02. Torque, Angular Momentum
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

149970 Assertion: An ice-skater stretches out arms-legs during performance.
Reason: Stretching out arms-legs helps the performer to balance his or her body so that he or she does not fall.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149973 If a disc of mass \(M\) and radius \(R\) rotates with an angular acceleration \(a\), of the torque acting on the disc is

1 \(\mathrm{MR}^{2} \mathrm{a}\)
2 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{2}\)
3 \(\frac{2 \mathrm{MR}^{2} \mathrm{a}}{5}\)
4 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{12}\)
Rotational Motion

149974 A uniform disc of mass \(100 \mathrm{~kg}\) and radius \(2 \mathrm{~m}\) is rotating at \(1 \mathrm{rad} / \mathrm{s}\) about a perpendicular axis passing through its centre. A boy of mass \(60 \mathrm{~kg}\) standing at the centre of the disk suddenly jumps to a point which is \(1 \mathrm{~m}\) from the centre of the disc. The final angular velocity of the boy (in \(\mathrm{rad} / \mathrm{s}\)is

1 0.77
2 0.5
3 41
4 2
Rotational Motion

149975 A force \(F_{1}=\mathbf{A} \hat{\mathbf{j}}\) is applied to a point, whose radius vector \(r_{1}=a \hat{i}\), while a force \(F_{2}=B \hat{i}\), is applied to the point whose radius vector \(\mathbf{r}_{2}=\mathbf{b j}\). Both the radius vectors are determined relative to the origin of the coordinate axes \(O\). The moment of the force relative to \(O\) is

1 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{k}}\)
2 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{j}}\)
3 \(\mathrm{ab}-\mathrm{AB}) \hat{\mathrm{k}}\)
4 \(\mathrm{aB}-\mathrm{bA}) \hat{\mathrm{j}}\)
Rotational Motion

149970 Assertion: An ice-skater stretches out arms-legs during performance.
Reason: Stretching out arms-legs helps the performer to balance his or her body so that he or she does not fall.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149973 If a disc of mass \(M\) and radius \(R\) rotates with an angular acceleration \(a\), of the torque acting on the disc is

1 \(\mathrm{MR}^{2} \mathrm{a}\)
2 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{2}\)
3 \(\frac{2 \mathrm{MR}^{2} \mathrm{a}}{5}\)
4 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{12}\)
Rotational Motion

149974 A uniform disc of mass \(100 \mathrm{~kg}\) and radius \(2 \mathrm{~m}\) is rotating at \(1 \mathrm{rad} / \mathrm{s}\) about a perpendicular axis passing through its centre. A boy of mass \(60 \mathrm{~kg}\) standing at the centre of the disk suddenly jumps to a point which is \(1 \mathrm{~m}\) from the centre of the disc. The final angular velocity of the boy (in \(\mathrm{rad} / \mathrm{s}\)is

1 0.77
2 0.5
3 41
4 2
Rotational Motion

149975 A force \(F_{1}=\mathbf{A} \hat{\mathbf{j}}\) is applied to a point, whose radius vector \(r_{1}=a \hat{i}\), while a force \(F_{2}=B \hat{i}\), is applied to the point whose radius vector \(\mathbf{r}_{2}=\mathbf{b j}\). Both the radius vectors are determined relative to the origin of the coordinate axes \(O\). The moment of the force relative to \(O\) is

1 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{k}}\)
2 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{j}}\)
3 \(\mathrm{ab}-\mathrm{AB}) \hat{\mathrm{k}}\)
4 \(\mathrm{aB}-\mathrm{bA}) \hat{\mathrm{j}}\)
Rotational Motion

149970 Assertion: An ice-skater stretches out arms-legs during performance.
Reason: Stretching out arms-legs helps the performer to balance his or her body so that he or she does not fall.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149973 If a disc of mass \(M\) and radius \(R\) rotates with an angular acceleration \(a\), of the torque acting on the disc is

1 \(\mathrm{MR}^{2} \mathrm{a}\)
2 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{2}\)
3 \(\frac{2 \mathrm{MR}^{2} \mathrm{a}}{5}\)
4 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{12}\)
Rotational Motion

149974 A uniform disc of mass \(100 \mathrm{~kg}\) and radius \(2 \mathrm{~m}\) is rotating at \(1 \mathrm{rad} / \mathrm{s}\) about a perpendicular axis passing through its centre. A boy of mass \(60 \mathrm{~kg}\) standing at the centre of the disk suddenly jumps to a point which is \(1 \mathrm{~m}\) from the centre of the disc. The final angular velocity of the boy (in \(\mathrm{rad} / \mathrm{s}\)is

1 0.77
2 0.5
3 41
4 2
Rotational Motion

149975 A force \(F_{1}=\mathbf{A} \hat{\mathbf{j}}\) is applied to a point, whose radius vector \(r_{1}=a \hat{i}\), while a force \(F_{2}=B \hat{i}\), is applied to the point whose radius vector \(\mathbf{r}_{2}=\mathbf{b j}\). Both the radius vectors are determined relative to the origin of the coordinate axes \(O\). The moment of the force relative to \(O\) is

1 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{k}}\)
2 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{j}}\)
3 \(\mathrm{ab}-\mathrm{AB}) \hat{\mathrm{k}}\)
4 \(\mathrm{aB}-\mathrm{bA}) \hat{\mathrm{j}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

149970 Assertion: An ice-skater stretches out arms-legs during performance.
Reason: Stretching out arms-legs helps the performer to balance his or her body so that he or she does not fall.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Rotational Motion

149973 If a disc of mass \(M\) and radius \(R\) rotates with an angular acceleration \(a\), of the torque acting on the disc is

1 \(\mathrm{MR}^{2} \mathrm{a}\)
2 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{2}\)
3 \(\frac{2 \mathrm{MR}^{2} \mathrm{a}}{5}\)
4 \(\frac{\mathrm{MR}^{2} \mathrm{a}}{12}\)
Rotational Motion

149974 A uniform disc of mass \(100 \mathrm{~kg}\) and radius \(2 \mathrm{~m}\) is rotating at \(1 \mathrm{rad} / \mathrm{s}\) about a perpendicular axis passing through its centre. A boy of mass \(60 \mathrm{~kg}\) standing at the centre of the disk suddenly jumps to a point which is \(1 \mathrm{~m}\) from the centre of the disc. The final angular velocity of the boy (in \(\mathrm{rad} / \mathrm{s}\)is

1 0.77
2 0.5
3 41
4 2
Rotational Motion

149975 A force \(F_{1}=\mathbf{A} \hat{\mathbf{j}}\) is applied to a point, whose radius vector \(r_{1}=a \hat{i}\), while a force \(F_{2}=B \hat{i}\), is applied to the point whose radius vector \(\mathbf{r}_{2}=\mathbf{b j}\). Both the radius vectors are determined relative to the origin of the coordinate axes \(O\). The moment of the force relative to \(O\) is

1 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{k}}\)
2 \(\mathrm{aA}-\mathrm{bB}) \hat{\mathrm{j}}\)
3 \(\mathrm{ab}-\mathrm{AB}) \hat{\mathrm{k}}\)
4 \(\mathrm{aB}-\mathrm{bA}) \hat{\mathrm{j}}\)