Torque and Angular Momentum
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366183 A particle of mass \(m\) is moving along the side of a square of side ' \(a\) ', with a uniform speed \(v\) in the \(x-y\) plane as shown in the figure. Which of the following statements is false for the angular momentum \(\vec{L}\) about the origin?
supporting img

1 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}-a\right] \hat{k}\) when the particle is moving from \(C\,\,to\,\,D.\)
2 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}+a\right] \hat{k}\) when the particle is moving from \(\mathrm{B}\) to \(\mathrm{C}\).
3 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from \(\mathrm{D}\) to \(\mathrm{A}\).
4 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from A to B.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366184 A particle of mass \((m)=5\) units is moving with a uniform speed \(v=3 \sqrt{2}\) units in the xoy - plane along the line \(y=x+4\). The magnitude of the angular momentum of the particle about the origin is

1 60 units
2 \(40 \sqrt{2}\) units
3 zero
4 7.5 units
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366185 A particle \(\mathrm{P}\) is moving along a straight line as shown in the figure. During the motion of the particle from \(A\) to \(B\) angular momentum of the particle about \(\mathrm{O}\)
supporting img

1 Increase
2 Decrease
3 Remains constant
4 First increases and then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366186 A particle of mass \(3\;kg\) moves along a straight line \(4 y-3 x=2\) (where \(x\) and \(y\) are in metre), with constant velocity \(5\;m/s\). The magnitude of angular momentum about the origin is

1 \(16\;kg\;{m^2}\;{s^{ - 1}}\)
2 \(6\;kg\;{m^2}\;{s^{ - 1}}\)
3 \(28\;kg\;{m^2}\;{s^{ - 1}}\)
4 \(1.6\;kg\;{m^2}\;{s^{ - 1}}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366183 A particle of mass \(m\) is moving along the side of a square of side ' \(a\) ', with a uniform speed \(v\) in the \(x-y\) plane as shown in the figure. Which of the following statements is false for the angular momentum \(\vec{L}\) about the origin?
supporting img

1 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}-a\right] \hat{k}\) when the particle is moving from \(C\,\,to\,\,D.\)
2 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}+a\right] \hat{k}\) when the particle is moving from \(\mathrm{B}\) to \(\mathrm{C}\).
3 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from \(\mathrm{D}\) to \(\mathrm{A}\).
4 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from A to B.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366184 A particle of mass \((m)=5\) units is moving with a uniform speed \(v=3 \sqrt{2}\) units in the xoy - plane along the line \(y=x+4\). The magnitude of the angular momentum of the particle about the origin is

1 60 units
2 \(40 \sqrt{2}\) units
3 zero
4 7.5 units
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366185 A particle \(\mathrm{P}\) is moving along a straight line as shown in the figure. During the motion of the particle from \(A\) to \(B\) angular momentum of the particle about \(\mathrm{O}\)
supporting img

1 Increase
2 Decrease
3 Remains constant
4 First increases and then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366186 A particle of mass \(3\;kg\) moves along a straight line \(4 y-3 x=2\) (where \(x\) and \(y\) are in metre), with constant velocity \(5\;m/s\). The magnitude of angular momentum about the origin is

1 \(16\;kg\;{m^2}\;{s^{ - 1}}\)
2 \(6\;kg\;{m^2}\;{s^{ - 1}}\)
3 \(28\;kg\;{m^2}\;{s^{ - 1}}\)
4 \(1.6\;kg\;{m^2}\;{s^{ - 1}}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366183 A particle of mass \(m\) is moving along the side of a square of side ' \(a\) ', with a uniform speed \(v\) in the \(x-y\) plane as shown in the figure. Which of the following statements is false for the angular momentum \(\vec{L}\) about the origin?
supporting img

1 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}-a\right] \hat{k}\) when the particle is moving from \(C\,\,to\,\,D.\)
2 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}+a\right] \hat{k}\) when the particle is moving from \(\mathrm{B}\) to \(\mathrm{C}\).
3 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from \(\mathrm{D}\) to \(\mathrm{A}\).
4 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from A to B.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366184 A particle of mass \((m)=5\) units is moving with a uniform speed \(v=3 \sqrt{2}\) units in the xoy - plane along the line \(y=x+4\). The magnitude of the angular momentum of the particle about the origin is

1 60 units
2 \(40 \sqrt{2}\) units
3 zero
4 7.5 units
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366185 A particle \(\mathrm{P}\) is moving along a straight line as shown in the figure. During the motion of the particle from \(A\) to \(B\) angular momentum of the particle about \(\mathrm{O}\)
supporting img

1 Increase
2 Decrease
3 Remains constant
4 First increases and then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366186 A particle of mass \(3\;kg\) moves along a straight line \(4 y-3 x=2\) (where \(x\) and \(y\) are in metre), with constant velocity \(5\;m/s\). The magnitude of angular momentum about the origin is

1 \(16\;kg\;{m^2}\;{s^{ - 1}}\)
2 \(6\;kg\;{m^2}\;{s^{ - 1}}\)
3 \(28\;kg\;{m^2}\;{s^{ - 1}}\)
4 \(1.6\;kg\;{m^2}\;{s^{ - 1}}\)
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366183 A particle of mass \(m\) is moving along the side of a square of side ' \(a\) ', with a uniform speed \(v\) in the \(x-y\) plane as shown in the figure. Which of the following statements is false for the angular momentum \(\vec{L}\) about the origin?
supporting img

1 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}-a\right] \hat{k}\) when the particle is moving from \(C\,\,to\,\,D.\)
2 \(\vec{L}=m v\left[\dfrac{R}{\sqrt{2}}+a\right] \hat{k}\) when the particle is moving from \(\mathrm{B}\) to \(\mathrm{C}\).
3 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from \(\mathrm{D}\) to \(\mathrm{A}\).
4 \(\vec{L}=-\dfrac{m v}{\sqrt{2}} R \hat{k}\) when the particle is moving from A to B.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366184 A particle of mass \((m)=5\) units is moving with a uniform speed \(v=3 \sqrt{2}\) units in the xoy - plane along the line \(y=x+4\). The magnitude of the angular momentum of the particle about the origin is

1 60 units
2 \(40 \sqrt{2}\) units
3 zero
4 7.5 units
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366185 A particle \(\mathrm{P}\) is moving along a straight line as shown in the figure. During the motion of the particle from \(A\) to \(B\) angular momentum of the particle about \(\mathrm{O}\)
supporting img

1 Increase
2 Decrease
3 Remains constant
4 First increases and then decreases
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366186 A particle of mass \(3\;kg\) moves along a straight line \(4 y-3 x=2\) (where \(x\) and \(y\) are in metre), with constant velocity \(5\;m/s\). The magnitude of angular momentum about the origin is

1 \(16\;kg\;{m^2}\;{s^{ - 1}}\)
2 \(6\;kg\;{m^2}\;{s^{ - 1}}\)
3 \(28\;kg\;{m^2}\;{s^{ - 1}}\)
4 \(1.6\;kg\;{m^2}\;{s^{ - 1}}\)
Join With Us for More Updates