A particle of mass m moves in the XY plane with a velocity of V along the straight line AB. If the angular momentum of the particle about the origin O is LA when it is at A and LB when it is at B, then:
1. | \(\mathrm{L}_{\mathrm{A}}>\mathrm{L}_{\mathrm{B}}\) |
2. | \(\mathrm{L}_{\mathrm{A}}=\mathrm{L}_{\mathrm{B}}\) |
3. | The relationship between \(\mathrm{L}_{\mathrm{A}} \text { and } \mathrm{L}_{\mathrm{B}}\) depends upon the slope of the line AB |
4. | \(\mathrm{L}_{\mathrm{A}}<\mathrm{L}_{\mathrm{B}}\) |
A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time a viscous fluid of mass 'm' is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period
1. Decreases continuously
2. Decreases initially and increases again
3. Remains unaltered
4. Increases continuously
In an orbital motion, the angular momentum vector is
1. Along the radius vector
2. Parallel to the linear momentum
3. In the orbital plane
4. Perpendicular to the orbital plane
The motion of planets in the solar system is an example of the conservation of
1. mass
2. Linear momentum
3. Angular momentum
4. Energy
A wheel is subjected to uniform angular acceleration about its axis. Initially, its angular velocity is zero. In the first 2 sec, it rotates through an angle θ1. In the next 2 seconds, it rotates through an additional angle θ2. The ratio of θ2/θ1 is:
1. | 1 | 2. | 2 |
3. | 3 | 4. | 5 |