- 1(current)
Q. No.A particle of mass \(m\) is moving in \(yz\text-\)plane with a uniform velocity \(v\) with its trajectory running parallel to the \(+\text{ve}\) \(y\text{-}\)axis and intersecting \(z\text{-}\)axis at \(z=a\) in the figure. The change in its angular momentum about the origin as it bounces elastically from a wall at \(y\) = constant is:
| 1. | \(mva~\hat e_{x}\) | 2. | \(2mva~\hat e_{x}\) |
| 3. | \(ymva~\hat e_{x}\) | 4. | \(2ymva~\hat e_{x}\) |
A merry-go-round, made of a ring-like platform of radius \(R\) and mass \(M,\) is revolving with the angular speed . A person of mass \(M\) is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is:
1. \(\omega\)
2. \(2\omega\)
3. \(\omega/2\)
4. \(0\)
| (a) | For a general rotational motion, angular momentum \(L\) and angular velocity \(\omega\) need not to be parallel. |
| (b) | For a rotational motion about a fixed axis, angular momentum \(L\) and angular velocity \(\omega\) are always parallel. |
| (c) | For a general translational motion, momentum \(p\) and velocity \(v\) are always parallel. |
| (d) | For a general translational motion, acceleration \(a\) and velocity \(v\) are always parallel. |
Choose the correct option from the given ones:
| 1. | (a) and (c) | 2. | (b) and (c) |
| 3. | (c) and (d) | 4. | (a), (b) and (c) |
Consider the following statements.
| (a) | angular momentum \(l_1\) of particle \(1\) about \(A\) is \(l_1=mv(d_1)\) ⊙ |
| (b) | angular momentum \(l_1\) of particle \(2\) about \(A\) is \(l_1=mv(r_2)\) ⊙ |
| (c) | total angular momentum of the system about \(A\) is \(l=mv(r_1+r_2)\) ⊙ |
| (d) | total angular momentum of the system about \(A\) is \(l=mv(d_2-d_1)\) ⊗ |
Choose the correct option from the given ones:
| 1. | (a), (c) only |
| 2. | (a), (d) only |
| 3. | (b), (d) only |
| 4. | (b), (c) only |
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Q. No.
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