))
| 1. | \(14~\text{ms}^{-1}\) | 2. | \(20~\text{ms}^{-1}\) |
| 3. | \(28~\text{ms}^{-1}\) | 4. | \(10~\text{ms}^{-1}\) |
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