Angular Momentum and its Conservation for a Rigid Body
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365646 Two disc are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc \(D_{1}\) has \(2\;kg\) mass and \(0.2{\rm{ }}m\) radius and initial angular of \(50 \mathrm{rads}^{-1}\). Disc \(D_{2}\) has \(4\;kg\) mass \(0.1\;m\) radius and initial angular velocity of \(200\,\,rad{s^{ - 1}}\). The two disc are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in \(\mathrm{rads}^{-1}\) ) of the system is

1 60
2 40
3 120
4 100
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365647 The angular momentum of a system of particles is not conserved

1 When a net external torque is acting upon the system
2 When a net external force acts upon the system
3 When a net external impulse is acting upon the system
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365648 Assertion :
For a system of particles under central force field, the total angular momentum is conserved.
Reason :
The torque acting on such a system is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365649 A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc

1 Continuously decreases
2 Continuously increases
3 First increases and then decreases
4 Remains unchanged
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365646 Two disc are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc \(D_{1}\) has \(2\;kg\) mass and \(0.2{\rm{ }}m\) radius and initial angular of \(50 \mathrm{rads}^{-1}\). Disc \(D_{2}\) has \(4\;kg\) mass \(0.1\;m\) radius and initial angular velocity of \(200\,\,rad{s^{ - 1}}\). The two disc are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in \(\mathrm{rads}^{-1}\) ) of the system is

1 60
2 40
3 120
4 100
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365647 The angular momentum of a system of particles is not conserved

1 When a net external torque is acting upon the system
2 When a net external force acts upon the system
3 When a net external impulse is acting upon the system
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365648 Assertion :
For a system of particles under central force field, the total angular momentum is conserved.
Reason :
The torque acting on such a system is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365649 A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc

1 Continuously decreases
2 Continuously increases
3 First increases and then decreases
4 Remains unchanged
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365646 Two disc are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc \(D_{1}\) has \(2\;kg\) mass and \(0.2{\rm{ }}m\) radius and initial angular of \(50 \mathrm{rads}^{-1}\). Disc \(D_{2}\) has \(4\;kg\) mass \(0.1\;m\) radius and initial angular velocity of \(200\,\,rad{s^{ - 1}}\). The two disc are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in \(\mathrm{rads}^{-1}\) ) of the system is

1 60
2 40
3 120
4 100
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365647 The angular momentum of a system of particles is not conserved

1 When a net external torque is acting upon the system
2 When a net external force acts upon the system
3 When a net external impulse is acting upon the system
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365648 Assertion :
For a system of particles under central force field, the total angular momentum is conserved.
Reason :
The torque acting on such a system is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365649 A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc

1 Continuously decreases
2 Continuously increases
3 First increases and then decreases
4 Remains unchanged
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365646 Two disc are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc \(D_{1}\) has \(2\;kg\) mass and \(0.2{\rm{ }}m\) radius and initial angular of \(50 \mathrm{rads}^{-1}\). Disc \(D_{2}\) has \(4\;kg\) mass \(0.1\;m\) radius and initial angular velocity of \(200\,\,rad{s^{ - 1}}\). The two disc are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in \(\mathrm{rads}^{-1}\) ) of the system is

1 60
2 40
3 120
4 100
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365647 The angular momentum of a system of particles is not conserved

1 When a net external torque is acting upon the system
2 When a net external force acts upon the system
3 When a net external impulse is acting upon the system
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365648 Assertion :
For a system of particles under central force field, the total angular momentum is conserved.
Reason :
The torque acting on such a system is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365649 A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc

1 Continuously decreases
2 Continuously increases
3 First increases and then decreases
4 Remains unchanged