02. Torque, Angular Momentum
Rotational Motion

149946 A ballet dancer suddenly folds her outstretched arms. Her angular velocity

1 Increases
2 Decreases
3 Remains the same
4 May increase or decrease
Rotational Motion

149947 A disc of moment of inertia \(I_{1}\) is rotating with an angular velocity \(\omega_{1}\). Another disc of moment of inertia \(I_{2}\) which is not rotating, is gently put on the first disc. The angular speed of the system will be

1 \(\left(\frac{I_{1}+I_{2}}{I_{1}}\right) \omega_{1}\)
2 \(\left(\frac{I_{1}}{I_{1}+I_{2}}\right) \omega_{1}\)
3 \(\left(\frac{I_{1}-I_{2}}{I_{1}}\right) \omega_{1}\)
4 \(\left(\frac{I_{1}}{I_{1}-I_{2}}\right) \omega_{1}\)
Rotational Motion

149949 A rod ' \(l\) ' \(\mathbf{m}\) long is acted upon by a couple as shown in figure. The moment of couple is ' \(\tau\) ' \(\mathrm{Nm}\). If the force at each end of the rod, the magnitude of each force is
\(\ left(\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}\ right\)

1 \(\frac{\ell}{2 \tau}\)
2 \(\frac{\tau}{\ell}\)
3 \(\frac{2 \ell}{\tau}\)
4 \(\frac{2 \tau}{\ell}\)
Rotational Motion

149950 Three point masses each of mass ' \(m\) ' are kept at the corners of an equilateral triangle of side ' \(L\) '. The system rotates about the centre of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to \(\left(\cos 30^{0}=\right.\) \(\sin 60^{0}=\sqrt{3} / 2\)

1 \(\mathrm{L}^{\frac{3}{2}}\)
2 \(\sqrt{\mathrm{L}}\)
3 \(\mathrm{L}^{2}\)
4 \(\mathrm{L}\)
Rotational Motion

149946 A ballet dancer suddenly folds her outstretched arms. Her angular velocity

1 Increases
2 Decreases
3 Remains the same
4 May increase or decrease
Rotational Motion

149947 A disc of moment of inertia \(I_{1}\) is rotating with an angular velocity \(\omega_{1}\). Another disc of moment of inertia \(I_{2}\) which is not rotating, is gently put on the first disc. The angular speed of the system will be

1 \(\left(\frac{I_{1}+I_{2}}{I_{1}}\right) \omega_{1}\)
2 \(\left(\frac{I_{1}}{I_{1}+I_{2}}\right) \omega_{1}\)
3 \(\left(\frac{I_{1}-I_{2}}{I_{1}}\right) \omega_{1}\)
4 \(\left(\frac{I_{1}}{I_{1}-I_{2}}\right) \omega_{1}\)
Rotational Motion

149949 A rod ' \(l\) ' \(\mathbf{m}\) long is acted upon by a couple as shown in figure. The moment of couple is ' \(\tau\) ' \(\mathrm{Nm}\). If the force at each end of the rod, the magnitude of each force is
\(\ left(\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}\ right\)

1 \(\frac{\ell}{2 \tau}\)
2 \(\frac{\tau}{\ell}\)
3 \(\frac{2 \ell}{\tau}\)
4 \(\frac{2 \tau}{\ell}\)
Rotational Motion

149950 Three point masses each of mass ' \(m\) ' are kept at the corners of an equilateral triangle of side ' \(L\) '. The system rotates about the centre of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to \(\left(\cos 30^{0}=\right.\) \(\sin 60^{0}=\sqrt{3} / 2\)

1 \(\mathrm{L}^{\frac{3}{2}}\)
2 \(\sqrt{\mathrm{L}}\)
3 \(\mathrm{L}^{2}\)
4 \(\mathrm{L}\)
Rotational Motion

149946 A ballet dancer suddenly folds her outstretched arms. Her angular velocity

1 Increases
2 Decreases
3 Remains the same
4 May increase or decrease
Rotational Motion

149947 A disc of moment of inertia \(I_{1}\) is rotating with an angular velocity \(\omega_{1}\). Another disc of moment of inertia \(I_{2}\) which is not rotating, is gently put on the first disc. The angular speed of the system will be

1 \(\left(\frac{I_{1}+I_{2}}{I_{1}}\right) \omega_{1}\)
2 \(\left(\frac{I_{1}}{I_{1}+I_{2}}\right) \omega_{1}\)
3 \(\left(\frac{I_{1}-I_{2}}{I_{1}}\right) \omega_{1}\)
4 \(\left(\frac{I_{1}}{I_{1}-I_{2}}\right) \omega_{1}\)
Rotational Motion

149949 A rod ' \(l\) ' \(\mathbf{m}\) long is acted upon by a couple as shown in figure. The moment of couple is ' \(\tau\) ' \(\mathrm{Nm}\). If the force at each end of the rod, the magnitude of each force is
\(\ left(\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}\ right\)

1 \(\frac{\ell}{2 \tau}\)
2 \(\frac{\tau}{\ell}\)
3 \(\frac{2 \ell}{\tau}\)
4 \(\frac{2 \tau}{\ell}\)
Rotational Motion

149950 Three point masses each of mass ' \(m\) ' are kept at the corners of an equilateral triangle of side ' \(L\) '. The system rotates about the centre of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to \(\left(\cos 30^{0}=\right.\) \(\sin 60^{0}=\sqrt{3} / 2\)

1 \(\mathrm{L}^{\frac{3}{2}}\)
2 \(\sqrt{\mathrm{L}}\)
3 \(\mathrm{L}^{2}\)
4 \(\mathrm{L}\)
Rotational Motion

149946 A ballet dancer suddenly folds her outstretched arms. Her angular velocity

1 Increases
2 Decreases
3 Remains the same
4 May increase or decrease
Rotational Motion

149947 A disc of moment of inertia \(I_{1}\) is rotating with an angular velocity \(\omega_{1}\). Another disc of moment of inertia \(I_{2}\) which is not rotating, is gently put on the first disc. The angular speed of the system will be

1 \(\left(\frac{I_{1}+I_{2}}{I_{1}}\right) \omega_{1}\)
2 \(\left(\frac{I_{1}}{I_{1}+I_{2}}\right) \omega_{1}\)
3 \(\left(\frac{I_{1}-I_{2}}{I_{1}}\right) \omega_{1}\)
4 \(\left(\frac{I_{1}}{I_{1}-I_{2}}\right) \omega_{1}\)
Rotational Motion

149949 A rod ' \(l\) ' \(\mathbf{m}\) long is acted upon by a couple as shown in figure. The moment of couple is ' \(\tau\) ' \(\mathrm{Nm}\). If the force at each end of the rod, the magnitude of each force is
\(\ left(\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}\ right\)

1 \(\frac{\ell}{2 \tau}\)
2 \(\frac{\tau}{\ell}\)
3 \(\frac{2 \ell}{\tau}\)
4 \(\frac{2 \tau}{\ell}\)
Rotational Motion

149950 Three point masses each of mass ' \(m\) ' are kept at the corners of an equilateral triangle of side ' \(L\) '. The system rotates about the centre of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to \(\left(\cos 30^{0}=\right.\) \(\sin 60^{0}=\sqrt{3} / 2\)

1 \(\mathrm{L}^{\frac{3}{2}}\)
2 \(\sqrt{\mathrm{L}}\)
3 \(\mathrm{L}^{2}\)
4 \(\mathrm{L}\)