01. Angular Displacement, Velocity and Acceleration
Rotational Motion

149841 When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest?

1 24
2 36
3 18
4 12
Rotational Motion

149842 A tube of length \(L\) is filled completely with an incompressible liquid of mass \(M\) and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity \(\omega\). The force exerted by the liquid at the other end will be

1 \(\frac{1}{2} \mathrm{M}^{2} \omega^{2} \mathrm{~L}\)
2 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}\)
3 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}^{2}\)
4 None of these
Rotational Motion

149843 A ball of mass \(M=0.5 \mathrm{~kg}\) is attached to one end of a string of length \(L=0.5 \mathrm{~m}\). The ball rotates circularly in horizontal plane along vertical axis. If maximum tension which can be applied on string is \(324 \mathrm{~N}\), what will be the maximum expected angular velocity of the ball?

1 \(9 \mathrm{rad} / \mathrm{s}\)
2 \(18 \mathrm{rad} / \mathrm{s}\)
3 \(27 \mathrm{rad} / \mathrm{s}\)
4 \(36 \mathrm{rad} / \mathrm{s}\)
Rotational Motion

149844 A thin circular ring of mass \(M\) and radius \(r\) is rotating about its axis with a constant angular velocity \(\omega\). Two objects each of mass \(m\) are attached gently on the opposite ends of the diameter of the ring. The angular velocity of the ring now will be

1 \(\omega\)
2 \(\frac{M+2 m}{M} \omega\)
3 \(\frac{\omega \mathrm{M}}{\mathrm{m}}\)
4 \(\frac{\omega M}{M+2 m}\)
Rotational Motion

149845 A particle is moving along a circular path with uniform speed. Through what angle does it angular velocity change when it completes half of the circular path?

1 \(0^{\circ}\)
2 \(45^{\circ}\)
3 \(180^{\circ}\)
4 \(360^{\circ}\)
Rotational Motion

149841 When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest?

1 24
2 36
3 18
4 12
Rotational Motion

149842 A tube of length \(L\) is filled completely with an incompressible liquid of mass \(M\) and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity \(\omega\). The force exerted by the liquid at the other end will be

1 \(\frac{1}{2} \mathrm{M}^{2} \omega^{2} \mathrm{~L}\)
2 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}\)
3 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}^{2}\)
4 None of these
Rotational Motion

149843 A ball of mass \(M=0.5 \mathrm{~kg}\) is attached to one end of a string of length \(L=0.5 \mathrm{~m}\). The ball rotates circularly in horizontal plane along vertical axis. If maximum tension which can be applied on string is \(324 \mathrm{~N}\), what will be the maximum expected angular velocity of the ball?

1 \(9 \mathrm{rad} / \mathrm{s}\)
2 \(18 \mathrm{rad} / \mathrm{s}\)
3 \(27 \mathrm{rad} / \mathrm{s}\)
4 \(36 \mathrm{rad} / \mathrm{s}\)
Rotational Motion

149844 A thin circular ring of mass \(M\) and radius \(r\) is rotating about its axis with a constant angular velocity \(\omega\). Two objects each of mass \(m\) are attached gently on the opposite ends of the diameter of the ring. The angular velocity of the ring now will be

1 \(\omega\)
2 \(\frac{M+2 m}{M} \omega\)
3 \(\frac{\omega \mathrm{M}}{\mathrm{m}}\)
4 \(\frac{\omega M}{M+2 m}\)
Rotational Motion

149845 A particle is moving along a circular path with uniform speed. Through what angle does it angular velocity change when it completes half of the circular path?

1 \(0^{\circ}\)
2 \(45^{\circ}\)
3 \(180^{\circ}\)
4 \(360^{\circ}\)
Rotational Motion

149841 When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest?

1 24
2 36
3 18
4 12
Rotational Motion

149842 A tube of length \(L\) is filled completely with an incompressible liquid of mass \(M\) and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity \(\omega\). The force exerted by the liquid at the other end will be

1 \(\frac{1}{2} \mathrm{M}^{2} \omega^{2} \mathrm{~L}\)
2 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}\)
3 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}^{2}\)
4 None of these
Rotational Motion

149843 A ball of mass \(M=0.5 \mathrm{~kg}\) is attached to one end of a string of length \(L=0.5 \mathrm{~m}\). The ball rotates circularly in horizontal plane along vertical axis. If maximum tension which can be applied on string is \(324 \mathrm{~N}\), what will be the maximum expected angular velocity of the ball?

