02. Torque, Angular Momentum
Rotational Motion

149976 A particle of mass \(15 \mathrm{~kg}\) is moving with a uniform speed \(8 \mathrm{~ms}^{-1}\) in \(\mathrm{xy}\)-plane along the line \(3 y=4 x+10\), then the magnitude of its angular momentum about the origin in
\(\mathbf{k g}-\mathbf{m}^{2} \mathrm{~s}^{-1}\) is... \(\ left(\sin 53^{\circ}=\frac{4}{5}\ right\)

1 240
2 80
3 120
4 280
Rotational Motion

149977 A torque of \(1 \mathbf{N}-\mathrm{m}\) is applied to a wheel which is at rest. After 2 second the angular momentum in \(\mathrm{kg}-\mathrm{m}^{2} / \mathrm{s}\) is

1 0.5
2 1
3 2
4 4
5 3
Rotational Motion

149978 A solid sphere of mass \(2 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is free to rotate about an axis passing through its centre. A constant tangential force ' \(F\) ' is required to rotate the sphere with \(10 \mathrm{rad} \mathrm{s}^{-1}\) in 2 s starting from rest. Then the value of \(F\) is

1 \(2 \mathrm{~N}\)
2 \(4 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149979 Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities \(\omega_{1}\) and \(\omega_{2}\). They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is

1 \(\frac{1}{2} \mathrm{I}\left(\omega_1+\omega_2\right)^2\)
2 \(\frac{1}{4} \mathrm{I}\left(\omega_1-\omega_2\right)^2\)
3 \(\mathrm{I}\left(\omega_1-\omega_2\right)\)
4 \(\frac{1}{8}\left(\omega_1-\omega_2\right)^2\)
Rotational Motion

149976 A particle of mass \(15 \mathrm{~kg}\) is moving with a uniform speed \(8 \mathrm{~ms}^{-1}\) in \(\mathrm{xy}\)-plane along the line \(3 y=4 x+10\), then the magnitude of its angular momentum about the origin in
\(\mathbf{k g}-\mathbf{m}^{2} \mathrm{~s}^{-1}\) is... \(\ left(\sin 53^{\circ}=\frac{4}{5}\ right\)

1 240
2 80
3 120
4 280
Rotational Motion

149977 A torque of \(1 \mathbf{N}-\mathrm{m}\) is applied to a wheel which is at rest. After 2 second the angular momentum in \(\mathrm{kg}-\mathrm{m}^{2} / \mathrm{s}\) is

1 0.5
2 1
3 2
4 4
5 3
Rotational Motion

149978 A solid sphere of mass \(2 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is free to rotate about an axis passing through its centre. A constant tangential force ' \(F\) ' is required to rotate the sphere with \(10 \mathrm{rad} \mathrm{s}^{-1}\) in 2 s starting from rest. Then the value of \(F\) is

1 \(2 \mathrm{~N}\)
2 \(4 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149979 Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities \(\omega_{1}\) and \(\omega_{2}\). They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is

1 \(\frac{1}{2} \mathrm{I}\left(\omega_1+\omega_2\right)^2\)
2 \(\frac{1}{4} \mathrm{I}\left(\omega_1-\omega_2\right)^2\)
3 \(\mathrm{I}\left(\omega_1-\omega_2\right)\)
4 \(\frac{1}{8}\left(\omega_1-\omega_2\right)^2\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

149976 A particle of mass \(15 \mathrm{~kg}\) is moving with a uniform speed \(8 \mathrm{~ms}^{-1}\) in \(\mathrm{xy}\)-plane along the line \(3 y=4 x+10\), then the magnitude of its angular momentum about the origin in
\(\mathbf{k g}-\mathbf{m}^{2} \mathrm{~s}^{-1}\) is... \(\ left(\sin 53^{\circ}=\frac{4}{5}\ right\)

1 240
2 80
3 120
4 280
Rotational Motion

149977 A torque of \(1 \mathbf{N}-\mathrm{m}\) is applied to a wheel which is at rest. After 2 second the angular momentum in \(\mathrm{kg}-\mathrm{m}^{2} / \mathrm{s}\) is

1 0.5
2 1
3 2
4 4
5 3
Rotational Motion

149978 A solid sphere of mass \(2 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is free to rotate about an axis passing through its centre. A constant tangential force ' \(F\) ' is required to rotate the sphere with \(10 \mathrm{rad} \mathrm{s}^{-1}\) in 2 s starting from rest. Then the value of \(F\) is

1 \(2 \mathrm{~N}\)
2 \(4 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149979 Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities \(\omega_{1}\) and \(\omega_{2}\). They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is

1 \(\frac{1}{2} \mathrm{I}\left(\omega_1+\omega_2\right)^2\)
2 \(\frac{1}{4} \mathrm{I}\left(\omega_1-\omega_2\right)^2\)
3 \(\mathrm{I}\left(\omega_1-\omega_2\right)\)
4 \(\frac{1}{8}\left(\omega_1-\omega_2\right)^2\)
Rotational Motion

149976 A particle of mass \(15 \mathrm{~kg}\) is moving with a uniform speed \(8 \mathrm{~ms}^{-1}\) in \(\mathrm{xy}\)-plane along the line \(3 y=4 x+10\), then the magnitude of its angular momentum about the origin in
\(\mathbf{k g}-\mathbf{m}^{2} \mathrm{~s}^{-1}\) is... \(\ left(\sin 53^{\circ}=\frac{4}{5}\ right\)

1 240
2 80
3 120
4 280
Rotational Motion

149977 A torque of \(1 \mathbf{N}-\mathrm{m}\) is applied to a wheel which is at rest. After 2 second the angular momentum in \(\mathrm{kg}-\mathrm{m}^{2} / \mathrm{s}\) is

1 0.5
2 1
3 2
4 4
5 3
Rotational Motion

149978 A solid sphere of mass \(2 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is free to rotate about an axis passing through its centre. A constant tangential force ' \(F\) ' is required to rotate the sphere with \(10 \mathrm{rad} \mathrm{s}^{-1}\) in 2 s starting from rest. Then the value of \(F\) is

1 \(2 \mathrm{~N}\)
2 \(4 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149979 Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities \(\omega_{1}\) and \(\omega_{2}\). They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is

1 \(\frac{1}{2} \mathrm{I}\left(\omega_1+\omega_2\right)^2\)
2 \(\frac{1}{4} \mathrm{I}\left(\omega_1-\omega_2\right)^2\)
3 \(\mathrm{I}\left(\omega_1-\omega_2\right)\)
4 \(\frac{1}{8}\left(\omega_1-\omega_2\right)^2\)