1 \(9 \mathrm{rad} / \mathrm{s}\)
2 \(18 \mathrm{rad} / \mathrm{s}\)
3 \(27 \mathrm{rad} / \mathrm{s}\)
4 \(36 \mathrm{rad} / \mathrm{s}\)
Rotational Motion

149844 A thin circular ring of mass \(M\) and radius \(r\) is rotating about its axis with a constant angular velocity \(\omega\). Two objects each of mass \(m\) are attached gently on the opposite ends of the diameter of the ring. The angular velocity of the ring now will be

1 \(\omega\)
2 \(\frac{M+2 m}{M} \omega\)
3 \(\frac{\omega \mathrm{M}}{\mathrm{m}}\)
4 \(\frac{\omega M}{M+2 m}\)
Rotational Motion

149845 A particle is moving along a circular path with uniform speed. Through what angle does it angular velocity change when it completes half of the circular path?

1 \(0^{\circ}\)
2 \(45^{\circ}\)
3 \(180^{\circ}\)
4 \(360^{\circ}\)
Rotational Motion

149841 When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest?

1 24
2 36
3 18
4 12
Rotational Motion

149842 A tube of length \(L\) is filled completely with an incompressible liquid of mass \(M\) and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity \(\omega\). The force exerted by the liquid at the other end will be

1 \(\frac{1}{2} \mathrm{M}^{2} \omega^{2} \mathrm{~L}\)
2 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}\)
3 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}^{2}\)
4 None of these
Rotational Motion

149843 A ball of mass \(M=0.5 \mathrm{~kg}\) is attached to one end of a string of length \(L=0.5 \mathrm{~m}\). The ball rotates circularly in horizontal plane along vertical axis. If maximum tension which can be applied on string is \(324 \mathrm{~N}\), what will be the maximum expected angular velocity of the ball?

1 \(9 \mathrm{rad} / \mathrm{s}\)
2 \(18 \mathrm{rad} / \mathrm{s}\)
3 \(27 \mathrm{rad} / \mathrm{s}\)
4 \(36 \mathrm{rad} / \mathrm{s}\)
Rotational Motion

149844 A thin circular ring of mass \(M\) and radius \(r\) is rotating about its axis with a constant angular velocity \(\omega\). Two objects each of mass \(m\) are attached gently on the opposite ends of the diameter of the ring. The angular velocity of the ring now will be

1 \(\omega\)
2 \(\frac{M+2 m}{M} \omega\)
3 \(\frac{\omega \mathrm{M}}{\mathrm{m}}\)
4 \(\frac{\omega M}{M+2 m}\)
Rotational Motion

149845 A particle is moving along a circular path with uniform speed. Through what angle does it angular velocity change when it completes half of the circular path?

1 \(0^{\circ}\)
2 \(45^{\circ}\)
3 \(180^{\circ}\)
4 \(360^{\circ}\)
Rotational Motion

149841 When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest?

1 24
2 36
3 18
4 12
Rotational Motion

149842 A tube of length \(L\) is filled completely with an incompressible liquid of mass \(M\) and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity \(\omega\). The force exerted by the liquid at the other end will be

1 \(\frac{1}{2} \mathrm{M}^{2} \omega^{2} \mathrm{~L}\)
2 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}\)
3 \(\frac{1}{2} \mathrm{M} \omega^{2} \mathrm{~L}^{2}\)
4 None of these
Rotational Motion

149843 A ball of mass \(M=0.5 \mathrm{~kg}\) is attached to one end of a string of length \(L=0.5 \mathrm{~m}\). The ball rotates circularly in horizontal plane along vertical axis. If maximum tension which can be applied on string is \(324 \mathrm{~N}\), what will be the maximum expected angular velocity of the ball?

1 \(9 \mathrm{rad} / \mathrm{s}\)
2 \(18 \mathrm{rad} / \mathrm{s}\)
3 \(27 \mathrm{rad} / \mathrm{s}\)
4 \(36 \mathrm{rad} / \mathrm{s}\)
Rotational Motion

149844 A thin circular ring of mass \(M\) and radius \(r\) is rotating about its axis with a constant angular velocity \(\omega\). Two objects each of mass \(m\) are attached gently on the opposite ends of the diameter of the ring. The angular velocity of the ring now will be

1 \(\omega\)
2 \(\frac{M+2 m}{M} \omega\)
3 \(\frac{\omega \mathrm{M}}{\mathrm{m}}\)
4 \(\frac{\omega M}{M+2 m}\)
Rotational Motion

149845 A particle is moving along a circular path with uniform speed. Through what angle does it angular velocity change when it completes half of the circular path?

1 \(0^{\circ}\)
2 \(45^{\circ}\)
3 \(180^{\circ}\)
4 \(360^{\circ}\)